CoChat
Sign Up
Cited by 3,300Advanced Thermodynamics and Statistical MechanicsAdvanced Thermodynamic Systems and Enginesstochastic dynamics and bifurcation

The DOI matches its Crossref record; 707 of the 707 references it cites were found in a registry or an index.

Stochastic thermodynamics, fluctuation theorems and molecular machines

Open access
Seifert, Udo·2012·Reports on Progress in Physics
DOI 10.1088/0034-4885/75/12/126001
Open this paper in CoChat — free accountOpen PDF

Abstract

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.

Overview

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.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1088/0034-4885/75/12/126001

Cites

707 of 707 references verified0 citation errors · 0 not checkable

Statistics

Verification

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.

A few free checks a day · papers already verified open instantly · results are public

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?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Items 201–400 of 707

Research works printed but not linked: 27

  1. Bochkov G N, 1977, Sov. Phys.—JETP, 45, 125
  2. Bochkov G N, 1979, Sov. Phys.—JETP, 49, 543
  3. Maes C, 2003, Sém. Poincaré, 2, 29
  4. van den Broeck C Ebeling W Ulbricht H, 1985, Selforganization by Nonlinear Irreversible Processes Proc. 3rd Int. Conf., 57
  5. Merhav N, 2010, J. Stat. Mech., 2010
  6. Cohen E G D, 2004, J. Stat. Mech., 2004
  7. Chatterjee D, 2011, J. Stat. Mech., 2011
  8. Jimenez-Aquino J I, 2010, J. Phys. A: Math. Theor., 43
  9. Jimenez-Aquino J I, 2011, J. Phys. A: Math. Theor., 44
  10. Cohen E G D, 2008, J. Stat. Mech., 2008
  11. Zia R K P, 2007, J. Stat. Mech., 2007
  12. Monthus C, 2011, J. Stat. Mech., 2011
  13. Liu F, 2009, J. Phys. A: Math. Theor., 42
  14. Barato A C, 2012, J. Phys. A: Math. Theor., 45
  15. Cover T M, 2006, Telecommunications and Signal Processing
  16. Parrondo J M R, 2009, New J. Phys., 11
  17. Crooks G E, 2011, J. Stat. Mech., 2011
  18. Lahiri S, 2012, J. Phys. A: Math. Theor., 45
  19. Bauer M, 2012, J. Phys. A: Math. Theor., 45
  20. Munakata T, 2012, J. Stat. Mech.
  21. Gomez-Solano J R, 2011, J. Stat. Mech., 2011
  22. Schliwa M, 2003, Molecular Motors
  23. Lacoste D, 2010, Biological Physics. Poincaré Seminar 2009
  24. Ge H, 2012, J. Phys. A: Math. Theor., 45
  25. Zimmermann E, 2012, New J. Phys., 14
  26. Novikov I I, 1958, J. Nucl. Energy II, 7, 125
  27. Tu Z C, 2008, J. Phys. A: Math. Theor., 41

Cited by

Sorted by citations

See all 3,300

Related

See all

Metadata

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
DOI
10.1088/0034-4885/75/12/126001
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
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