Statistical Fluid Mechanics, Volume I: Mechanics of Turbulence

Автор: Monin A.
Название: Statistical Fluid Mechanics, Volume II: Mechanics of Turbulence
ISBN: 0486458911 ISBN-13(EAN): 9780486458915
Издательство: Dover
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Цена: 33880.00 T
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Описание: "If ever a field needed a definitive book, it is the study of turbulence; if ever a book on turbulence could be called definitive, it is this book." -- Science
Written by two of Russia's most eminent and productive scientists in turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. The first volume begins with an outline of laminar and turbulent flow. The remainder of the book treats a variety of aspects of turbulence: its statistical and Lagrangian descriptions, shear flows near surfaces and free turbulence, the behavior of thermally stratified media, and diffusion.
Volume Two continues and concludes the presentation. Topics include spectral functions, homogeneous fields, isotropic random fields, isotropic turbulence, self-preservation hypotheses, spectral energy transfer, the Millionshchikov hypothesis, acceleration fields, equations for higher moments and the closure problem, and turbulence in a compressible fluid. Additional subjects include general concepts of the local structure of turbulence at high Reynolds numbers, the theory of fully developed turbulence, the propagation of electromagnetic and acoustic waves through a turbulent medium, and the twinkling of stars. The book closes with a discussion of the functional formulation of the problem of turbulence, presenting the equations for the characteristic functional and methods for their solution.

Автор: Khinchin, A. Ya.
Название: Mathematical Foundations of Statistical Mechanics
ISBN: 0486601471 ISBN-13(EAN): 9780486601472
Издательство: Dover
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Цена: 12370.00 T
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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. "

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: 16510.00 T
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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.