This book provides a mathematically rigorous treatment of statistical mechanics, suitable for students and researchers in physics and mathematics. The historical foundations of the subject are seamlessly combined with advanced mathematical techniques and modern applications from physics, providing readers with a balanced understanding of the field.
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.
Arvustused
'This is a book for physics students who want to see a more rigorous mathematical description of Statistical Mechanics, and for mathematics students who wish to understand the physical implications of its mathematical framework. The book bridges a gap between the two subjects and is written clearly and engagingly.' Daan Frenkel, University of Cambridge '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
Muu info
Provides a mathematically rigorous treatment of statistical mechanics, suitable for students and researchers in physics and mathematics.
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.
Fabien Paillusson is Associate Professor in the School of Engineering and Physical Sciences at the University of Lincoln. His research specialises in statistical mechanics and computational physics and he has over a decade of experience teaching statistical mechanics at both undergraduate and graduate level. He has previously held academic positions at the University of Cambridge, the University of Barcelona, and Durham University.
