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Topic · Statistical and Nonlinear Physics

Statistical Mechanics and Entropy

Statistical Mechanics and Entropy is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 18k research works in it since 1950. 18.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers focuses on the statistical mechanics of systems with long-range interactions and nonextensive behavior, characterized by Tsallis statistics, generalized entropies, superstatistics, non-Gaussian statistics, and anomalous diffusion. It explores the thermodynamic equilibrium, Fokker-Planck equations, and phase transitions in such systems.

  • Nonextensive Statistical Mechanics
  • Long-Range Interactions
  • Tsallis Statistics
  • Generalized Entropies
  • Superstatistics
  • Non-Gaussian Statistics
  • Anomalous Diffusion
  • Thermodynamic Equilibrium
  • Fokker-Planck Equations
  • Phase Transitions
Research works
18k
fractional, since 1950
In the world top 10%
3.2k
per year above
Top-10% rate
18.1%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+8%
the tick is no change

Which countries lead Statistical Mechanics and Entropy research?

By volume, the United States and China publish the most (288 and 179 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 288 works
  2. 2 China 179 works
  3. 3 India 126 works
  4. 4 Italy 107 works
  5. 5 France 104 works
  6. 6 Germany 91 works
  7. 7 United Kingdom 89 works
  8. 8 Russia 87 works
  9. 9 Japan 84 works
  10. 10 Brazil 82 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 23.3%China: 14.5%India: 10.2%Italy: 8.6%6 others listed: 43.4%23%largest
United States288 · 23.3%China179 · 14.5%India126 · 10.2%Italy107 · 8.6%6 others listed537 · 43.4%

Shares of the rows listed above, not of the whole node.

Which institutions lead Statistical Mechanics and Entropy research?

By volume in 2022–2025, National University of Singapore publishes the most Statistical Mechanics and Entropy research, followed by Centre National de la Recherche Scientifique and The University of Tokyo.

By volume, 2022–2025

  1. 1 National University of SingaporeSingapore 23 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 13 works
  3. 3 The University of TokyoJapan 12 works
  4. 4 Sapienza University of RomeItaly 11 works
  5. 5 Politecnico di TorinoItaly 8 works
  6. 6 Lomonosov Moscow State UniversityRussia 7 works
  7. 7 Princeton UniversityUnited States 7 works
  8. 8 University of OxfordUnited Kingdom 7 works
  9. 9 Lumen (United Kingdom)United Kingdom 7 works
  10. 10 Centro Brasileiro de Pesquisas FísicasBrazil 6 works

Who are the leading researchers in Statistical Mechanics and Entropy?

The most-cited researchers publishing on Statistical Mechanics and Entropy include H. Eugene Stanley.

  1. 1 H. Eugene Stanley United States 5.5k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is Statistical Mechanics and Entropy research done?

The largest centres of Statistical Mechanics and Entropy research in 2022–2025 are Moscow (Russia), Paris (France), Tokyo (Japan) and Beijing (China). Among places with at least 20 works in it, it is an unusually large share of all research in Singapore.

Largest cities, 2022–2025

  1. 1 Moscow Russia 42 works
  2. 2 Paris France 40 works
  3. 3 Tokyo Japan 36 works
  4. 4 Beijing China 36 works
  5. 5 London United Kingdom 26 works
  6. 6 Singapore Singapore 26 works
  7. 7 Rome Italy 25 works
  8. 8 New York United States 18 works
  9. 9 Rio de Janeiro Brazil 18 works
  10. 10 Madrid Spain 16 works

Where it is the local speciality

  1. SingaporeSG · 25.8 works4.1×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Statistical Mechanics and Entropy than the world average.

See Statistical Mechanics and Entropy on the map

Where is the best place to study Statistical Mechanics and Entropy?

Among universities, judged by research, National University of Singapore, The University of Tokyo and Sapienza University of Rome score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 National University of SingaporeSingapore 55.03.1%12.7×23 -21.7%
2 The University of TokyoJapan 48.412.3%5.5×12 +15.5%
3 Sapienza University of RomeItaly 48.015.1%5.3×11 +7.8%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is Statistical Mechanics and Entropy research growing?

Output in 2018–2022 was 8% higher than in 2013–2017, peaking in 2026. The fastest-growing topics are Statistical Mechanics and Entropy.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.