The Green Function Method in Statistical Mechanics

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
Наличие на складе: Невозможна поставка.
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: Monin A.
Название: Statistical Fluid Mechanics, Volume I: Mechanics of Turbulence
ISBN: 0486458830 ISBN-13(EAN): 9780486458830
Издательство: Dover
Рейтинг:
Цена: 33050.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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 working in the fields of turbulence, oceanography, and atmospheric physics, this two-volume survey is renowned for its clarity as well as its comprehensive treatment. Volume One 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: Baxter Rodney
Название: Exactly Solved Models in Statistical Mechanics
ISBN: 0486462714 ISBN-13(EAN): 9780486462714
Издательство: Dover
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Цена: 22290.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text explores two-dimensional lattice models in statistical mechanics and illustrates methods for their solution. Comprehensive but concise, it indicates the routes between equations without superfluous details. Author R. J. Baxter is a fellow of the Royal Society of London and the Australian Academy of Science, as well as Emeritus Professor of the Mathematical Sciences Institute at Australian National University, Canberra. Professor Baxter has updated this edition with a new chapter covering recent developments.
Starting with a survey of basic statistical mechanics, the treatment proceeds to examinations of the one-dimensional Ising model, the mean field model, the Ising model on the Bethe lattice, and the spherical model. Subsequent chapters address duality and star-triangle transforms of planar Ising models, the square-lattice Ising model, ice-type models, and the square lattice eight-vertex model. Additional topics include the Kagome lattice eight-vertex model, Potts and Ashkin-Teller models, Corner transfer matrices, hard hexagon and related models, and elliptic functions. Seventy-six figures illuminate the text.

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
Наличие на складе: Есть у поставщика Поставка под заказ.
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. "