Elementary Lectures in Statistical Mechanics

Elementary Lectures in Statistical Mechanics
Author: George D.J. Phillies
Publisher: Springer Science & Business Media
Total Pages: 441
Release: 2012-12-06
Genre: Science
ISBN: 1461212642

This textbook for graduates and advanced undergraduates in physics and physical chemistry covers the major areas of statistical mechanics and concludes with the level of current research. It begins with the fundamental ideas of averages and ensembles, focusing on classical systems described by continuous variables such as position and momentum, and using the ideal gas as an example. It then turns to quantum systems, beginning with diatomic molecules and working up through blackbody radiation and chemical equilibria. The discussion of equilibrium properties of systems of interacting particles includes such techniques as cluster expansions and distribution functions and uses non-ideal gases, liquids, and solutions. Dynamic behavior -- treated here more extensively than in other texts -- is discussed from the point of view of correlation functions. The text concludes with the problem of diffusion in a suspension of interacting hard spheres and what can be learned about such a system from scattered light. Intended for a one-semester course, the text includes several "asides" on topics usually omitted from introductory courses, as well as numerous exercises.

The Conceptual Foundations of the Statistical Approach in Mechanics

The Conceptual Foundations of the Statistical Approach in Mechanics
Author: Paul Ehrenfest
Publisher: Courier Corporation
Total Pages: 128
Release: 2014-11-12
Genre: Science
ISBN: 0486163148

Classic 1912 article reformulated the foundations of the statistical approach in mechanics. Largely still valid, the treatment covers older formulation of statistico-mechanical investigations, modern formulation of kineto-statistics of the gas model, and more. 1959 edition.

Statistical Physics

Statistical Physics
Author: A. Isihara
Publisher: Academic Press
Total Pages: 455
Release: 2013-09-11
Genre: Science
ISBN: 1483274101

Statistical Physics provides an introduction to the basic principles of statistical mechanics. Statistical mechanics is one of the fundamental branches of theoretical physics and chemistry, and deals with many systems such as gases, liquids, solids, and even molecules which have many atoms. The book consists of three parts. Part I gives the principles, with elementary applications to noninteracting systems. It begins with kinetic theory and discusses classical and quantum systems in equilibrium and nonequilibrium. In Part II, classical statistical mechanics is developed for interacting systems in equilibrium and nonequilibrium. Finally, in Part III, quantum statistics is presented to an extent which enables the reader to proceed to advanced many-body theories. This book is written for a one-year graduate course in statistical mechanics or a half-year course followed by a half-year course on related subjects, such as special topics and applications or elementary many-body theories. Efforts are made such that discussions of each subject start with an elementary level and end at an advanced level.

Statistical Physics

Statistical Physics
Author: Gregory H. Wannier
Publisher: Courier Corporation
Total Pages: 561
Release: 1987-01-01
Genre: Science
ISBN: 048665401X

Classic text combines thermodynamics, statistical mechanics, and kinetic theory in one unified presentation. Topics include equilibrium statistics of special systems, kinetic theory, transport coefficients, and fluctuations. Problems with solutions. 1966 edition.

An Introduction to Statistical Thermodynamics

An Introduction to Statistical Thermodynamics
Author: Terrell L. Hill
Publisher: Courier Corporation
Total Pages: 546
Release: 2012-06-08
Genre: Science
ISBN: 0486130908

Four-part treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics.

Statistical Mechanics in a Nutshell, Second Edition

Statistical Mechanics in a Nutshell, Second Edition
Author: Luca Peliti
Publisher: Princeton University Press
Total Pages: 577
Release: 2024-08-06
Genre: Science
ISBN: 0691248451

The essential introduction to modern statistical mechanics—now completely updated and expanded Statistical mechanics is one of the most exciting areas of physics today and has applications to subjects ranging from economics and social behavior to algorithmic theory and evolutionary biology. Statistical Mechanics in a Nutshell provides a self-contained introduction to this rapidly developing field. Starting with the basics of kinetic theory and requiring only a background in elementary calculus and mechanics, this concise book discusses the most important developments of recent decades and guides readers to the very threshold of today’s cutting-edge research. Features a new chapter on stochastic thermodynamics with an introduction to the thermodynamics of information—the first treatment of its kind in an introductory textbook Offers a more detailed account of numerical simulations, including simulated annealing and other accelerated Monte Carlo methods The chapter on complex systems now features an accessible introduction to the replica theory of spin glasses and the Hopfield theory of neural networks, with an emphasis on applications Provides a new discussion of defect-mediated transitions and their implications for two-dimensional melting An invaluable resource for graduate students and advanced undergraduates seeking a compact primer on the core ideas of statistical mechanics Solutions manual (available only to instructors)

Elementary Principles in Statistical Mechanics

Elementary Principles in Statistical Mechanics
Author: J. Willard Gibbs
Publisher: Courier Corporation
Total Pages: 228
Release: 2014-12-17
Genre: Science
ISBN: 0486789950

First book to unite the works of Clausius, Maxwell, Boltzmann, and the author himself. Gibbs' lucid advanced-level text remains a valuable collection of fundamental equations and principles. 1902 edition.

Problems in Thermodynamics and Statistical Physics

Problems in Thermodynamics and Statistical Physics
Author: Peter T. Landsberg
Publisher: Courier Corporation
Total Pages: 593
Release: 2014-07-16
Genre: Science
ISBN: 0486780759

Well respected and widely used, this volume presents problems and full solutions related to a wide range of topics in thermodynamics, statistical physics, and statistical mechanics. The text is intended for instructors, undergraduates, and graduate students of mathematics, physics, chemistry, and engineering. Twenty-eight chapters, each prepared by an expert, proceed from simpler to more difficult subjects. Similarly, the early chapters are easier than the later ones, making the book ideal for independent study. Subjects begin with the laws of thermodynamics and statistical theory of information and of ensembles, advancing to the ideal classical gases of polyatomic molecules, non-electrolyte liquids and solutions, and surfaces. Subsequent chapters explore imperfect classical and quantum gas, phase transitions, cooperative phenomena, Green function methods, the plasma, transport in gases and metals, Nyquist's theorem and its generalizations, stochastic methods, and many other topics.