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Most cited papers in Statistical and Nonlinear Physics

What are the most cited papers in Statistical and Nonlinear Physics?

The most cited paper in Statistical and Nonlinear Physics is "Collective dynamics of ‘small-world’ networks" (Duncan J. Watts, Steven H. Strogatz, 1998), with 43,707 citations. Next come "The Strength of Weak Ties" (39,087) and "Equation of State Calculations by Fast Computing Machines" (37,517).

Showing 50 of 99 papers. Every paper with more than 5,853 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Collective dynamics of ‘small-world’ networks Duncan J. Watts, Steven H. Strogatz · Nature Jun 1998 43,707
2 The Strength of Weak Ties Mark S. Granovetter · American Journal of Sociology May 1973 39,087
3 Equation of State Calculations by Fast Computing Machines N. Metropolis, Arianna W. Rosenbluth, M. N. Rosenbluth et al. · The Journal of Chemical Physics Jun 1953 37,517
4 Emergence of Scaling in Random Networks Albert-Ĺaszló Barabási, Réka Albert · Science Open access 15 Oct 1999 36,811
5 Molecular dynamics with coupling to an external bath Herman J. C. Berendsen, Johan P. M. Postma, Wilfred F. van Gunsteren et al. · The Journal of Chemical Physics Open access 15 Oct 1984 31,502
6 Particle mesh Ewald: An N ⋅log( N ) method for Ewald sums in large systems Tom Darden, Darrin M. York, Lee G. Pedersen · The Journal of Chemical Physics Open access 15 Jun 1993 31,396
7 Greedy function approximation: A gradient boosting machine. Jerome H. Friedman · The Annals of Statistics Oct 2001 30,593
8 Canonical dynamics: Equilibrium phase-space distributions William Graham Hoover · Physical Review A Mar 1985 23,918
9 Fast unfolding of communities in large networks Vincent D. Blondel, Jean‐Loup Guillaume, Renaud Lambiotte et al. · Journal of Statistical Mechanics Theory and Experiment Open access Oct 2008 21,858
10 Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen · Journal of Computational Physics Mar 1977 21,804
11 Multilayer feedforward networks are universal approximators Kurt Hornik, Maxwell B. Stinchcombe, Halbert White · Neural Networks 1989 21,792
12 Reducing the Dimensionality of Data with Neural Networks Geoffrey E. Hinton, Ruslan Salakhutdinov · Science 27 Jul 2006 21,368
13 Software survey: VOSviewer, a computer program for bibliometric mapping Nees Jan van Eck, Ludo Waltman · Scientometrics Open access 30 Dec 2009 21,265
14 Statistical mechanics of complex networks Réka Albert, Albert-Ĺaszló Barabási · Reviews of Modern Physics Open access 30 Jan 2002 20,746
15 Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics Open access 3 Nov 2018 19,776
16 The Structure and Function of Complex Networks Michael E. Newman · SIAM Review Open access 2003 18,932
17 Social Network Analysis: Methods and Applications Stanley S. Wasserman, Katherine A. Faust 1994 18,166
18 Information Theory and an Extension of the Maximum Likelihood Principle Hirotogu Akaike · Springer series in statistics Book chapter 1998 18,124
19 Centrality in social networks conceptual clarification Linton C. Freeman · Social Networks 1978 17,222
20 The genetical evolution of social behaviour. I William D. O. Hamilton · Journal of Theoretical Biology Jul 1964 15,968
21 Community structure in social and biological networks Michelle Girvan, Mark E. J. Newman · Proceedings of the National Academy of Sciences Open access 11 Jun 2002 15,819
22 Monte Carlo sampling methods using Markov chains and their applications W. Keith Hastings · Biometrika Apr 1970 15,456
23 Refinement of Macromolecular Structures by the Maximum-Likelihood Method Garib N. Murshudov, Alexey A. Vagin, E. J. Dodson · Acta Crystallographica Section D Biological Crystallography May 1997 15,006
24 Finding and evaluating community structure in networks Michelle Gayle Newman, Michelle Girvan · Physical Review E Open access 26 Feb 2004 14,307
25 The Properties of Gases and Liquids Robert Cortas Reid, THOMAS K. SHERWOOD, Robert E. Street · Physics Today Apr 1959 14,172
26 Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics Open access Nov 1988 14,114
27 Anti de Sitter space and holography Edward H. Witten · Advances in Theoretical and Mathematical Physics Open access 1998 13,441
28 Methods of Theoretical Physics Philip Μ. Morse, Herman Feshbach, Edward L. Hill · American Journal of Physics Sep 1954 13,258
29 Information Theory and Statistical Mechanics E. T. Jaynes · Physical Review 15 May 1957 13,114
30 Modularity and community structure in networks Mark E. J. Newman · Proceedings of the National Academy of Sciences Open access 24 May 2006 12,522
31 On the Einstein Podolsky Rosen paradox James S. Bell · Physics Physique Fizika Open access Nov 1964 12,389
32 emcee : The MCMC Hammer Daniel Foreman-Mackey, David W. Hogg, Dustin Lang et al. · Publications of the Astronomical Society of the Pacific Open access Mar 2013 12,323
33 Gephi: An Open Source Software for Exploring and Manipulating Networks Mathieu Bastian, Sébastien Heymann, Mathieu Jacomy · Proceedings of the International AAAI Conference on Web and Social Media Conference paperOpen access 19 Mar 2009 11,573
34 Community detection in graphs Santo Fortunato · Physics Reports Open access 18 Nov 2009 11,474
35 Complex networks: Structure and dynamics Stefano Boccaletti, Vito Latora, Yamir Moreno et al. · Physics Reports 11 Jan 2006 11,156
36 The Large N Limit of Superconformal Field Theories and Supergravity Juan M. Maldacena Preprint 1998 10,713
37 Synchronization in chaotic systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters 19 Feb 1990 10,638
38 Consensus and Cooperation in Networked Multi-Agent Systems Reza Olfati‐Saber, J.A. Fax, Richard M. Murray · Proceedings of the IEEE 2007 10,551
39 Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes Leslie Allen, Marco W. Beijersbergen, R. J. C. Spreeuw et al. · Physical Review A Jun 1992 10,522
40 A tutorial on spectral clustering Ulrike von Luxburg · Statistics and Computing Open access 21 Aug 2007 10,505
41 Free Energy of a Nonuniform System. I. Interfacial Free Energy John W. Cahn, J. E. Hilliard · The Journal of Chemical Physics Feb 1958 10,487
42 A molecular dynamics method for simulations in the canonical ensemble Shūichi Nosé · Molecular Physics 10 Jun 1984 10,260
43 Possible generalization of Boltzmann-Gibbs statistics Constantino Tsallis · Journal of Statistical Physics Jul 1988 9,702
44 Determining Lyapunov exponents from a time series Alan Wolf, Jack B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena Open access Jul 1985 9,535
45 Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules Loup Verlet · Physical Review Open access 5 Jul 1967 9,534
46 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
47 Data clustering: 50 years beyond K-means Anil Kumar Jain · Pattern Recognition Letters 10 Sep 2009 9,458
48 Large Mass Hierarchy from a Small Extra Dimension Lisa Randall, Raman Sundrum · Physical Review Letters Open access 25 Oct 1999 9,373
49 Quantal phase factors accompanying adiabatic changes Michael Berry · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 8 Mar 1984 9,285
50 The random walk's guide to anomalous diffusion: a fractional dynamics approach Ralf Metzler, J. Klafter · Physics Reports Dec 2000 9,129

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.