Most cited papers in Statistical Mechanics and Entropy
What are the most cited papers in Statistical Mechanics and Entropy?
The most cited paper in Statistical Mechanics and Entropy is "Canonical dynamics: Equilibrium phase-space distributions" (William Graham Hoover, 1985), with 23,918 citations. Next come "Information Theory and an Extension of the Maximum Likelihood Principle" (18,124) and "Information Theory and Statistical Mechanics" (13,114).
Showing 50 of 100 papers. Every paper with more than 1,051 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Canonical dynamics: Equilibrium phase-space distributions William Graham Hoover · Physical Review A | Mar 1985 | 23,918 |
| 2 | Information Theory and an Extension of the Maximum Likelihood Principle Hirotogu Akaike · Springer series in statistics | 1998 | 18,124 |
| 3 | Information Theory and Statistical Mechanics E. T. Jaynes · Physical Review | 15 May 1957 | 13,114 |
| 4 | emcee : The MCMC Hammer Daniel Foreman-Mackey, David W. Hogg, Dustin Lang et al. · Publications of the Astronomical Society of the Pacific | Mar 2013 | 12,323 |
| 5 | Possible generalization of Boltzmann-Gibbs statistics Constantino Tsallis · Journal of Statistical Physics | Jul 1988 | 9,702 |
| 6 | Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules Loup Verlet · Physical Review | 5 Jul 1967 | 9,534 |
| 7 | Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems Ryogo Kubo · Journal of the Physical Society of Japan | Jun 1957 | 9,526 |
| 8 | Self-organized criticality: An explanation of the 1/ f noise Per Bak, Chao Tang, Kurt A. Wiesenfeld · Physical Review Letters | 27 Jul 1987 | 7,701 |
| 9 | Black Holes and Entropy Jacob D. Bekenstein · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 Apr 1973 | 7,550 |
| 10 | Review of Particle Physics S. Eidelman et al. · Physics Letters B | 29 Jun 2004 | 6,725 |
| 11 | New Results in Linear Filtering and Prediction Theory Rudolf E. Kalman, R. S. Bucy · Journal of Basic Engineering | Mar 1961 | 6,409 |
| 12 | Power laws, Pareto distributions and Zipf's law MEJ Newman · Contemporary Physics | Sep 2005 | 5,876 |
| 13 | Approximate entropy as a measure of system complexity. Steven M. Pincus · Proceedings of the National Academy of Sciences | 15 Mar 1991 | 5,855 |
| 14 | Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon Thomas A. Witten, Leonard M. Sander · Physical Review Letters | 9 Nov 1981 | 5,387 |
| 15 | Divergence measures based on the Shannon entropy Jinfeng Lin · IEEE Transactions on Information Theory | 1991 | 5,278 |
| 16 | The renormalization group and the ε expansion Kenneth G. Wilson · Physics Reports | Aug 1974 | 5,222 |
| 17 | The fluctuation-dissipation theorem Ryogo Kubo · Reports on Progress in Physics | 1966 | 5,136 |
| 18 | Permutation Entropy: A Natural Complexity Measure for Time Series Christoph Bandt, Bernd Pompe · Physical Review Letters | 11 Apr 2002 | 4,937 |
| 19 | Characterization of Strange Attractors Peter Grassberger, Itamar Procaccia · Physical Review Letters | 31 Jan 1983 | 4,888 |
| 20 | Self-organized criticality Per Bak, Chao Tang, Kurt A. Wiesenfeld · Physical Review A | Jul 1988 | 4,775 |
| 21 | Model Selection and Akaike's Information Criterion (AIC): The General Theory and its Analytical Extensions Hamparsum Bozdogan · Psychometrika | Sep 1987 | 4,588 |
| 22 | The Potts model Fa Yueh Wu · Reviews of Modern Physics | 1982 | 3,604 |
| 23 | Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm V. Černý · Journal of Optimization Theory and Applications | 1985 | 3,448 |
| 24 | Thermal Fluctuations of a Single-Domain Particle William Fuller Brown · Physical Review | Jun 1963 | 3,351 |
| 25 | Asymptotic formulae for likelihood-based tests of new physics Glen Cowan, Kyle Cranmer, Eilam Gross et al. · The European Physical Journal C | Feb 2011 | 3,325 |
| 26 | Information Theory and Statistical Mechanics. II E. T. Jaynes · Physical Review | 15 Oct 1957 | 3,253 |
| 27 | Statistical distance and the geometry of quantum states Samuel L. Braunstein, Carlton M. Caves · Physical Review Letters | 30 May 1994 | 3,236 |
| 28 | A maximum entropy approach to natural language processing Adam L. Berger, Vincent J. Della Pietra, Stephen A. Della Pietra | Mar 1996 | 3,116 |
| 29 | Irreversibility and Generalized Noise Herbert B. Callen, Theodore A. Welton · Physical Review | Jul 1951 | 3,070 |
| 30 | Quantum mechanics (non relativistic theory) D. ter Haar · Journal of the Franklin Institute | Aug 1977 | 2,972 |
| 31 | Quantum statistical mechanics in a closed system Joshua M. Deutsch · Physical Review A | Feb 1991 | 2,959 |
| 32 | Analysis of Classical Statistical Mechanics by Means of Collective Coordinates Jerome K. Percus, George J. Yevick · Physical Review | Apr 1958 | 2,853 |
| 33 | Optical image encryption based on input plane and Fourier plane random encoding Philippe Réfrégier, Bahram Javidi · Optics Letters | Apr 1995 | 2,675 |
| 34 | Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences Gavin E. Crooks · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics | Sep 1999 | 2,656 |
| 35 | Studies in Molecular Dynamics. I. General Method B. J. Alder, T. E. Wainwright · The Journal of Chemical Physics | Aug 1959 | 2,521 |
| 36 | ACCELERATING UNIVERSES WITH SCALING DARK MATTER MICHEL CHEVALLIER, DAVID POLARSKI · International Journal of Modern Physics D | Apr 2001 | 2,492 |
| 37 | Ensemble Method in the Theory of Irreversibility Robert W. Zwanzig · The Journal of Chemical Physics | Nov 1960 | 2,422 |
| 38 | Explaining the Gibbs Sampler George Casella, Edward I. George · The American Statistician | Aug 1992 | 2,377 |
| 39 | Elements of Information Theory Roman F. Nalewajski | 2011 | 2,363 |
| 40 | The Zeno’s paradox in quantum theory Baidyanath Misra, E. C. G. Sudarshan · Journal of Mathematical Physics | Apr 1977 | 2,305 |
| 41 | Exact evolution equation for the effective potential Christof Wetterich · Physics Letters B | Feb 1993 | 2,205 |
| 42 | Information-theoretic metric learning Jason V. Davis, Brian Kulis, Prateek Jain et al. | 20 Jun 2007 | 2,059 |
| 43 | A Generalization of Bayesian Inference A. P. Dempster · Journal of the Royal Statistical Society Series B (Statistical Methodology) | Jul 1968 | 2,006 |
| 44 | Experimental Test of Local Hidden-Variable Theories S. J. Freedman, John F. Clauser · Physical Review Letters | 3 Apr 1972 | 2,000 |
| 45 | General properties of entropy Alfred Wehrl · Reviews of Modern Physics | Apr 1978 | 1,986 |
| 46 | Statistical Dynamics of Classical Systems Paul C. Martin, Eric D. Siggia, Harvey A. Rose · Physical Review A | Jul 1973 | 1,979 |
| 47 | The large deviation approach to statistical mechanics Hugo Touchette · Physics Reports | 9 Jun 2009 | 1,978 |
| 48 | Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation Chongming Yang, T. D. Lee · Physical Review | Aug 1952 | 1,956 |
| 49 | Markoff Random Processes and the Statistical Mechanics of Time-Dependent Phenomena. II. Irreversible Processes in Fluids Melville S. Green · The Journal of Chemical Physics | Mar 1954 | 1,851 |
| 50 | Advances in Electronics and Electron Physics Ladislaus Marton, Robert L. Sproull · Physics Today | Mar 1960 | 1,836 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.