Stochastic thermodynamics, fluctuation theorems and molecular machines
Open accessAbstract
Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics such as work, heat and entropy production to the level of individual trajectories of well-defined non-equilibrium ensembles. It applies whenever a non-equilibrium process is still coupled to one (or several) heat bath(s) of constant temperature. Paradigmatic systems are single colloidal particles in time-dependent laser traps, polymers in external flow, enzymes and molecular motors in single molecule assays, small biochemical networks and thermoelectric devices involving single electron transport. For such systems, a first-law like energy balance can be identified along fluctuating trajectories. For a basic Markovian dynamics implemented either on the continuum level with Langevin equations or on a discrete set of states as a master equation, thermodynamic consistency imposes a local-detailed balance constraint on noise and rates, respectively. Various integral and detailed fluctuation theorems, which are derived here in a unifying approach from one master theorem, constrain the probability distributions for work, heat and entropy production depending on the nature of the system and the choice of non-equilibrium conditions. For non-equilibrium steady states, particularly strong results hold like a generalized fluctuation-dissipation theorem involving entropy production. Ramifications and applications of these concepts include optimal driving between specified states in finite time, the role of measurement-based feedback processes and the relation between dissipation and irreversibility. Efficiency and, in particular, efficiency at maximum power can be discussed systematically beyond the linear response regime for two classes of molecular machines, isothermal ones such as molecular motors, and heat engines such as thermoelectric devices, using a common framework based on a cycle decomposition of entropy production.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Enzymes and molecular motors can be described thermodynamically by ensembles of discrete states.
“Thermodynamically, both enzymes and molecular motors can be described by ensembles of a discrete set of states.532–533”
From Protein Ensembles: How Does Nature Harness Thermodynamic Fluctuations for Life? The Diverse Functional Roles of Conformational Ensembles in the Cell (2016) · cites this paper as [532]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2001) · Wiley eBooks · doi:10.1002/0471200611 · Cited by 37,139 · see citing works
Elements of Information Theory
Cover, T. M., & Thomas, J. A. (2005) · doi:10.1002/047174882x · Cited by 13,791 · see citing works
Risken, H. (1984) · Springer series in synergetics · doi:10.1007/978-3-642-61544-3 · Cited by 9,128 · see citing works
Stochastic Processes in Physics and Chemistry
(2007) · Elsevier eBooks · doi:10.1016/b978-0-444-52965-7.x5000-4 · Cited by 9,070 · see citing works
Handbook of Stochastic Methods
Gardiner, C. W. (1983) · Springer series in synergetics · doi:10.1007/978-3-662-02377-8 · Cited by 6,039 · see citing works
Gammaitoni, L., Hänggi, P., Jung, P., & Marchesoni, F. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.223 · Cited by 5,443 · see citing works
Groot, S. R. D., & Mazur, P. (2002) · Elsevier eBooks · doi:10.1016/b978-0-444-50886-7.x5000-0 · Cited by 5,297 · see citing works
Nonequilibrium Equality for Free Energy Differences
Jarzynski, C. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.2690 · Cited by 5,231 · see citing works
Handbook of Stochastic Methods
Gardiner, C. W. (2004) · Springer series in synergetics · doi:10.1007/978-3-662-05389-8 · Cited by 3,376 · see citing works
Mechanics of Motor Proteins and the Cytoskeleton
Howard, & Clark (2002) · Applied Mechanics Reviews · doi:10.1115/1.1451234 · Cited by 2,909 · see citing works
Synthetic Molecular Motors and Mechanical Machines
Kay, E. R., Leigh, D. A., & Zerbetto, F. (2006) · Angewandte Chemie International Edition · doi:10.1002/anie.200504313 · Cited by 2,607 · see citing works
Crooks, G. E. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.2721 · Cited by 2,577 · see citing works
Brownian motors: noisy transport far from equilibrium
Reimann, P. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00081-3 · Cited by 2,561 · see citing works
Efficiency of a Carnot engine at maximum power output
Curzon, F. L., & Ahlborn, B. (1975) · American Journal of Physics · doi:10.1119/1.10023 · Cited by 2,330 · see citing works
Stochastic Processes in Physics and Chemistry
Cercignani, C. (2005) · Elsevier eBooks · doi:10.1016/b0-12-369401-9/00623-9 · Cited by 2,143 · see citing works
The Mechanics and Statistics of Active Matter
Ramaswamy, S. (2010) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-070909-104101 · Cited by 2,049 · see citing works
The large deviation approach to statistical mechanics
Touchette, H. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.05.002 · Cited by 1,982 · see citing works
The Feynman Lectures on Physics
Blanford, R. R. (2013) · Choice Reviews Online · doi:10.5860/choice.50-6817 · Cited by 1,888 · see citing works
Statistical Mechanics of Nonequilibrium Liquids
Evans, D. J., Morriss, G. P., Craig, D. P., & Mcweeny, R. (1990) · Elsevier eBooks · doi:10.1016/c2013-0-10633-2 · Cited by 1,849 · see citing works
Jülicher, F., Ajdari, A., & Prost, J. (1997) · Reviews of Modern Physics · doi:10.1103/revmodphys.69.1269 · Cited by 1,841 · see citing works
Fluctuations and Irreversible Processes
Onsager, L., & Machlup, S. (1953) · Physical Review · doi:10.1103/physrev.91.1505 · Cited by 1,795 · see citing works
Dynamical Ensembles in Nonequilibrium Statistical Mechanics
Gallavotti, G., & Cohen, E. G. D. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2694 · Cited by 1,703 · see citing works
Kubo, R., Toda, M., & Hashitsume, N. (1991) · Springer series in solid-state sciences · doi:10.1007/978-3-642-58244-8 · Cited by 1,697 · see citing works
Probability of second law violations in shearing steady states
Evans, D. J., Cohen, E. G. D., & Morriss, G. P. (1993) · Physical Review Letters · doi:10.1103/physrevlett.71.2401 · Cited by 1,691 · see citing works
Artificial Brownian motors: Controlling transport on the nanoscale
Peter Hänggi, A., & Marchesoni, F. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.387 · Cited by 1,556 · see citing works
Making molecular machines work
Browne, W. R., & Feringa, B. L. (2006) · Nature Nanotechnology · doi:10.1038/nnano.2006.45 · Cited by 1,477 · see citing works
Entropy Production along a Stochastic Trajectory and an Integral Fluctuation Theorem
Seifert, U. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.040602 · Cited by 1,470 · see citing works
Self-citationEXTENDED IRREVERSIBLE THERMODYNAMICS
(2008) · Elsevier eBooks · doi:10.1016/b978-044452188-0.50020-3 · Cited by 1,462 · see citing works
A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
Lebowitz, J. L., & Spohn, H. (1999) · Journal of Statistical Physics · doi:10.1023/a:1004589714161 · Cited by 1,419 · see citing works
Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
Esposito, M., Harbola, U., & Mukamel, S. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1665 · Cited by 1,414 · see citing works
Equilibrium free-energy differences from nonequilibrium measurements: A master-equation approach
Jarzynski, C. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.56.5018 · Cited by 1,396 · see citing works
Colloquium: Quantum fluctuation relations: Foundations and applications
Campisi, M., Peter Hänggi, A., & Peter Talkner, A. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.771 · Cited by 1,278 · see citing works
Experimental verification of Landauer’s principle linking information and thermodynamics
Bérut, A., Arakelyan, A., Petrosyan, A., Ciliberto, S., Dillenschneider, R., & Lutz, E. (2012) · Nature · doi:10.1038/nature10872 · Cited by 1,248 · see citing works
Liphardt, J., Dumont, S., Smith, S. B., Tinoco, I., & Bustamante, C. (2002) · Science · doi:10.1126/science.1071152 · Cited by 1,243 · see citing works
Network theory of microscopic and macroscopic behavior of master equation systems
Schnakenberg, J. (1976) · Reviews of Modern Physics · doi:10.1103/revmodphys.48.571 · Cited by 1,122 · see citing works
Fluctuation theorem for stochastic dynamics
Jorge Kurchan, B. (1998) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/31/16/003 · Cited by 1,070 · see citing works
Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
Collin, D., Ritort, F., Jarzynski, C., Smith, S. B., Tinoco, I., & Bustamante, C. (2005) · Nature · doi:10.1038/nature04061 · Cited by 1,051 · see citing works
Why molecules move along a temperature gradient
Duhr, S., & Braun, D. (2006) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0603873103 · Cited by 1,012 · see citing works
Free energy reconstruction from nonequilibrium single-molecule pulling experiments
Hummer, G., & Szabó, A. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.071034098 · Cited by 998 · see citing works
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale
Jarzynski, C. (2011) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-062910-140506 · Cited by 995 · see citing works
Kubo, R., Toda, M., & Hashitsume, N. (1985) · Springer series in solid-state sciences · doi:10.1007/978-3-642-96701-6 · Cited by 985 · see citing works
Sekimoto, K. (2010) · Lecture notes in physics · doi:10.1007/978-3-642-05411-2 · Cited by 962 · see citing works
Bath, J., & Turberfield, A. J. (2007) · Nature Nanotechnology · doi:10.1038/nnano.2007.104 · Cited by 962 · see citing works
Path-ensemble averages in systems driven far from equilibrium
Crooks, G. E. (2000) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.61.2361 · Cited by 958 · see citing works
Toyabe, S., Sagawa, T., Ueda, M., Muneyuki, E., & Sano, M. (2010) · Nature Physics · doi:10.1038/nphys1821 · Cited by 957 · see citing works
Nonequilibrium Mechanics of Active Cytoskeletal Networks
Mizuno, D., Tardin, C., Schmidt, C. F., & MacKintosh, F. C. (2007) · Science · doi:10.1126/science.1134404 · Cited by 953 · see citing works
Calculating potentials of mean force from steered molecular dynamics simulations
Park, S., & Schulten, K. J. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1651473 · Cited by 945 · see citing works
Heat transport in low-dimensional systems
Dhar, A. (2008) · Advances In Physics · doi:10.1080/00018730802538522 · Cited by 944 · see citing works
Wang, G. M., Sevick, E. M., Mittag, E., Searles, D. J., & Evans, D. J. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.050601 · Cited by 939 · see citing works
Evans, D. J., & Searles, D. J. (2002) · Advances In Physics · doi:10.1080/00018730210155133 · Cited by 910 · see citing works
The Mechanics and Statistics of Active Matter
Ramaswamy, S. (2010) · NOT FOUND REPOSITORY (Indian Institute of Science Bangalore) · Cited by 900 · see citing works
Beyond Equilibrium Thermodynamics
Öttinger, H. C. (2005) · doi:10.1002/0471727903 · Cited by 896 · see citing works
Great expectations: can artificial molecular machines deliver on their promise?
Coşkun, A., Banaszak, M., Astumian, R. D., et al. (2011) · Chemical Society Reviews · doi:10.1039/c1cs15262a · Cited by 856 · see citing works
Finite Time Thermodynamic Optimization or Entropy Generation Minimization of Energy Systems
Chen, L., Wu, C., & Sun, F. (1999) · Journal of Non-Equilibrium Thermodynamics · doi:10.1515/jnetdy.1999.020 · Cited by 817 · see citing works
Free energy calculation from steered molecular dynamics simulations using Jarzynski’s equality
Park, S., Khalili‐Araghi, F., Tajkhorshid, E., & Schulten, K. J. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1590311 · Cited by 812 · see citing works
Equilibrium microstates which generate second law violating steady states
Evans, D. J., & Searles, D. J. (1994) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.50.1645 · Cited by 811 · see citing works
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current
Derrida, B. (2007) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2007/07/p07023 · Cited by 806 · see citing works
Steady-State Thermodynamics of Langevin Systems
Hatano, T., & Sasa, S. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.3463 · Cited by 804 · see citing works
Energy flow, partial equilibration, and effective temperatures in systems with slow dynamics
Cugliandolo, L. F., Jorge Kurchan, B., & Peliti, L. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.55.3898 · Cited by 803 · see citing works
Mechanical Processes in Biochemistry
Bustamante, C., Chemla, Y. R., Forde, N. R., & Izhaky, D. (2003) · Annual Review of Biochemistry · doi:10.1146/annurev.biochem.72.121801.161542 · Cited by 794 · see citing works
A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
Lebowitz, J. L., & Spohn, H. E. (1999) · Cited by 786 · see citing works
Astumian, R. D., & Peter Hänggi, A. (2002) · Physics Today · doi:10.1063/1.1535005 · Cited by 761 · see citing works
Fluctuation–dissipation: Response theory in statistical physics
MARCONI, U., Andrea Puglisi, B., RONDONI, L., & VULPIANI, A. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.02.002 · Cited by 751 · see citing works
Statistical Mechanics of Nonequilibrium Liquids
Evans, D. J., & Morriss, G. P. (2008) · Cambridge University Press eBooks · doi:10.1017/cbo9780511535307 · Cited by 724 · see citing works
Stochastic processes: Time evolution, symmetries and linear response
Hänggi, P., & Thomas, H. (1982) · Physics Reports · doi:10.1016/0370-1573(82)90045-x · Cited by 659 · see citing works
Non-equilibrium thermodynamics
(1962) · Journal of the Franklin Institute · doi:10.1016/0016-0032(62)90855-4 · Cited by 649 · see citing works
Gallavotti, G. (1999) · doi:10.1007/978-3-662-03952-6 · Cited by 647 · see citing works
Kardar, M. (2007) · Cambridge University Press eBooks · doi:10.1017/cbo9780511815881 · Cited by 646 · see citing works
Langevin Equation and Thermodynamics
Sekimoto, K. (1998) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.130.17 · Cited by 637 · see citing works
Good Practices in Free-Energy Calculations
Pohorille, A., Jarzynski, C., & Chipot, C. J. (2010) · The Journal of Physical Chemistry B · doi:10.1021/jp102971x · Cited by 635 · see citing works
The Nonequilibrium Thermodynamics of Small Systems
Bustamante, C., Liphardt, J., & Ritort, F. (2005) · Physics Today · doi:10.1063/1.2012462 · Cited by 629 · see citing works
Colloquium : The physics of Maxwell’s demon and information
Maruyama, K., Nori, F., & Vedral, V. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1 · Cited by 612 · see citing works
Motor Proteins at Work for Nanotechnology
van den Heuvel, M. G. L., & Dekker, C. (2007) · Science · doi:10.1126/science.1139570 · Cited by 562 · see citing works
Molecular Motors: A Theorist's Perspective
Kolomeisky, A. B., & Fisher, M. E. (2006) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.58.032806.104532 · Cited by 561 · see citing works
Thermodynamic Efficiency at Maximum Power
den Broeck, C. V. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.190602 · Cited by 555 · see citing works
Efficiency at maximum power: An analytically solvable model for stochastic heat engines
Schmiedl, T., & Seifert, U. (2007) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/81/20003 · Cited by 552 · see citing works
Self-citationEfficiency at Maximum Power of Low-Dissipation Carnot Engines
Esposito, M., Kawai, R., Lindenberg, K., & den Broeck, C. V. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.150603 · Cited by 546 · see citing works
Generalized Jarzynski Equality under Nonequilibrium Feedback Control
Sagawa, T., & Ueda, M. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.090602 · Cited by 522 · see citing works
Realization of a micrometre-sized stochastic heat engine
Blickle, V., & Bechinger, C. (2011) · Nature Physics · doi:10.1038/nphys2163 · Cited by 518 · see citing works
Light powered molecular machines
Balzani, V., Credi, A., & Venturi, M. (2009) · Chemical Society Reviews · doi:10.1039/b806328c · Cited by 515 · see citing works
Dissipation: The Phase-Space Perspective
Kawai, R., Parrondo, J. M. R., & den Broeck, C. V. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.080602 · Cited by 511 · see citing works
Peter Hänggi, A., Marchesoni, F., & Nori, F. (2005) · Annalen der Physik · doi:10.1002/andp.200410121 · Cited by 509 · see citing works
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport
Chou, T., Mallick, K., & Zia, R. K. P. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/11/116601 · Cited by 505 · see citing works
Stochastic thermodynamics: principles and perspectives
Seifert, U. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00001-9 · Cited by 497 · see citing works
Self-citationHeat transport in low-dimensional systemsPreprint
Dhar, A. (2013) · Cited by 482 · see citing works
Fluctuations and Irreversible Process. II. Systems with Kinetic Energy
Machlup, S., & Onsager, L. (1953) · Physical Review · doi:10.1103/physrev.91.1512 · Cited by 475 · see citing works
Current Trends in Finite‐Time Thermodynamics
Andresen, B. (2011) · Angewandte Chemie International Edition · doi:10.1002/anie.201001411 · Cited by 466 · see citing works
Giant Acceleration of Free Diffusion by Use of Tilted Periodic Potentials
Reimann, P., den Broeck, C. V., Linke, H., Peter Hänggi, A., Rubı́, J. M., & Pérez-Madrid, A. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.010602 · Cited by 464 · see citing works
Free Energy Transduction and Biochemical Cycle Kinetics
Hill, T. L. (1989) · Springer eBooks · doi:10.1007/978-1-4612-3558-3 · Cited by 461 · see citing works
The Nonequilibrium thermodynamics of small systems
Bustamante, C., Liphardt, J., & Ritort Farran, F. (2005) · RECERCAT (Consorci de Serveis Universitaris de Catalunya) · Cited by 459 · see citing works
Kinetic Characterization of Heat Bath and the Energetics of Thermal Ratchet Models
Sekimoto, K. (1997) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.66.1234 · Cited by 454 · see citing works
The energy–speed–accuracy trade-off in sensory adaptation
Lan, G., Sartori, P., Neumann, S., Sourjik, V., & Tu, Y. (2012) · Nature Physics · doi:10.1038/nphys2276 · Cited by 452 · see citing works
Fluctuation-Dissipation: Response Theory in Statistical PhysicsPreprint
Marini, U., Marconi, B., Andrea Puglisi, B., Rondoni, L., & Angelo Vulpiani, D. (2013) · Cited by 429 · see citing works
Thermophoresis in colloidal suspensions
Piazza, R., & Parola, A. (2008) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/20/15/153102 · Cited by 424 · see citing works
Single-molecule techniques : a laboratory manual
Selvin, P. R., & Ha, T. (2008) · Cited by 417 · see citing works
Universality of Efficiency at Maximum Power
Esposito, M., Lindenberg, K., & den Broeck, C. V. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.130602 · Cited by 416 · see citing works
Oono, Y., & Paniconi, M. (1998) · Progress of Theoretical Physics Supplement · doi:10.1143/ptps.130.29 · Cited by 410 · see citing works
Degree of coupling and its relation to efficiency of energy conversion
Kedem, O., & Caplan, S. R. (1965) · Transactions of the Faraday Society · doi:10.1039/tf9656101897 · Cited by 407 · see citing works
Three Detailed Fluctuation Theorems
Esposito, M., & den Broeck, C. V. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.090601 · Cited by 406 · see citing works
Optimal Finite-Time Processes In Stochastic Thermodynamics
Schmiedl, T., & Seifert, U. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.108301 · Cited by 401 · see citing works
Self-citationStochastic thermodynamics under coarse graining
Esposito, M. (2012) · Physical Review E · doi:10.1103/physreve.85.041125 · Cited by 397 · see citing works
Resonances arising from hydrodynamic memory in Brownian motion
Franosch, T., Grimm, M., Belushkin, M., Mor, F. M., Foffi, G., Laszlo Forro, C., & Jeney, S. (2011) · Nature · doi:10.1038/nature10498 · Cited by 393 · see citing works
Second law and Landauer principle far from equilibrium
Esposito, M., & den Broeck, C. V. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/95/40004 · Cited by 385 · see citing works
Fluctuation theorems for stochastic dynamics
Harris, R. J., & Schütz, G. M. (2007) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2007/07/p07020 · Cited by 384 · see citing works
Single-molecule experiments in biological physics: methods and applications
Ritort, F. (2006) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/18/32/r01 · Cited by 384 · see citing works
Crisanti, A., & Ritort, F. (2003) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/36/21/201 · Cited by 375 · see citing works
Fluctuations and Response of Nonequilibrium States
Baiesi, M., Maes, C., & Wynants, B. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.010602 · Cited by 352 · see citing works
Reversible Thermoelectric Nanomaterials
Humphrey, T. E., & Linke, H. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.096601 · Cited by 344 · see citing works
Reversible Quantum Brownian Heat Engines for Electrons
Humphrey, T. E., Newbury, R., Taylor, R. P., et al. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.116801 · Cited by 343 · see citing works
Equality Connecting Energy Dissipation with a Violation of the Fluctuation-Response Relation
Harada, T., & Sasa, S. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.130602 · Cited by 342 · see citing works
Extended Irreversible Thermodynamics
Jou, D., Casas-Vázquez, J., & Lebon, G. (2001) · Springer eBooks · doi:10.1007/978-3-642-56565-6 · Cited by 341 · see citing works
Three faces of the second law. I. Master equation formulation
Esposito, M., & den Broeck, C. V. (2010) · Physical Review E · doi:10.1103/physreve.82.011143 · Cited by 339 · see citing works
Thermodynamics of a Colloidal Particle in a Time-Dependent Nonharmonic Potential
Blickle, V., Speck, T., Helden, L., Seifert, U., & Bechinger, C. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.070603 · Cited by 337 · see citing works
Self-citationBias and error in estimates of equilibrium free-energy differences from nonequilibrium measurements
Gore, J., Ritort, F., & Bustamante, C. (2003) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1635159100 · Cited by 329 · see citing works
Thermoelectric efficiency at maximum power in a quantum dot
Esposito, M., Lindenberg, K., & den Broeck, C. V. (2009) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/85/60010 · Cited by 327 · see citing works
Rare events and the convergence of exponentially averaged work values
Jarzynski, C. (2006) · Physical Review E · doi:10.1103/physreve.73.046105 · Cited by 326 · see citing works
ATP-dependent mechanics of red blood cells
Betz, T., Lenz, M., Joanny, J., et al. (2009) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0904614106 · Cited by 326 · see citing works
The force exerted by a molecular motor
Fisher, M. E., & Kolomeisky, A. B. (1999) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.96.12.6597 · Cited by 312 · see citing works
Single-molecule biophysics: at the interface of biology, physics and chemistry
Deniz, A. A., Mukhopadhyay, S., & Lemke, E. A. (2007) · Journal of The Royal Society Interface · doi:10.1098/rsif.2007.1021 · Cited by 308 · see citing works
Maes, C., & Netočný, K. (2003) · Journal of Statistical Physics · doi:10.1023/a:1021026930129 · Cited by 308 · see citing works
The Physics of Molecular Motors
Bustamante, C., Keller, D. L., & OSTER, G. F. (2001) · Accounts of Chemical Research · doi:10.1021/ar0001719 · Cited by 305 · see citing works
Carberry, D. M., Reid, J. C., Wang, G. M., Sevick, E. M., Searles, D. J., & Evans, D. J. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.140601 · Cited by 302 · see citing works
Work and information processing in a solvable model of Maxwell’s demon
Mandal, D., & Jarzynski, C. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1204263109 · Cited by 302 · see citing works
Transport as a consequence of state-dependent diffusion
B�ttiker, M. (1987) · The European Physical Journal B · doi:10.1007/bf01304221 · Cited by 297 · see citing works
Cugliandolo, L. F. (2011) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/44/48/483001 · Cited by 297 · see citing works
Nonequilibrium work theorem for a system strongly coupled to a thermal environment
Jarzynski, C. (2004) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2004/09/p09005 · Cited by 294 · see citing works
Optimal energy quanta to current conversion
Sánchez, R., & Büttiker, Μ. (2011) · Physical Review B · doi:10.1103/physrevb.83.085428 · Cited by 294 · see citing works
Diffusion in tilted periodic potentials: Enhancement, universality, and scaling
Reimann, P., den Broeck, C. V., Linke, H., Peter Hänggi, A., Rubı́, J. M., & Pérez-Madrid, A. (2002) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.65.031104 · Cited by 283 · see citing works
Extension of the Fluctuation Theorem
van Zon, R., & Cohen, E. G. D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.110601 · Cited by 282 · see citing works
Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
Berthier, L., & Barrat, J. (2002) · The Journal of Chemical Physics · doi:10.1063/1.1460862 · Cited by 277 · see citing works
Thermophoretic depletion follows Boltzmann distribution
Duhr, S., & Braun, D. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.168301 · Cited by 273 · see citing works
Sevick, E. M., Prabhakar, R., Williams, S. R., & Searles, D. J. (2008) · Annual Review of Physical Chemistry · doi:10.1146/annurev.physchem.58.032806.104555 · Cited by 271 · see citing works
Generalized Fluctuation-Dissipation Theorem for Steady-State Systems
Prost, J., Joanny, J., & Parrondo, J. M. R. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.090601 · Cited by 269 · see citing works
Nonequilibrium thermodynamics of feedback control
Sagawa, T., & Ueda, M. (2012) · Physical Review E · doi:10.1103/physreve.85.021104 · Cited by 269 · see citing works
Parmeggiani, A., Jülicher, F., Ajdari, A., & Prost, J. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.2127 · Cited by 268 · see citing works
Martin, P., Hudspeth, A. J., & Jülicher, F. (2001) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.251530598 · Cited by 261 · see citing works
Oberhofer, H., Christoph Dellago, A., & Geissler, P. L. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp044556a · Cited by 259 · see citing works
Fluctuation-dissipation theorem in nonequilibrium steady states
Seifert, U., & Speck, T. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/89/10007 · Cited by 257 · see citing works
Self-citationNonequilibrium fluctuations in a resistor
Garnier, N., & Ciliberto, S. (2005) · Physical Review E · doi:10.1103/physreve.71.060101 · Cited by 257 · see citing works
Nonlinear fluctuation-dissipation relations and stochastic models in nonequilibrium thermodynamics
Бочков, Г. Н., & Kuzovlev, Y. E. (1981) · Physica A Statistical Mechanics and its Applications · doi:10.1016/0378-4371(81)90122-9 · Cited by 254 · see citing works
Experimental test of Hatano and Sasa's nonequilibrium steady-state equality
Trepagnier, E. H., Jarzynski, C., Ritort, F., et al. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0406405101 · Cited by 253 · see citing works
Energetics of Brownian motors: a review
Parrondo, J. M. R., & de Cisneros, B. J. (2002) · Applied Physics A · doi:10.1007/s003390201332 · Cited by 253 · see citing works
Fluctuation theorem for nonequilibrium reactions
Gaspard, P. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1688758 · Cited by 248 · see citing works
Thermodynamic Bounds on Efficiency for Systems with Broken Time-Reversal Symmetry
Benenti, G., Saito, K., & Casati, G. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.230602 · Cited by 247 · see citing works
Quantum-dot Carnot engine at maximum power
Esposito, M., Kawai, R., Lindenberg, K., et al. (2010) · Physical Review E · doi:10.1103/physreve.81.041106 · Cited by 246 · see citing works
Estimating Dissipation from Single Stationary Trajectories
Roldán, É., & Parrondo, J. M. R. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.150607 · Cited by 244 · see citing works
Biomolecules under mechanical force
Kumar, S., & Li, M. S. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.11.001 · Cited by 240 · see citing works
Free Energy Surfaces from Single-Molecule Force Spectroscopy
Hummer, G., & Szabó, A. (2005) · Accounts of Chemical Research · doi:10.1021/ar040148d · Cited by 240 · see citing works
Чайчиан, М., & Demichev, A. P. (2001) · CRC Press eBooks · doi:10.1201/9781315273358 · Cited by 239 · see citing works
The folding cooperativity of a protein is controlled by its chain topology
Shank, E. A., Cecconi, C., Dill, J. W., Marqusee, S., & Bustamante, C. (2010) · Nature · doi:10.1038/nature09021 · Cited by 239 · see citing works
Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
Speck, T., & Seifert, U. (2006) · Europhysics Letters (EPL) · doi:10.1209/epl/i2005-10549-4 · Cited by 238 · see citing works
Self-citationLandauer, R. W. (1988) · Journal of Statistical Physics · doi:10.1007/bf01011555 · Cited by 237 · see citing works
The Mesoscopic Dynamics of Thermodynamic Systems
Reguera, D., Rubı́, J. M., & Vilar, J. M. G. (2005) · The Journal of Physical Chemistry B · doi:10.1021/jp052904i · Cited by 236 · see citing works
Three faces of the second law. II. Fokker-Planck formulation
den Broeck, C. V., & Esposito, M. (2010) · Physical Review E · doi:10.1103/physreve.82.011144 · Cited by 236 · see citing works
Fast-growth thermodynamic integration: Error and efficiency analysis
Hummer, G. (2001) · The Journal of Chemical Physics · doi:10.1063/1.1363668 · Cited by 235 · see citing works
Optimal Protocols and Optimal Transport in Stochastic Thermodynamics
Aurell, E. M., Mejía-Monasterio, C., & Muratore-Ginanneschi, P. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.250601 · Cited by 235 · see citing works
Qian, H. (2006) · The Journal of Physical Chemistry B · doi:10.1021/jp061858z · Cited by 233 · see citing works
Ge, H., & Qian, H. (2010) · Physical Review E · doi:10.1103/physreve.81.051133 · Cited by 231 · see citing works
Entropy production and the arrow of time
Parrondo, J. M. R., den Broeck, C. V., & Kawai, R. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073008 · Cited by 231 · see citing works
Nonequilibrium detailed fluctuation theorem for repeated discrete feedback
Horowitz, J. M., & Vaikuntanathan, S. (2010) · Physical Review E · doi:10.1103/physreve.82.061120 · Cited by 228 · see citing works
Stationary and transient work-fluctuation theorems for a dragged Brownian particle
van Zon, R., & Cohen, E. G. D. (2003) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.67.046102 · Cited by 227 · see citing works
Path integral formulation of general diffusion processes
Graham, R. (1977) · The European Physical Journal B · doi:10.1007/bf01312935 · Cited by 222 · see citing works
Fluctuation Theorem for Currents and Schnakenberg Network Theory
Andrieux, D., & Gaspard, P. (2007) · Journal of Statistical Physics · doi:10.1007/s10955-006-9233-5 · Cited by 219 · see citing works
Stochastic Resonance: From Suprathreshold Stochastic Resonance to Stochastic Signal Quantization
McDonnell, M. D., Stocks, N. G., Pearce, C. E. M., & Abbott, D. (2009) · Adelaide Research & Scholarship (AR&S) (University of Adelaide) · doi:10.1017/cbo9780511535239 · Cited by 212 · see citing works
Brownian motion: a paradigm of soft matter and biological physics
Frey, E., & Kroy, K. (2005) · Annalen der Physik · doi:10.1002/andp.200410132 · Cited by 212 · see citing works
An experimental test of the Jarzynski equality in a mechanical experiment
Douarche, F., Ciliberto, S., Petrossian, A., et al. (2005) · Europhysics Letters (EPL) · doi:10.1209/epl/i2005-10024-4 · Cited by 212 · see citing works
Reviews of Nonlinear Dynamics and Complexity
(2008) · Wiley eBooks · doi:10.1002/9783527626359 · Cited by 210 · see citing works
Full distance-resolved folding energy landscape of one single protein molecule
Gebhardt, J., Bornschlögl, T., & Rief, M. (2010) · Proceedings of the National Academy of Sciences of the United States of America · doi:10.1073/pnas.0909854107 · Cited by 209 · see citing works
Path-integral analysis of fluctuation theorems for general Langevin processes
Chernyak, V., Chertkov, M., & Jarzynski, C. (2006) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2006/08/p08001 · Cited by 209 · see citing works
Effective temperature of active matter
Loi, D., Mossa, S., & Cugliandolo, L. F. (2008) · Physical Review E · doi:10.1103/physreve.77.051111 · Cited by 207 · see citing works
Criticism of Feynman’s analysis of the ratchet as an engine
Parrondo, J. M. R., & Español, P. (1996) · American Journal of Physics · doi:10.1119/1.18393 · Cited by 205 · see citing works
Covariant formulation of non-equilibrium statistical thermodynamics
Graham, R. (1977) · The European Physical Journal B · doi:10.1007/bf01570750 · Cited by 204 · see citing works
Kinesin’s Network of Chemomechanical Motor Cycles
Liepelt, S., & Lipowsky, R. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.258102 · Cited by 203 · cited 4× · see citing works
“an individual trajectory has been discussed for single enzymes in [84, 208, 417], for molecular motors in [400, 404, 405, 406, 407, 408, 409], and for small biochemical reaction networks in [228, 418, 419].”
BackgroundInfluentialDetecting a small perturbation through its non-Gaussianity
Lotfi Boubekeur, A., & Lyth, D. H. (2006) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.73.021301 · Cited by 202 · see citing works
Harris, N. C., Song, Y., & Kiang, C. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.068101 · Cited by 202 · see citing works
Information-theoretic approach to the study of control systems
Touchette, H., & Lloyd, S. (2003) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2003.09.007 · Cited by 202 · see citing works
Rings, D., Schachoff, R., Selmke, M., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.090604 · Cited by 202 · see citing works
Statistical Mechanics, A Short Treatise
Enter, V. A. (2000) · European Journal of Mechanics - B/Fluids · Cited by 200 · see citing works
Nonequilibrium work relations: foundations and applications
Jarzynski, C. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00254-2 · Cited by 200 · see citing works
Fluctuation theorems for stochastic dynamics
Harris, R. J., & Schütz, G. M. (2007) · JuSER (Forschungszentrum Jülich) · Cited by 200 · see citing works
Saito, K., & Utsumi, Y. (2008) · Physical Review B · doi:10.1103/physrevb.78.115429 · Cited by 198 · see citing works
Magnasco, M. O. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.2656 · Cited by 196 · see citing works
Comparison of far-from-equilibrium work relations
Jarzynski, C. (2007) · Comptes Rendus Physique · doi:10.1016/j.crhy.2007.04.010 · Cited by 195 · see citing works
Stochastic thermodynamics of chemical reaction networks
Schmiedl, T., & Seifert, U. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2428297 · Cited by 190 · see citing works
Self-citationFluctuation theorem and Onsager reciprocity relations
Andrieux, D., & Gaspard, P. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1782391 · Cited by 190 · see citing works
Integral fluctuation theorem for the housekeeping heat
Speck, T., & Seifert, U. (2005) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/38/34/l03 · Cited by 189 · see citing works
Self-citationExtracting work from a single heat bath through feedback
Abreu, D., & Seifert, U. (2011) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/94/10001 · Cited by 189 · see citing works
Self-citationFitness flux and ubiquity of adaptive evolution
Mustonen, V., & Lässig, M. (2010) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0907953107 · Cited by 188 · see citing works
Principles of control thermodynamics
Salamon, P., Nulton, J., Siragusa, G., et al. (2001) · Energy · doi:10.1016/s0360-5442(00)00059-1 · Cited by 186 · see citing works
Information-Theoretic Limits of Control
Touchette, H., & Lloyd, S. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.1156 · Cited by 185 · see citing works
Nonequilibrium Energetics of a Single F1 -ATPase Molecule
Toyabe, S., Okamoto, T., Watanabe‐Nakayama, T., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.198103 · Cited by 183 · see citing works
Nonequilibrium generation of information in copolymerization processes
Andrieux, D., & Gaspard, P. (2008) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0802049105 · Cited by 182 · see citing works
Refined Second Law of Thermodynamics for Fast Random Processes
Aurell, E. M., Gawędzki, K., Mejía-Monasterio, C., Mohayaee, R., & Muratore-Ginanneschi, P. (2012) · Journal of Statistical Physics · doi:10.1007/s10955-012-0478-x · Cited by 180 · see citing works
Off equilibrium dynamics and aging in unfrustrated systems
Cugliandolo, L. F., Jorge Kurchan, B., & Parisi, G. (1994) · Journal de Physique I · doi:10.1051/jp1:1994212 · Cited by 180 · see citing works
Einstein Relation Generalized to Nonequilibrium
Blickle, V., Speck, T., Lutz, C., et al. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.210601 · Cited by 177 · see citing works
Optimal Process Paths for Endoreversible Systems
Hoffmann, K. H., Burzler, J. M., Fischer, A. M., et al. (2003) · Journal of Non-Equilibrium Thermodynamics · doi:10.1515/jnetdy.2003.015 · Cited by 177 · see citing works
Fluctuation Theorem Applied to F1 -ATPase
Hayashi, K., Ueno, H., Iino, R., et al. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.218103 · Cited by 177 · see citing works
Thermodynamic efficiency and mechanochemical coupling of F 1 -ATPase
Toyabe, S., Watanabe‐Nakayama, T., Okamoto, T., Kudo, S., & Muneyuki, E. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1106787108 · Cited by 176 · see citing works
Stability criteria and fluctuations around nonequilibrium states
Jiu-li, L., den Broeck, C. V., & Nìcolis, G. (1984) · Zeitschrift für Physik B Condensed Matter · doi:10.1007/bf01469698 · Cited by 173 · see citing works
Sasa, S., & Tasaki, H. (2006) · Journal of Statistical Physics · doi:10.1007/s10955-005-9021-7 · Cited by 172 · see citing works
Flagged first, then by citations
Research works printed but not linked: 6
- W Ebeling and H Ulbricht (Berlin: Springer) pp 57-61
- Merhav N and Kafri Y 2010 Statistical properties of entropy production derived from fluctuation theorems J. Stat. Mech. P12022 · DOI
- Muratore-Ginanneschi P, Mejía-Monasterio C and Peliti L 2012 Heat release by controlled continuous-time Markov jump processes arXiv:1203.4062 · arXiv
- Munakata T and Rosinberg M L 2012 Entropy production and fluctuation theorems under feedback control: the molecular refrigerator model revisited J. Stat. Mech. P05010 · DOI
- Gomez-Solano J R, Petrosyan A, Ciliberto S and Maes C 2011 Fluctuations and response in a non-equilibrium micron-sized system J. Stat. Mech. P01008 · DOI
- Schliwa M 2003 Molecular Motors (Weinheim: Wiley-VCH)
Cited by
Sorted by citations
Wei, G., Xi, W., Nussinov, R., & Ma, B. (2016) · Chemical Reviews · doi:10.1021/acs.chemrev.5b00562 · Cited by 436 · see citing works
High-precision test of Landauer’s principle in a feedback trap
Jun, Y., Gavrilov, M., & Bechhoefer, J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.190601 · Cited by 428 · see citing works
Answering Schrödinger's question: A free-energy formulation
Ramstead, M. J. D., Badcock, P. B., & Friston, K. J. (2018) · Physics of Life Reviews · doi:10.1016/j.plrev.2017.09.001 · Cited by 354 · see citing works
Knowing one's place: a free-energy approach to pattern regulation
Friston, K., Levin, M., Sengupta, B., & Pezzulo, G. (2015) · Journal of The Royal Society Interface · doi:10.1098/rsif.2014.1383 · Cited by 234 · see citing works
Am i self-conscious? (or does self-organization entail self-consciousness?)
Friston, K. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.00579 · Cited by 197 · see citing works
Sentience and the Origins of Consciousness: From Cartesian Duality to Markovian Monism
Friston, K. J., Wiese, W., & Hobson, J. A. (2020) · Entropy · doi:10.3390/e22050516 · Cited by 186 · see citing works
The free energy principle made simpler but not too simple
Friston, K., Da Costa, L., Sajid, N., Heins, C., Ueltzhöffer, K., Pavliotis, G. A., & Parr, T. (2023) · Physics Reports · doi:10.1016/j.physrep.2023.07.001 · Cited by 163 · see citing works
“We could focus on systems that comprise statistical ensembles of similar states to derive stochastic and statistical mechanics in terms of fluctuation theorems [10].”
InfluentialMarkov blankets, information geometry and stochastic thermodynamics
Parr, T., Da Costa, L., & Friston, K. (2020) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2019.0159 · Cited by 141 · see citing works
Thermodynamic universality of quantum Carnot engines
Gardas, B., & Deffner, S. (2015) · Physical Review E · doi:10.1103/physreve.92.042126 · Cited by 139 · see citing works
Peterson, J. P. S., Sarthour, R. S., Souza, A. M., Oliveira, I. S., Goold, J., Modi, K., Soares-Pinto, D. O., & Céleri, L. C. (2016) · Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.2015.0813 · Cited by 132 · see citing works
On markov blankets and hierarchical self-organisation
Palacios, E. R., Razi, A., Parr, T., Kirchhoff, M., & Friston, K. (2020) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2019.110089 · Cited by 115 · see citing works
Green Rust: The Simple Organizing ‘Seed’ of All Life?
Russell, M. J. (2018) · Life · doi:10.3390/life8030035 · Cited by 101 · see citing works
Escapement mechanisms and the conversion of disequilibria; the engines of creation
Branscomb, E., Biancalani, T., Goldenfeld, N., & Russell, M. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.02.001 · Cited by 96 · see citing works
The thermodynamic efficiency of computations made in cells across the range of life
Kempes, C. P., Wolpert, D., Cohen, Z., & Pérez-Mercader, J. (2017) · Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rsta.2016.0343 · Cited by 68 · see citing works
A Multi-scale View of the Emergent Complexity of Life: A Free-Energy Proposal
Hesp, C., Ramstead, M., Constant, A., Badcock, P., Kirchhoff, M., & Friston, K. (2019) · Springer Proceedings in Complexity · doi:10.1007/978-3-030-00075-2_7 · Cited by 63 · see citing works
Degeneracy and Redundancy in Active Inference
Sajid, N., Parr, T., Hope, T. M., Price, C. J., & Friston, K. J. (2020) · Cerebral Cortex · doi:10.1093/cercor/bhaa148 · Cited by 49 · see citing works
On the beneficent thickness of water
Branscomb, E., & Russell, M. J. (2019) · Interface Focus · doi:10.1098/rsfs.2019.0061 · Cited by 27 · see citing works
Summing over trajectories of stochastic dynamics with multiplicative noise
Tang, Y., Yuan, R., & Ao, P. (2014) · The Journal of Chemical Physics · doi:10.1063/1.4890968 · Cited by 30 · see citing works
Wiese, W., & Friston, K. J. (2021) · Philosophy and the Mind Sciences · doi:10.33735/phimisci.2021.81 · Cited by 27 · see citing works
The entropy production of stationary diffusions
Da Costa, L., & Pavliotis, G. A. (2023) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/acdf98 · Cited by 9 · see citing works
The Informational Substrate of Chemical Evolution: Implications for Abiogenesis
de la Escosura, A. (2019) · Life · doi:10.3390/life9030066 · Cited by 9 · see citing works
- Authors
- Seifert, U.
- Affiliations
- University of Stuttgart (DE)
- Corresponding author
- Seifert, Udo
- ORCID
- Seifert, Udo
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2012-11-20
- Volume
- 75
- Issue
- 12
- Pages
- 126001
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2102277728
- Cited by
- 3,300
- References
- 707
- Citations by year
- 2026: 258 · 2025: 302 · 2024: 267 · 2023: 260 · 2022: 274 · 2021: 310 · 2020: 290 · 2019: 261 · 2018: 225 · 2017: 192 · 2016: 210 · 2015: 192 · 2014: 145 · 2013: 85 · 2012: 27
- FWCI
- 5.66
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Reports on Progress in Physics (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Deutsche Forschungsgemeinschaft
- European Social Fund
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Thermodynamic Systems and Engines
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › stochastic dynamics and bifurcation
- Keywords
- stochastic thermodynamics, fluctuation theorems, molecular machines, non-equilibrium thermodynamics, entropy production, heat and work, detailed balance, master equation, Langevin equation, nonequilibrium steady states, fluctuation-dissipation theorem, measurement-based feedback, efficiency at maximum power, molecular motors, heat engines, thermoelectric devices, single-electron transport, single-molecule assay, biochemical reaction networks
- MeSH terms
- Feedback, Hot Temperature, Models, Theoretical, Stochastic Processes, Thermodynamics, Molecular Motor Proteins
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
