Statistical Mechanics: International Series of Monographs in Natural Philosophy

Front Cover
Elsevier, Feb 21, 2017 - Science - 342 pages
Statistical Mechanics discusses the fundamental concepts involved in understanding the physical properties of matter in bulk on the basis of the dynamical behavior of its microscopic constituents. The book emphasizes the equilibrium states of physical systems. The text first details the statistical basis of thermodynamics, and then proceeds to discussing the elements of ensemble theory. The next two chapters cover the canonical and grand canonical ensemble. Chapter 5 deals with the formulation of quantum statistics, while Chapter 6 talks about the theory of simple gases. Chapters 7 and 8 examine the ideal Bose and Fermi systems. In the next three chapters, the book covers the statistical mechanics of interacting systems, which includes the method of cluster expansions, pseudopotentials, and quantized fields. Chapter 12 discusses the theory of phase transitions, while Chapter 13 discusses fluctuations. The book will be of great use to researchers and practitioners from wide array of disciplines, such as physics, chemistry, and engineering.
 

Contents

HISTORICAL INTRODUCTION
1
CHAPTER 1 THE STATISTICAL BASIS OF THERMODYNAMICS
9
CHAPTER 2 ELEMENTS OF ENSEMBLE THEORY
32
CHAPTER 3 THE CANONICAL ENSEMBLE
51
CHAPTER 4 THE GRAND CANONICAL ENSEMBLE
98
CHAPTER 5 FORMULATION OF QUANTUM STATISTICS
113
CHAPTER 6 THE THEORY OF SIMPLE GASES
136
CHAPTER 7 IDEAL BOSE SYSTEMS
175
THE METHOD OF CLUSTER EXPANSIONS
255
THE METHOD OF PSEUDOPOTENTIALS
300
THE METHOD OF QUANTIZED FIELDS
342
CHAPTER 12 THEORY OF PHASE TRANSITIONS
374
CHAPTER 13 FLUCTUATIONS
443
APPENDIXES
487
BIBLIOGRAPHY
511
INDEX
521

CHAPTER 8 IDEAL FERMI SYSTEMS
215

Other editions - View all

Common terms and phrases

About the author (2017)

Professor Raj Kumar Pathria is a theoretical physicist and an Urdu poet. He is known for his work on superfluidity in liquid helium, Lorentz transformation of thermodynamic quantities, a rigorous evaluation of lattice sums, and finite-size effects in phase transitions. Pathria obtained his BSc Honours degree in 1953 and MSc Honours degree in 1954 from Panjab University, Hoshiarpur, and earned a Ph.D. in Physics from University of Delhi in 1957. He has served on the physics faculties of the University of Delhi (1958-1964), McMaster University (1964-1965), University of Alberta (1965-1967), Panjab University, Chandigarh (1967-1969), and the University of Waterloo (1969-1998). After retirement, he moved to California to be close to family, and joined the faculty of the University of California San Diego as an adjunct professor of physics in 2000. The University of Waterloo honored him with both the Distinguished Teacher Award and the title Distinguished Professor Emeritus, and he is a Fellow of the American Physical Society. Raj is the author of over one-hundred published papers and two textbooks. The Theory of Relativity was first published in 1963 by Hindustan Publishing, with the second edition published by Pergamon Press, Oxford. This latter edition was republished by Dover Press in 2003. His widely used graduate physics textbook Statistical Mechanics is now in its fourth edition. It was originally published by Pergamon Press in 1974, with the second through fourth editions published by Elsevier in 1996, 2011, and 2021. Paul Beale joined Raj as coauthor of the third edition and fourth editions. Raj was nurtured in an atmosphere of Urdu language, idiom, and poetry. He published a compilation of his Urdu poems in Saihraa Saihraa, published under the pseudonym Raj Kumar Qais. The title means ‘desert after desert’ after the unending wanderings of Qais, the fabled lover of the Arabian damsel Laila. Raj is married to Raj Kumari Pathria. They have three children and five grandchildren.

Bibliographic information