Probability Contributions to Statistical Mechanics
Published on 30. October 1994
Book
Hardback
289 pages
978-0-8218-4120-4 (ISBN)
Description
Physics has always been a fertile source of new mathematical notions and ideas, and in the past decade the stream of ideas from physics to mathematics has increased dramatically. The subfield of statistical mechanics is no exception. Containing papers written by representatives of the Moscow school of mathematical statistical mechanics, this volume illustrates certain aspects of the developing interaction between statistical mechanics on the one hand and the theories of probability and of dynamical systems on the other. Included here are papers on random walks, phase transition phenomena for Gibbs random fields, the existence of nonstandard motion integrals in statistical physics models, and the Frenkel-Kontorova model.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
Illustrations
Weight
737 gr
ISBN-13
978-0-8218-4120-4 (9780821841204)
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Schweitzer Classification
Content
An extension of the Ising model by J. Abdullaev and R. A. Minlos Central limit theorem for the random walk of one and two particles in a random environment, with mutual interaction by C. Boldrighini, R. A. Minlos, and A. Pellegrinotti Random walk of a particle interacting with a random field by R. A. Minlos Large and moderate deviations in the Ising model by R. L. Dobrushin and S. B. Shlosman Asymptotically additive integrals of motion for particles with nonpairwise interaction in dimension one by B. M. Gurevich On a ground state in the Frenkel-Kontorova model and metric properties of mappings of standard type by L. D. Pustylnikov.