Mathematical Sciences Classification System

82Bxx - Equilibrium statistical mechanics

  • 1
    82B03
    Foundations
  • 4
    82B05
    Classical equilibrium statistical mechanics (general)
  • 8
    82B10
    Quantum equilibrium statistical mechanics (general)
  • 14
    82B20
    Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
  • 1
    82B21
    Continuum models (systems of particles, etc.)
  • 7
    82B23
    Exactly solvable models; Bethe ansatz
  • 82B24
    Interface problems; diffusion-limited aggregation
  • 7
    82B26
    Phase transitions (general)
  • 2
    82B27
    Critical phenomena
  • 3
    82B28
    Renormalization group methods [See also 81T17]
  • 2
    82B30
    Statistical thermodynamics [See also 80-XX]
  • 3
    82B31
    Stochastic methods
  • 82B35
    Irreversible thermodynamics, including Onsager-Machlup theory [See also 92E20]
  • 2
    82B40
    Kinetic theory of gases
  • 5
    82B41
    Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41]
  • 5
    82B43
    Percolation [See also 60K35]
  • 19
    82B44
    Disordered systems (random Ising models, random Schrödinger operators, etc.)
  • 1
    82B80
    Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80]
  • 82B99
    None of the above, but in this section

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