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Most cited papers in Theoretical and Computational Physics

Theoretical and Computational Physics

What are the most cited papers in Theoretical and Computational Physics?

The most cited paper in Theoretical and Computational Physics is "Optimization by Simulated Annealing" (Scott Kirkpatrick, C. D. Gelatt, Mario P. Vecchi, 1983), with 45,251 citations. Next come "Particle mesh Ewald: An N ⋅log( N ) method for Ewald sums in large systems" (31,396) and "Canonical sampling through velocity rescaling" (19,040).

Showing 50 of 100 papers. Every paper with more than 2,064 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Optimization by Simulated Annealing Scott Kirkpatrick, C. D. Gelatt, Mario P. Vecchi · Science 13 May 1983 45,251
2 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
3 Canonical sampling through velocity rescaling Giovanni Bussi, Davide Donadio, Michele Parrinello · The Journal of Chemical Physics Open access 3 Jan 2007 19,040
4 Visualization and analysis of atomistic simulation data with OVITO–the Open Visualization Tool Alexander Stukowski · Modelling and Simulation in Materials Science and Engineering Open access 15 Dec 2009 16,794
5 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
6 Ordering, metastability and phase transitions in two-dimensional systems J. Michael Kosterlitz, D. J. Thouless · Journal of Physics C Solid State Physics Open access 12 Apr 1973 9,586
7 Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models N. David Mermin, Hermann‐Josef Wagner · Physical Review Letters 28 Nov 1966 8,374
8 Pattern formation outside of equilibrium M. C. Cross, Pierre C. Hohenberg · Reviews of Modern Physics Jul 1993 7,918
9 Theory of dynamic critical phenomena Pierre C. Hohenberg, Bertrand I. Halperin · Reviews of Modern Physics Jul 1977 6,962
10 A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics I. Dzyaloshinsky · Journal of Physics and Chemistry of Solids 1958 6,337
11 Nonphysical sampling distributions in Monte Carlo free-energy estimation: Umbrella sampling Glenn M. Torrie, John P. Valleau · Journal of Computational Physics Feb 1977 6,323
12 Vortices in high-temperature superconductors G. Blatter, Mikhail V. Feigel'man, V. B. Geshkenbeǐn et al. · Reviews of Modern Physics Oct 1994 6,270
13 Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions Elihu Abrahams, Philip Warren Anderson, Donald C. Licciardello et al. · Physical Review Letters 5 Mar 1979 6,169
14 Exactly Solved Models in Statistical Mechanics R. J. Baxter · Series on advances in statistical mechanics Book chapter May 1985 5,807
15 Monte Carlo Statistical Methods Hoon Kim, Christian P. Robert, George Casella · Technometrics Open access Nov 2000 5,603
16 Dynamic Scaling of Growing Interfaces Mehran Kardar, Giorgio Parisi, Yi-Cheng Zhang · Physical Review Letters 3 Mar 1986 5,494
17 Nonequilibrium Equality for Free Energy Differences Christopher Jarzynski · Physical Review Letters Open access 7 Apr 1997 5,427
18 Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon Thomas A. Witten, Leonard M. Sander · Physical Review Letters 9 Nov 1981 5,387
19 Percolation and Conduction Scott Kirkpatrick · Reviews of Modern Physics Oct 1973 5,252
20 Spin glasses: Experimental facts, theoretical concepts, and open questions Kurt Binder, Alan P Young · Reviews of Modern Physics Oct 1986 5,231
21 The renormalization group and the ε expansion Kenneth G. Wilson · Physics Reports Aug 1974 5,222
22 Formation of Glasses from Liquids and Biopolymers C. A. Angell · Science 31 Mar 1995 4,811
23 Self-organized criticality Per Bak, Chao Tang, Kurt A. Wiesenfeld · Physical Review A Jul 1988 4,775
24 Structure and Dynamics of the TIP3P, SPC, and SPC/E Water Models at 298 K Pekka Mark, Lennart Nilsson · The Journal of Physical Chemistry A 6 Oct 2001 4,705
25 Supercooled liquids and the glass transition Pablo G. Debenedetti, Frank H. Stillinger · Nature 8 Mar 2001 4,670
26 Transport, Collective Motion, and Brownian Motion Hazime Mori · Progress of Theoretical Physics Mar 1965 4,628
27 The renormalization group: Critical phenomena and the Kondo problem Kenneth G. Wilson · Reviews of Modern Physics Oct 1975 4,558
28 Dissipative particle dynamics: Bridging the gap between atomistic and mesoscopic simulation Robert D. Groot, Patrick B. Warren · The Journal of Chemical Physics 15 Sep 1997 4,550
29 Spin liquids in frustrated magnets Leon Balents · Nature 9 Mar 2010 4,411
30 Two soluble models of an antiferromagnetic chain Elliott Lieb, T. D. Schultz, Daniel Charles Mattis · Annals of Physics Dec 1961 4,350
31 Solvable Model of a Spin-Glass David C. Sherrington, Scott Kirkpatrick · Physical Review Letters 29 Dec 1975 4,332
32 Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications Jean‐Philippe Bouchaud, Antoine Georges · Physics Reports Nov 1990 4,213
33 Hybrid Monte Carlo Simon Duane, Anthony D. Kennedy, Brian J. Pendleton et al. · Physics Letters B Sep 1987 3,975
34 Simulating Microscopic Hydrodynamic Phenomena with Dissipative Particle Dynamics P. J. Hoogerbrugge, J. M. V. A. Koelman · Europhysics Letters (EPL) Jun 1992 3,833
35 Time-Dependent Statistics of the Ising Model Roy J. Glauber · Journal of Mathematical Physics Feb 1963 3,668
36 Routine Microsecond Molecular Dynamics Simulations with AMBER on GPUs. 2. Explicit Solvent Particle Mesh Ewald Romelia Salomón–Ferrer, Andreas W. Götz, Duncan Poole et al. · Journal of Chemical Theory and Computation 6 Aug 2013 3,629
37 The Potts model Fa Yueh Wu · Reviews of Modern Physics 1982 3,604
38 On spinodal decomposition John W. Cahn · Acta Metallurgica Sep 1961 3,597
39 Boson localization and the superfluid-insulator transition Matthew P. A. Fisher, Peter B. Weichman, G. Grinstein et al. · Physical review. B, Condensed matter Jul 1989 3,529
40 Bond-orientational order in liquids and glasses Paul Joseph Steinhardt, David R. Nelson, Marco Ronchetti · Physical review. B, Condensed matter 15 Jul 1983 3,506
41 Anomalous low-temperature thermal properties of glasses and spin glasses Philip Warren Anderson, B. I. Halperin, C. M. Varma · Philosophical magazine 1972 3,504
42 Diluted magnetic semiconductors J. K. Furdyna · Journal of Applied Physics 15 Aug 1988 3,489
43 Thermodynamical approach to the traveling salesman problem: An efficient simulation algorithm V. Černý · Journal of Optimization Theory and Applications 1985 3,448
44 Well-Tempered Metadynamics: A Smoothly Converging and Tunable Free-Energy Method Alessandro Barducci, Giovanni Bussi, Michele Parrinello · Physical Review Letters Open access 18 Jan 2008 3,391
45 Fractal Concepts in Surface Growth Albert-Ĺaszló Barabási, Harry Eugene Stanley, Leonard M. Sander · Physics Today Oct 1995 3,343
46 Chaos and quantum thermalization Mark Srednicki · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Open access Aug 1994 3,285
47 Ensemble samplers with affine invariance Jonathan B. Goodman, Jonathan Weare · Communications in Applied Mathematics and Computational Science Open access 31 Jan 2010 3,183
48 The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid Philip Geoffrey Saffman, Geoffrey Ingram Taylor · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 24 Jun 1958 3,174
49 Statistical mechanics of cellular automata Stephen Wolfram · Reviews of Modern Physics Jul 1983 3,158
50 Electrical resistance of disordered one-dimensional lattices Rolf W. Landauer · Philosophical magazine Apr 1970 3,066

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.