Statistical Mechanics for Physicists and Mathematicians

Provides a mathematically rigorous treatment of statistical mechanics, suitable for students and researchers in physics and mathematics.

Fabien Paillusson (Author)

9781009461634, Cambridge University Press

Hardback, published 14 August 2025

354 pages
25.4 x 17.8 x 2.1 cm, 0.882 kg

'The book is an interesting introduction to Statistical Mechanics and an excellent read for the mathematically inclined. The author is to be admired for the thoroughness of his treatment of the mathematical foundation of the field, and the book will be most useful for students and lecturers in physics and mathematics.' Dick Bedeaux, Norwegian University of Science and Technology

Statistical mechanics employs the power of probability theory to shine a light upon the invisible world of matter's fundamental constituents, allowing us to accurately model the macroscopic physical properties of large ensembles of microscopic particles. This book delves into the conceptual and mathematical foundations of statistical mechanics to enhance understanding of complex physical systems and thermodynamic phenomena, whilst also providing a solid mathematical basis for further study and research in this important field. Readers will embark on a journey through important historical experiments in statistical physics and thermodynamics, exploring their intersection with modern applications, such as the thermodynamics of stars and the entropy associated with the mixing of two substances. An invaluable resource for students and researchers in physics and mathematics, this text provides numerous worked examples and exercises with full solutions, reinforcing key theoretical concepts and offering readers deeper insight into how these powerful tools are applied.

Preface
List of mathematical symbols
1. What is statistical mechanics for?
2. Probability theory
3. Gibbs statistical mechanics
4. Connecting thermodynamics with statistical mechanics
5. Quantum statistical mechanics
6. Quantum statistical mechanics for systems of identical particles
7. Introduction to the thermodynamical and statistical descriptions of phase transitions.

Subject Areas: Statistical physics [PHS]