Statistical Fluid Mechanics, Volume I: Mechanics of Turbulence

Автор: Bonch-Bruevich, V.L.
Название: The Green Function Method in Statistical Mechanics
ISBN: 0486797155 ISBN-13(EAN): 9780486797151
Издательство: Dover
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Цена: 2476.00 р.
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Описание: This concise monograph is devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Suitable for advanced undergraduates and graduate students of physics, it requires some familiarity with the basic theory of quantum mechanics and statistical mechanics.
Focusing on the general method, the treatment begins by establishing the connection between the Green functions and the thermodynamic and kinetic characteristics of a system. Subsequent chapters illustrate the method and apply it to different problems in the physics of condensed media, including the theory of electron plasmas in solids, electron-phonon interactions, and ferromagnetism at finite temperatures. Seven helpful Appendixes offer supplementary information.

Автор: Khinchin, A. Ya.
Название: Mathematical Foundations of Statistical Mechanics
ISBN: 0486601471 ISBN-13(EAN): 9780486601472
Издательство: Dover
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Цена: 1855.00 р.
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Описание: The translation of this important book brings to the English-speaking mathematician and mathematical physicist a thoroughly up-to-date introduction to statistical mechanics.
It offers a precise and mathematically rigorous formulation of the problems of statistical mechanics, as opposed to the non-rigorous discussion presented in most other works. It provides analytical tools needed to replace many of the cumbersome concepts and devices commonly used for establishing basic formulae, and it furnishes the mathematician with a logical step-by-step introduction, which will enable him to master the elements of statistical mechanics in the shortest possible time.
After a historical sketch, the author discusses the geometry and kinematics of the phase space, with the theorems of Liouville and Birkhoff; the ergodic problem (in the sense of replacing time averages by phase averages); the theory of probability; central limit theorem; ideal monatomic gas; foundation of thermodynamics, and dispersion and distribution of sum functions.
"An excellent introduction to the difficult and important discipline of Statistical Mechanics. It is clear, concise, and rigorous. There is a very good chapter on the ergodic theorem (with a complete proof ) and . . . a highly lucid chapter on statistical foundations of thermodynamics . . . useful to teachers . . . and to mathematicians." ― M. Kac, "Quarterly of Applied Mathematics. "