Elements of Statistical Mechanics With an Introduction to Quantum Field Theory and Numerical Simulation

A concise textbook introducing key concepts, tools and applications of modern statistical mechanics.

This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

Preface; List of fundamental physical constraints; 1. The problem; 2. Statistical mechanics; 3. Variations of a theme; 4. Handling interactions; 5. Monte Carlo integration; 6. Numerical molecular dynamics; 7. Quantum statistical mechanics; 8. Astrophysics; 9. Non-relativistic quantum field theory; 10. Superfluidity; 11. Path integrals; 12. A second look; 13. Phase transitions and the renormalization group; Index.

A concise introduction to key concepts and tools of statistical mechanics. Self-contained, it combines analytical and numerical techniques, and presents a diverse range of applications. Built on many years' teaching experience, this textbook is ideal for advanced students across the physical sciences.