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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 836

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 31607

82B03

Foundations of equilibrium statistical mechanics 676

82B05

Classical equilibrium statistical mechanics (general) 2259

82B10

Quantum equilibrium statistical mechanics (general) 3815

82B20

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics 9200

82B21

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

82B23

Exactly solvable models; Bethe ansatz 2706

82B24

Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics 574

82B26

Phase transitions (general) in equilibrium statistical mechanics 4275

82B27

Critical phenomena in equilibrium statistical mechanics 1795

82B28

Renormalization group methods in equilibrium statistical mechanics [See also 81T17] 1083

82B30

Statistical thermodynamics [See also 80-XX] 2381

82B31

Stochastic methods applied to problems in equilibrium statistical mechanics 686

82B35

Irreversible thermodynamics, including Onsager-Machlup theory [See also 92E20] 611

82B40

Kinetic theory of gases in equilibrium statistical mechanics 1749

82B41

Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics [See also 60G50, 82C41] 2362

82B43

Percolation [See also 60K35] 1784

82B44

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics 2791

82B99

None of the above, but in this section 421

82Cxx

Time-dependent statistical mechanics (dynamic and nonequilibrium) 24482

82C03

Foundations of time-dependent statistical mechanics 414

82C05

Classical dynamic and nonequilibrium statistical mechanics (general) 1364

82C10

Quantum dynamics and nonequilibrium statistical mechanics (general) 2263

82C20

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics 2288

82C21

Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics 594

82C22

Interacting particle systems in time-dependent statistical mechanics [See also 60K35] 3205

82C23

Exactly solvable dynamic models in time-dependent statistical mechanics [See also 37K60] 261

82C24

Interface problems; diffusion-limited aggregation in time-dependent statistical mechanics 619

82C26

Dynamic and nonequilibrium phase transitions (general) in statistical mechanics 1513

82C27

Dynamic critical phenomena in statistical mechanics 480

82C28

Dynamic renormalization group methods applied to problems in time-dependent statistical mechanics [See also 81T17] 313

82C31

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics [See also 60H10] 3301

82C32

Neural nets applied to problems in time-dependent statistical mechanics [See also 68T05, 91E40, 92B20] 976

82C35

Irreversible thermodynamics, including Onsager-Machlup theory 1068

82C40

Kinetic theory of gases in time-dependent statistical mechanics 3234

82C41

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics [See also 60G50] 1031

82C43

Time-dependent percolation in statistical mechanics [See also 60K35] 255

82C44

Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics 740

82C70

Transport processes in time-dependent statistical mechanics 4514

82C99

None of the above, but in this section 387

82Dxx

Applications of statistical mechanics to specific types of physical systems 28819

82D03

Statistical mechanical studies in condensed matter (general) 1

82D05

Statistical mechanical studies of gases 1243

82D10

Statistical mechanical studies of plasmas 4001

82D15

Statistical mechanical studies of liquids 1306

82D20

Statistical mechanical studies of solids 1842

82D25

Statistical mechanical studies of crystals {For crystallographic group theory, see 20H15} 3805

82D30

Statistical mechanical studies of random media, disordered materials (including liquid crystals and spin glasses) 2643

82D35

Statistical mechanical studies of metals 615

82D37

Statistical mechanical studies of semiconductors 2497

82D40

Statistical mechanical studies of magnetic materials 2413

82D45

Statistical mechanical studies of ferroelectrics 622

82D50

Statistical mechanical studies of superfluids 943

82D55

Statistical mechanical studies of superconductors 3132

82D60

Statistical mechanical studies of polymers 2963

82D75

Nuclear reactor theory; neutron transport 890

82D77

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

82D80

Statistical mechanical studies of nanostructures and nanoparticles 1692

82D99

None of the above, but in this section 669

82Mxx

Basic methods in statistical mechanics [See also 65-XX] 96

82M10

Finite element, Galerkin and related methods applied to problems in statistical mechanics 12

82M12

Finite volume methods applied to problems in statistical mechanics 6

82M15

Boundary element methods applied to problems in statistical mechanics 0

82M20

Finite difference methods applied to problems in statistical mechanics 15

82M22

Spectral, collocation and related (meshless) methods applied to problems in statistical mechanics 5

82M30

Variational methods applied to problems in statistical mechanics 1

82M31

Monte Carlo methods applied to problems in statistical mechanics [See also 65C05] 16

82M36

Computational density functional analysis in statistical mechanics 12

82M37

Computational molecular dynamics in statistical mechanics 6

82M60

Stochastic analysis in statistical mechanics [See also 65C35] 4

82M99

None of the above, but in this section 23

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Mathematics Subject Classification – MSC2020

Overview