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This text introduces applied statistical mechanics by considering physically realistic models. After an accessible introduction to theories of thermal fluctuations and diffusion, Hans Pecseli applies them in a variety of physical contexts. The first part of the book is devoted to processes in thermal equilibrium, and considers linear systems. The fluctuation dissipation theorem, Fokker-Planck equations, and the Kramers-Kroenig relations are introduced during the course of the exposition. The scope is then expanded to include nonequilibrium systems and also illustrates simple nonlinear systems.Read more
- Applications of mathematical methods are illustrated by practical examples
- Contains nearly 100 exercises
- Could be used by lecturers in the preparation of problems for tests and exams
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- Date Published: August 2000
- format: Paperback
- isbn: 9780521655927
- length: 202 pages
- dimensions: 244 x 170 x 11 mm
- weight: 0.33kg
- contains: 41 b/w illus. 73 exercises
- availability: Available
Table of Contents
2. Elements of statistical analysis
3. Fluctuations in electric circuits
4. The fluctuation-dissipation theorem
5. The Kramers–Kronig relation
6. Brownian motion
7. Random walk
8. Density fluctuations in gases
9. A reference model
10. Markov processes
11. Diffusion of particles
12. Thermal fluctuations in a diode
Appendix A. The binomial distribution
Appendix B. The Poisson distribution
Appendix C. The gaussian distribution
Appendix D. Dirac's d-function
Appendix E. Physical constants
Appendix F. The MKSA-units.
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