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	ABOUT: [Introduction][History][Related areas][Subfields] POINTERS: [Texts][Software][Web links][Selected topics here] 82: Statistical mechanics, structure of matter

Introduction

Statistical mechanics, structure of matter: study of large-scale systems of particles, including stochastic systems and moving or evolving systems. Specific types of matter studied include fluids, crystals, metals, and other solids.

History

Applications and related fields

Subfields

• 82B: Equilibrium statistical mechanics
• 82C: Time-dependent statistical mechanics (dynamic and nonequilibrium)
• 82D: Applications to specific types of physical systems

Browse all (old) classifications for this area at the AMS.

Textbooks, reference works, and tutorials

Barker, J. A.; Henderson, D.: "What is `liquid'? Understanding the states of matter", Rev. Modern Phys. 48 (1976), no. 4, 587--671. MR56#17630

Michel, Louis: "What is a crystal?", Proceedings of the 14th ICGTMP (Seoul, 1985), 86--97; World Sci. Publishing, Singapore, 1986. CMP852706

Everett, C. J.; Cashwell, E. D.: "A relativity primer for particle transport", Adv. in Appl. Math. 3 (1982), no. 2, 103--261. MR84m:82119

Cartier, Pierre: "Nouvelles aventures au pays des q-analogues (équation de Yang-Baxter). (French: New adventures in the land of q-analogues (the Yang-Baxter equation) ) Séminaire Lotharingien de Combinatoire (Rouge-Gazon, 1990), 5--37, Publ. Inst. Rech. Math. Av., 460; Univ. Louis Pasteur, Strasbourg, 1992. MR96g:82021

"Quasicrystals: the state of the art", Edited by D. P. DiVincenzo and P. J. Steinhardt. Directions in Condensed Matter Physics, 11. World Scientific Publishing Co., Inc., River Edge, NJ, 1991. 524 pp. ISBN 981-02-0522-8; 981-02-0523-6 MR94h:82061

Parisi, Giorgio: "Spin glasses, complexity and all that", Statistical physics (Berlin, 1992). Phys. A 194 (1993), no. 1-4, 28--40. MR94a:82050

Statistical Mechanics online tutorial

Software and tables

Relevant files from the Computer Physics Communications program library

Other web sites with this focus

• Mathematics for Homogenization and Materials-Related Problems
• Here are the AMS and Goettingen resource pages for area 82.
• The Net Advance of Physics

Selected topics at this site

• What is entropy?
• The Ising problem in statistical mechanics: how many configurations of a lattice with given total energy?
• Statistical mechanical treatment of magnetism (Ising, Heisenberg models)
• Counting runs and clusters in sequences and arrays (percolation theory).