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Mathematics Subject Classification – MSC2020

History of statistical mechanics [Consider also classification numbers pertaining to Section 01-XX] 349

82-04

Software, source code, etc. for problems pertaining to statistical mechanics 454

82-05

Experimental work for problems pertaining to statistical mechanics 102

82-06

Proceedings, conferences, collections, etc. pertaining to statistical mechanics 835

82-10

Mathematical modeling or simulation for problems pertaining to statistical mechanics 5

82-11

Research data for problems pertaining to statistical mechanics 0

82Bxx

Equilibrium statistical mechanics 31480

82B03

Foundations of equilibrium statistical mechanics 676

82B05

Classical equilibrium statistical mechanics (general) 2258

82B10

Quantum equilibrium statistical mechanics (general) 3797

82B20

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 9146

82B21

Continuum models (systems of particles, etc.) arising in equilibrium statistical mechanics 883

82B23

Exactly solvable models; Bethe ansatz 2697

82B24

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics 572

82B26

Phase transitions (general) in equilibrium statistical mechanics 4251

82B27

Critical phenomena in equilibrium statistical mechanics 1781

82B28

Renormalization group methods in equilibrium statistical mechanics [See also 81T17] 1077

82B30

Statistical thermodynamics [See also 80-XX] 2369

82B31

Stochastic methods applied to problems in equilibrium statistical mechanics 686

82B35

Irreversible thermodynamics, including Onsager-Machlup theory [See also 92E20] 610

82B40

Kinetic theory of gases in equilibrium statistical mechanics 1748

82B41

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics [See also 60G50, 82C41] 2344

82B43

Percolation [See also 60K35] 1764

82B44

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics 2764

82B99

None of the above, but in this section 421

82Cxx

Time-dependent statistical mechanics (dynamic and nonequilibrium) 24373

82C03

Foundations of time-dependent statistical mechanics 414

82C05

Classical dynamic and nonequilibrium statistical mechanics (general) 1363

82C10

Quantum dynamics and nonequilibrium statistical mechanics (general) 2248

82C20

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics 2275

82C21

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics 592

82C22

Interacting particle systems in time-dependent statistical mechanics [See also 60K35] 3169

82C23

Exactly solvable dynamic models in time-dependent statistical mechanics [See also 37K60] 257

82C24

Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics 616

82C26

Dynamic and nonequilibrium phase transitions (general) in statistical mechanics 1508

82C27

Dynamic critical phenomena in statistical mechanics 475

82C28

Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics [See also 81T17] 312

82C31

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics [See also 60H10] 3290

82C32

Neural nets applied to problems in time-dependent statistical mechanics [See also 68T05, 91E40, 92B20] 973

82C35

Irreversible thermodynamics, including Onsager-Machlup theory 1060

82C40

Kinetic theory of gases in time-dependent statistical mechanics 3221

82C41

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics [See also 60G50] 1016

82C43

Time-dependent percolation in statistical mechanics [See also 60K35] 252

82C44

Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics 731

82C70

Transport processes in time-dependent statistical mechanics 4505

82C99

None of the above, but in this section 386

82Dxx

Applications of statistical mechanics to specific types of physical systems 28695

82D03

Statistical mechanical studies in condensed matter (general) 0

82D05

Statistical mechanical studies of gases 1234

82D10

Statistical mechanical studies of plasmas 3985

82D15

Statistical mechanical studies of liquids 1303

82D20

Statistical mechanical studies of solids 1838

82D25

Statistical mechanical studies of crystals {For crystallographic group theory, see 20H15} 3800

82D30

Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses) 2628

82D35

Statistical mechanical studies of metals 613

82D37

Statistical mechanical studies of semiconductors 2485

82D40

Statistical mechanical studies of magnetic materials 2388

82D45

Statistical mechanical studies of ferroelectrics 620

82D50

Statistical mechanical studies of superfluids 939

82D55

Statistical mechanical studies of superconductors 3113

82D60

Statistical mechanical studies of polymers 2948

82D75

Nuclear reactor theory; neutron transport 884

82D77

Quantum waveguides, quantum wires [See also 78A50] 297

82D80

Statistical mechanical studies of nanostructures and nanoparticles 1687

82D99

None of the above, but in this section 668

82Mxx

Basic methods in statistical mechanics [See also 65-XX] 73

82M10

Finite element, Galerkin and related methods applied to problems in statistical mechanics 11

82M12

Finite volume methods applied to problems in statistical mechanics 4

82M15

Boundary element methods applied to problems in statistical mechanics 0

82M20

Finite difference methods applied to problems in statistical mechanics 10

82M22

Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics 4

82M30

Variational methods applied to problems in statistical mechanics 1

82M31

Monte Carlo methods applied to problems in statistical mechanics [See also 65C05] 8

82M36

Computational density functional analysis in statistical mechanics 10

82M37

Computational molecular dynamics in statistical mechanics 4

82M60

Stochastic analysis in statistical mechanics [See also 65C35] 3

82M99

None of the above, but in this section 20

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Mathematics Subject Classification – MSC2020

Overview