This book provides an introduction to applied statistical mechanics by considering physically realistic model and examples. It gives a simple and accessible introduction to theories of thermal fluctuation and diffusion, and goes on to apply them in a variety of physical contexts.
The first part of the book is devoted to processes in themal equilibrium,and considers linear systems. Starting with an introduction to the ideas underly the subject, the text then develops the subject, such as the fluctuation dissipation theorem, Fokker-Planck equations and the Kramers-Kroenig relations, are introduced in a natural way during the course of the exposition. The book goes on to expand the scope by including non equillibrium systems and also illustrates some simple nonlinear systems.
This book will be of interest to final-year undergraduate and granduate students studying statistical mechanics, plasma who wants an accessible introduction to the subject
1. Introduction
2. Elements of statistical analysis
3. Fluctuations in electric circuits
4. The fluctuation - dissipation theorem
5. The Kramers - Kronig relations
6. Brownian motion
7. Random walks
8. Density fluctuations in gases
9. A reference model
10. Markov processes
etc.