zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2010

82-XX

Statistical mechanics, structure of matter 72470

82-00

General reference works (handbooks, dictionaries, bibliographies, etc.) 29

82-01

Instructional exposition (textbooks, tutorial papers, etc.) 579

82-02

Research exposition (monographs, survey articles) 1170

82-03

Historical (must also be assigned at least one classification number from Section 01) 337

82-04

Explicit machine computation and programs (not the theory of computation or programming) 444

82-05

Experimental papers 98

82-06

Proceedings, conferences, collections, etc. 812

82-08

Computational methods 1405

82Bxx

Equilibrium statistical mechanics 30247

82B03

Foundations 651

82B05

Classical equilibrium statistical mechanics (general) 2202

82B10

Quantum equilibrium statistical mechanics (general) 3660

82B20

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs 8748

82B21

Continuum models (systems of particles, etc.) 837

82B23

Exactly solvable models; Bethe ansatz 2611

82B24

Interface problems; diffusion-limited aggregation 545

82B26

Phase transitions (general) 4033

82B27

Critical phenomena 1696

82B28

Renormalization group methods [See also 81T17] 1050

82B30

Statistical thermodynamics [See also 80-XX] 2227

82B31

Stochastic methods 668

82B35

Irreversible thermodynamics, including Onsager-Machlup theory [See also 92E20] 596

82B40

Kinetic theory of gases 1706

82B41

Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41] 2284

82B43

Percolation [See also 60K35] 1672

82B44

Disordered systems (random Ising models, random Schrödinger operators, etc.) 2646

82B80

Numerical methods (Monte Carlo, series resummation, etc.) [See also 65-XX, 81T80] 1461

82B99

None of the above, but in this section 413

82Cxx

Time-dependent statistical mechanics (dynamic and nonequilibrium) 23025

82C03

Foundations 408

82C05

Classical dynamic and nonequilibrium statistical mechanics (general) 1310

82C10

Quantum dynamics and nonequilibrium statistical mechanics (general) 2117

82C20

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs 2146

82C21

Dynamic continuum models (systems of particles, etc.) 584

82C22

Interacting particle systems [See also 60K35] 2846

82C23

Exactly solvable dynamic models [See also 37K60] 244

82C24

Interface problems; diffusion-limited aggregation 583

82C26

Dynamic and nonequilibrium phase transitions (general) 1393

82C27

Dynamic critical phenomena 431

82C28

Dynamic renormalization group methods [See also 81T17] 285

82C31

Stochastic methods (Fokker-Planck, Langevin, etc.) [See also 60H10] 3045

82C32

Neural nets [See also 68T05, 91E40, 92B20] 948

82C35

Irreversible thermodynamics, including Onsager-Machlup theory 1000

82C40

Kinetic theory of gases 3018

82C41

Dynamics of random walks, random surfaces, lattice animals, etc. [See also 60G50] 945

82C43

Time-dependent percolation [See also 60K35] 235

82C44

Dynamics of disordered systems (random Ising systems, etc.) 685

82C70

Transport processes 4376

82C80

Numerical methods (Monte Carlo, series resummation, etc.) 1884

82C99

None of the above, but in this section 382

82Dxx

Applications to specific types of physical systems 27291

Gases 1166

Plasmas 3753

Liquids 1260

Solids 1756

Crystals [For crystallographic group theory, see 20H15] 3633

82D30

Random media, disordered materials (including liquid crystals and spin glasses) 2511

82D35

Metals 576

82D37

Semiconductors 2405

82D40

Magnetic materials 2215

Ferroelectrics 599

Superfluids 900

Superconductors 2968

Polymers 2828

Nuclear reactor theory; neutron transport 837

82D77

Quantum wave guides, quantum wires [See also 78A50] 280

82D80

Nanostructures and nanoparticles 1503

82D99

None of the above, but in this section 660

Overview

General mathematics

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory, homological algebra

$K$-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximation and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum Theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and	abc*	right wildcard
a \| b	logical or	"ab c"	phrase
!ab	logical not	(ab c)	parentheses

zbMATH — the first resource for mathematics

Examples

Fields

Operators

Mathematics Subject Classification – MSC2010

Overview