Statistical Mechanics

Paperback | February 28, 2011

byR K Pathria, Paul D. BealeEditorR K Pathria

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Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transitions, and computer simulations. This edition includes new topics such as BoseEinstein condensation and degenerate Fermi gas behavior in ultracold atomic gases and chemical equilibrium. It also explains the correlation functions and scattering; fluctuationdissipation theorem and the dynamical structure factor; phase equilibrium and the Clausius-Clapeyron equation; and exact solutions of one-dimensional fluid models and two-dimensional Ising model on a finite lattice. New topics can be found in the appendices, including finite-size scaling behavior of Bose-Einstein condensates, a summary of thermodynamic assemblies and associated statistical ensembles, and pseudorandom number generators. Other chapters are dedicated to two new topics, the thermodynamics of the early universe and the Monte Carlo and molecular dynamics simulations. This book is invaluable to students and practitioners interested in statistical mechanics and physics. -Bose-Einstein condensation in atomic gases -Thermodynamics of the early universe -Computer simulations: Monte Carlo and molecular dynamics -Correlation functions and scattering -Fluctuation-dissipation theorem and the dynamical structure factor -Chemical equilibrium -Exact solution of the two-dimensional Ising model for finite systems -Degenerate atomic Fermi gases -Exact solutions of one-dimensional fluid models -Interactions in ultracold Bose and Fermi gases -Brownian motion of anisotropic particles and harmonic oscillators

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From the Publisher

Statistical Mechanics explores the physical properties of matter based on the dynamic behavior of its microscopic constituents. After a historical introduction, this book presents chapters about thermodynamics, ensemble theory, simple gases theory, Ideal Bose and Fermi systems, statistical mechanics of interacting systems, phase transi...

Format:PaperbackDimensions:744 pages, 9.25 × 7.5 × 0.68 inPublished:February 28, 2011Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0123821886

ISBN - 13:9780123821881

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Table of Contents

Historical introduction; The statistical basis of thermodynamics; Elements of the ensemble theory; The canonical ensemble; The grand canonical ensemble; Formulation of quantum statistics; The theory of simple gases; Ideal Bose systems; Ideal Fermi systems; Statistical mechanics of interacting systems: The method of cluster expansions, the method of quantized fields; Phase transitions: critically, universality and scaling, exact (or almost exact) results for the various models, the renormalization group approach; Fluctuations.

Editorial Reviews

'This is an excellent book from which to learn the methods and results of statistical mechanics.'
Nature

'A well written graduate-level text for scientists and engineers... Highly recommended for graduate-level libraries.'
Choice

'This book provides a very clear exposition of the main ideas and
techniques of statistical physics.'
ZENTRALBLATT FUR MATHEMATIK, FEB '97