The Theory of Critical Phenomena: An Introduction to the Renormalization Group

Universality and criticality of a second-order granular solid-liquid-like phase transition

Castillo, G., Mujica, N., & Soto, R. (2015) · Physical Review E · doi:10.1103/physreve.91.012141 · Cited by 27

Mitigating Complexity: Cohesion Parameters and Related Topics. I: The Hildebrand Solubility Parameter

Wilhelm, E. (2018) · Journal of Solution Chemistry · doi:10.1007/s10953-018-0821-1 · Cited by 27

Emergence in Solid State Physics and Biology

Ellis, G. F. R. (2020) · Foundations of Physics · doi:10.1007/s10701-020-00367-z · Cited by 30

Repulsive Casimir forces at quantum criticality

Jakubczyk, P., Napiórkowski, M., & Sęk, T. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/113/30006 · Cited by 27

Effective field theory approach to Casimir interactions on soft matter surfaces

Yolcu, C., Rothstein, I. Z., & Deserno, M. (2011) · KiltHub Repository · doi:10.1184/r1/6506660.v1 · Cited by 27

Block Monotone Iterations for Numerical Solutions of Fourth-Order Nonlinear Elliptic Boundary Value Problems

Pao, C. V., & Lü, X. (2003) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827502409912 · Cited by 27

Composite operators, operator expansion, and Galilean invariance in the theory of fully developed turbulence. Infrared corrections to Kolmogorov scaling

Adzhemyan, L. T., Antonov, N. V., & Kim, T. L. (1994) · Theoretical and Mathematical Physics · doi:10.1007/bf01018574 · Cited by 27

Two coupled Ising planes: Phase diagram and interplanar force

Hansen, P. L., Lemmich, J., Ipsen, J. H., et al. (1993) · Journal of Statistical Physics · doi:10.1007/bf01054347 · Cited by 27

Renormalization Group: Applications in Statistical Physics

Täuber, U. C. (2012) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/j.nuclphysbps.2012.06.002 · Cited by 28

Trajectory phase transitions in noninteracting spin systems

Vasiloiu, L. M., Oakes, T., Carollo, F., & Garrahan, J. P. (2020) · Physical review. E · doi:10.1103/physreve.101.042115 · Cited by 32

Self-organized bistability on globally coupled higher-order networks

Anwar, M. S., Frolov, N. S., Hramov, A. E., & Ghosh, D. (2024) · Physical review. E · doi:10.1103/physreve.109.014225 · Cited by 27

Coevolution of Glauber-like Ising dynamics and topology

Mandrà, S., Fortunato, S., & Castellano, C. (2009) · Physical Review E · doi:10.1103/physreve.80.056105 · Cited by 27

The imperfect Bose gas inddimensions: critical behavior and Casimir forces

Napiórkowski, M., Jakubczyk, P., & Nowak, K. (2013) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2013/06/p06015 · Cited by 26

Power-law scaling of spatially correlated porosity and log(permeability) sequences from north-central North Sea Brae oilfield well core

Leary, P., & Al-Kindy, F. (2002) · Geophysical Journal International · doi:10.1046/j.1365-246x.2002.01618.x · Cited by 26

Nonconservative sandpile models

Ghaffari, P., Lise, S., & Jensen, H. J. (1997) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.56.6702 · Cited by 26

On Polymer Brushes and Blobology: an Introduction

Halperin, A. (1994) · NATO ASI series. Series B : Physics · doi:10.1007/978-1-4615-2458-8_3 · Cited by 26

Theory of continuum percolation. I. General formalism

Drory, A. (1996) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.54.5992 · Cited by 26

A phenomenological approach to the simulation of metabolism and proliferation dynamics of large tumour cell populations

Chignola, R., & Milotti, E. (2005) · CERN Document Server (European Organization for Nuclear Research) · Cited by 26

Fractures and Physical Heterogeneity in Crustal Rock

Leary, P. C. (2003) · Springer eBooks · doi:10.1007/978-1-4615-0103-9_6 · Cited by 26

On principles of emergent organization

Rupe, A., & Crutchfield, J. P. (2024) · Physics Reports · doi:10.1016/j.physrep.2024.04.001 · Cited by 33

History of the Lenz–Ising model 1965–1971: the role of a simple model in understanding critical phenomena

Niss, M. (2011) · Archive for History of Exact Sciences · doi:10.1007/s00407-011-0086-1 · Cited by 25

Large deviations in the presence of cooperativity and slow dynamics

Whitelam, S. (2018) · Physical review. E · doi:10.1103/physreve.97.062109 · Cited by 25

Multicritical phenomena for the hydrogen molecule at the large-dimension limit

Serra, P., & Kais, S. (1996) · Chemical Physics Letters · doi:10.1016/0009-2614(96)00871-8 · Cited by 25

Stem cell decision making and critical-like exploratory networks

Halley, J. D., Burden, F. R., & Winkler, D. A. (2009) · Stem Cell Research · doi:10.1016/j.scr.2009.03.001 · Cited by 23

Small-world effects in wireless agent sensor networks

Hawick, K. A., & James, H. A. (2010) · International Journal of Wireless and Mobile Computing · doi:10.1504/ijwmc.2010.034213 · Cited by 25

Geological Modelling and Reservoir Simulation

Farmer, C. L. (2005) · Mathematics in industry · doi:10.1007/3-540-26493-0_6 · Cited by 29

Curie transition of superparamagnetic nickel nanoparticles in silica glass: A phase transition in a finite size system

Amekura, H., Fudamoto, Y., Takeda, Y., et al. (2005) · Physical Review B · doi:10.1103/physrevb.71.172404 · Cited by 25

A Hidden Markov Model for Transcriptional Regulation in Single Cells

Goutsias, J. I. (2006) · IEEE Transactions on Computational Biology and Bioinformatics · doi:10.1109/tcbb.2006.2 · Cited by 24

Competition between exchange and anisotropy in a pyrochlore ferromagnet

Champion, J. D. M., Bramwell, S. T., Holdsworth, P. C. W., et al. (2002) · Europhysics Letters (EPL) · doi:10.1209/epl/i2002-00546-1 · Cited by 25

Scaling concepts in periodically modulated noisy systems

Vilar, J. M. G., & Rubı́, J. M. (1999) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(98)00313-6 · Cited by 25

Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb Systems. III. Loopwise Expansion

Caillol, J.-M. (2004) · Journal of Statistical Physics · doi:10.1023/b:joss.0000028066.25728.cf · Cited by 25

Intermediate asymptotics, scaling laws and renormalization group in continuum mechanics

Barenblatt, G. I. (1993) · Meccanica · doi:10.1007/bf00989119 · Cited by 25

The evolution of the large-scale structure of the universe: beyond the linear regime

Bernardeau, F. (2015) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198728856.003.0002 · Cited by 24

Direct evaluation of dynamical large-deviation rate functions using a variational ansatz

Jacobson, D., & Whitelam, S. (2019) · Physical review. E · doi:10.1103/physreve.100.052139 · Cited by 24

Long-range and frustrated spin-spin interactions in crystals of cold polar molecules

Zhou, Y., Ortner, M., & Rabl, P. (2011) · Physical Review A · doi:10.1103/physreva.84.052332 · Cited by 24

Universality and RG Explanations

Batterman, R. W. (2019) · Perspectives on Science · doi:10.1162/posc_a_00298 · Cited by 24

Scale invariant dynamics of surface growth

Castellano, C., Marsili, M., Muñoz, M. A., et al. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.59.6460 · Cited by 24

Effect of dimensionality on the percolation thresholds of various d -dimensional lattices

Torquato, S., & Jiao, Y. (2013) · Physical Review E · doi:10.1103/physreve.87.032149 · Cited by 24

Universal critical-scattering function: An experimental approach

Damay, P., Leclercq, F., Magli, R., et al. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.58.12038 · Cited by 24

Statistical field theory for simple fluids: mean field and Gaussian approximations

CAILLOL, J.-M. (2003) · Molecular Physics · doi:10.1080/0026897031000068488 · Cited by 24

Direct simulations of the stress redistribution in the scaling organization of fracture tectonics (SOFT) model

Narteau, C., Шебалин, П. Н., Holschneider, M., et al. (2000) · Geophysical Journal International · doi:10.1046/j.1365-246x.2000.00063.x · Cited by 24

The fractal structure of the universe: a new field theory approach

de Vega, H. J., Sanchez, N. G., & Combes, F. (1998) · CERN Document Server (European Organization for Nuclear Research) · Cited by 24

Emergent polar order in nonpolar mixtures with nonreciprocal interactions

Pisegna, G., Saha, S., & Golestanian, R. (2024) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2407705121 · Cited by 23

Universality of active wetting transitions

Sepúlveda, N., & Soto, R. (2018) · Physical review. E · doi:10.1103/physreve.98.052141 · Cited by 23

Disordered Heterogeneous Universe: Galaxy Distribution and Clustering across Length Scales

Philcox, O. H. E., & Salvatore Torquato, A. (2023) · Physical Review X · doi:10.1103/physrevx.13.011038 · Cited by 23

Hyperuniformity of maximally random jammed packings of hyperspheres across spatial dimensions

Maher, C. E., Jiao, Y., & Torquato, S. (2023) · Physical review. E · doi:10.1103/physreve.108.064602 · Cited by 23

Motion analysis in oceanographic satellite images using multiscale methods and the energy cascade

Yahia, H. M., Sudre, J., Pottier, C., et al. (2010) · Pattern Recognition · doi:10.1016/j.patcog.2010.04.011 · Cited by 23

Point-occurrence self-similarity in crackling-noise systems and in other complex systems

Corral, √. (2009) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/2009/01/p01022 · Cited by 23

Explaining Financial Markets in Terms of Complex Systems

Kuhlmann, M. (2014) · Philosophy of Science · doi:10.1086/677699 · Cited by 23

Statistical field theory with constraints: Application to critical Casimir forces in the canonical ensemble

Gross, M., Gambassi, A., & Dietrich, S. (2017) · Physical review. E · doi:10.1103/physreve.96.022135 · Cited by 23

Bell inequalities for random fields

MORGAN, P. T. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/23/018 · Cited by 22

A Tsallis’ statistics based neural network model for novel word learning

Hadzibeganovic, T., & Cannas, S. A. (2008) · Physica A Statistical Mechanics and its Applications · doi:10.1016/j.physa.2008.10.042 · Cited by 23

Ising spins on thin graphs

BAILLIE, C. F., Johnston, D. A., & Kownacki, J.-P. (1994) · Nuclear Physics B · doi:10.1016/0550-3213(94)90033-7 · Cited by 21

Sine-Gordon Theory for the Equation of State of Classical Hard-Core Coulomb systems. III Loopwise Expansion

Caillol, J.-M. (2004) · HAL (Le Centre pour la Communication Scientifique Directe) · Cited by 23

Some basic aspects of quantum phase transitionsPreprint

Shopova, D. V., & Uzunov, D. I. (2003) · Cited by 23

Scale-Free Correlations in Flocking Systems with Position-Based Interactions

Huepe, C., Ferrante, E., Wenseleers, T., & Turgut, A. E. (2014) · Journal of Statistical Physics · doi:10.1007/s10955-014-1114-8 · Cited by 23

From the slit-island method to the Ising model: Analysis of irregular grayscale objects

Mazurek, P., & Ażurek, D. O. A.-M. (2014) · International Journal of Applied Mathematics and Computer Science · doi:10.2478/amcs-2014-0004 · Cited by 22

On fourth-order elliptic boundary value problems with nonmonotone nonlinear function

Wang, Y.-M. (2005) · Journal of Mathematical Analysis and Applications · doi:10.1016/j.jmaa.2004.09.063 · Cited by 22

Sound attenuation, shear viscosity, and mutual diffusivity behavior in the nitroethane-cyclohexane critical mixture

Behrends, R. E., Iwanowski, I., Kosmowska, M., et al. (2004) · The Journal of Chemical Physics · doi:10.1063/1.1781614 · Cited by 22

Critical behavior of hadronic fluctuations and the effect of final-state randomization

Hwa, R. C., & Wu, Y. (1999) · Physical Review C · doi:10.1103/physrevc.60.054904 · Cited by 22

Glass-like behavior in supercritical fluids: The effect of critical slowing down on solute dynamics

Goodyear, G., & Tucker, S. C. (1999) · The Journal of Chemical Physics · doi:10.1063/1.480299 · Cited by 22

Specific-heat amplitude ratio near a Lifshitz point

Nasser, I. M., Abdel‐Hady, A., & Folk, R. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.154 · Cited by 22

Model-independent mean-field theory as a local method for approximate propagation of information

Haft, M., Hofmann, R., & Volker Tresp, C. (1999) · Network Computation in Neural Systems · doi:10.1088/0954-898x_10_1_006 · Cited by 23

Phase transitions for N-electron atoms at the large-dimension limit

Serra, P., & Kais, S. (1997) · Physical Review A · doi:10.1103/physreva.55.238 · Cited by 22

Casimir force in the O(n→∞) model with free boundary conditions

Dantchev, D. M., Bergknoff, J., & Rudnick, J. (2014) · Physical Review E · doi:10.1103/physreve.89.042116 · Cited by 21

Percolation on a multifractal scale-free planar stochastic lattice and its universality class

Hassan, M. K., & Rahman, M. M. (2015) · Physical Review E · doi:10.1103/physreve.92.040101 · Cited by 21

Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems

Wang, Y.-M., & Guo, B. (2007) · Journal of Computational and Applied Mathematics · doi:10.1016/j.cam.2007.10.007 · Cited by 21

Correlated Fluctuations in Strongly Coupled Binary Networks Beyond Equilibrium

Dahmen, D., Bos, H., & Helias, M. (2016) · Physical Review X · doi:10.1103/physrevx.6.031024 · Cited by 32

High-temperature correlation functions: Universality, extraction of exchange interactions, divergent correlation lengths, and generalized Debye length scales

Chakrabarty, S., & Nussinov, Z. (2011) · Physical Review B · doi:10.1103/physrevb.84.064124 · Cited by 21

Exact sampling from nonattractive distributions using summary states

Childs, A. M., Patterson, R. B., & Mackay, D. (2001) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.63.036113 · Cited by 21

Critical Casimir forces for films with bulk ordering fields

Vasilyev, O. A., & Dietrich, S. (2013) · Max Planck Digital Library · Cited by 21

ASTROPHYSICAL FRACTALS: INTERSTELLAR MEDIUM AND GALAXIES

Combes, F. (2000) · Advanced series in astrophysics and cosmology · doi:10.1142/9789812793621_0008 · Cited by 27

One-Parameter Superscaling at the Metal-Insulator Transition in Three Dimensions

Varga, I., Hofstetter, E., & Pipek, J. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.4683 · Cited by 21

Temperature-dependent scaling fields and quantum criticality within the Wilson renormalization group approach

D’Auria, A. C., Cesare, L. D., Esposito, U., & Rabuffo, I. (1997) · Physica A Statistical Mechanics and its Applications · doi:10.1016/s0378-4371(97)00274-4 · Cited by 21

Board Interlocking Network and the Design of Executive Compensation PackagesPreprint

Wong, L. H., Gygax, A. F., & Wang, P. (2007) · SSRN Electronic Journal · doi:10.2139/ssrn.965991 · Cited by 21

Self-organizing circuitry and emergent computation in mouse embryonic stem cells

Halley, J. D., Smith‐Miles, K., Winkler, D. A., Kalkan, T., Huang, S., & Smith, A. G. (2011) · Stem Cell Research · doi:10.1016/j.scr.2011.11.001 · Cited by 21

Integral Equation Prediction of Reversible Coagulation in Charged Colloidal Suspensions

Morales‐Flórez, V., Anta, J. A., & Lago, S. (2002) · Langmuir · doi:10.1021/la0262699 · Cited by 20

Theory of continuum percolation. II. Mean field theory

Drory, A. (1996) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.54.6003 · Cited by 20

On a Possible Unified Scaling Law for Volcanic Eruption Durations

Cannavò, F., & Nunnari, G. (2016) · Scientific Reports · doi:10.1038/srep22289 · Cited by 20

Effective Medium Theory for the Elastic Properties of Composite Materials with Various Percolation Thresholds

Snarskii, A. A., Shamonin, M., & Pavel, Y. (2020) · Materials · doi:10.3390/ma13051243 · Cited by 20

Bulk diffusivity of lattice gases close to criticality

Spohn, H. E., & Yau, H. (1995) · Journal of Statistical Physics · doi:10.1007/bf02179388 · Cited by 20

Fluctuation of voids in hadronization at phase transition

Hwa, R. C., & Zhang, Q. (2000) · Physical Review C · doi:10.1103/physrevc.62.054902 · Cited by 20

Complex Network Structure of Flocks in the Standard Vicsek Model

Baglietto, G., Albano, E. V., & Candia, J. (2013) · Journal of Statistical Physics · doi:10.1007/s10955-013-0827-4 · Cited by 20

Polydisperse lattice-gas model

Wilding, N. B., Sollich, P., & Buzzacchi, M. (2008) · Physical Review E · doi:10.1103/physreve.77.011501 · Cited by 20

Fracture of disordered solids in compression as a critical phenomenon. III. Analysis of the localization transition

Toussaint, R., & Pride, S. R. (2002) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.66.036137 · Cited by 20

Nonequilibrium-molecular-dynamics investigation of the presmectic behavior of the viscosities of a Gay-Berne nematic liquid crystal

Bennett, L., & Hess, S. (1999) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.60.5561 · Cited by 20

AC-susceptibility of Ni/W(110) ultrathin magnetic films: determination of the Curie temperature and critical behavior

Bovensiepen, U., Rüdt, C., Poulopoulos, P., et al. (2001) · Journal of Magnetism and Magnetic Materials · doi:10.1016/s0304-8853(00)01363-9 · Cited by 20

Statistical signatures of structural organization: The case of long memory in renewal processes

Marzen, S., & Crutchfield, J. P. (2016) · Physics Letters A · doi:10.1016/j.physleta.2016.02.052 · Cited by 18

Local multiplicity fluctuations as a signature of critical hadronization in heavy-ion collisions at TeV energies

Hwa, R. C., & Yang, C. B. (2012) · Physical Review C · doi:10.1103/physrevc.85.044914 · Cited by 19

Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability

Wang, H., & Torquato, S. (2022) · Physical Review Applied · doi:10.1103/physrevapplied.17.034022 · Cited by 19

Magnetic phase diagram of a molecule-based ferrimagnet: Weak ferromagnetism and multiple dimensionality crossovers

Wynn, C. M., Gîrțu, M. A., Miller, J. S., et al. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.14050 · Cited by 19

Real-space renormalization group for the random-field Ising model

Newman, M. E. J., Roberts, B. W., Barkema, G. T., et al. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.16533 · Cited by 19

Fluctuations Near the Critical Micelle Concentration. I. Premicellar Aggregation, Relaxation Rate, and Isentropic Compressibility

Bhattacharjee, J. K., & Kaatze, U. (2013) · The Journal of Physical Chemistry B · doi:10.1021/jp4011185 · Cited by 19

Griffiths-Wheeler geometrical picture of critical phenomena: Experimental testing for liquid-liquid critical points

Troncoso, J., González-Salgado, D., Cerdeiriña, C. A., et al. (2005) · Physical Review E · doi:10.1103/physreve.71.021503 · Cited by 19

Computational Statistical Mechanics

CHORIN, A. J., & Hald, O. H. (2013) · Texts in applied mathematics · doi:10.1007/978-1-4614-6980-3_8 · Cited by 19

Static crossover behavior in the neighborhood of a Lifshitz point

Nasser, I. M., & Folk, R. (1995) · Physical review. B, Condensed matter · doi:10.1103/physrevb.52.15799 · Cited by 19

QED(1+1) at Finite Temperature – a Study with Light-Cone Quantisation.Preprint

Elser, S., Kalloniatis, A. C., & Mpi-h-v, P. (1996) · Cited by 19

Dynamics of the modified Kibble-Żurek mechanism in antiferromagnetic spin-1 condensates

Witkowska, E., Dziarmaga, J., Świsłocki, T., & Matuszewski, M. (2013) · Physical Review B · doi:10.1103/physrevb.88.054508 · Cited by 18

Jerky Motion in Slowly Driven Magnetic and Earthquake Fault Systems, Physics of

Dahmen, K. A., & Ben‐Zion, Y. (2010) · Springer eBooks · doi:10.1007/978-1-4419-7695-6_36 · Cited by 18

Thermo-mechanical efficiency of the bimetallic strip heat engine at the macro-scale and micro-scale

Arnaud, A., Boughaleb, J., Monfray, S., et al. (2015) · Journal of Micromechanics and Microengineering · doi:10.1088/0960-1317/25/10/104003 · Cited by 18

Critical exponents of SU(2) gauge theory in 2+1 dimensions

Kehl, E., Miller, D. E., Satz, H., et al. (1988) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.38.1950 · Cited by 4

CRITICAL EXPONENTS AND CRITICAL SLOWING DOWN IN OPTICAL BISTABILITY — A PHENOMENOLOGICAL APPROACH

Tsao, P.-H., & Liu, W.-C. (1992) · Modern Physics Letters B · doi:10.1142/s0217984992000442 · Cited by 1

Critical Exponents of O(N) Scalar Model at Temperatures below the Critical Value Using Auxiliary Mass Method

Ogure, K., 佐藤, 丈., サトウ, ジ., et al. (1999) · Institutional Repositories DataBase (IRDB) · Cited by 3

Divergence behavior of thermodynamic curvature scalar at critical point in the extended phase space of generic black holes

Hu, Y.-P., Cai, L. J., Liang, X. G., et al. (2021) · Physics Letters B · doi:10.1016/j.physletb.2021.136661 · Cited by 17

Critical phenomena in constrained systems and random-field problem

Busiello, G. (1987) · Physics Letters A · doi:10.1016/0375-9601(87)90147-2