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E-raamat: Elementary Lectures in Statistical Mechanics

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This volume is based on courses on Statistical Mechanics which I have taught for many years at the Worcester Polytechnic Institute. My objective is to treat classical statistical mechanics and its modem applications, especially interacting particles, correlation functions, and time-dependent phenomena. My development is based primarily on Gibbs's ensemble formulation. Elementary Lectures in Statistical Mechanics is meant as a (relatively sophis­ ticated) undergraduate or (relatively straightforward) graduate text for physics students. It should also be suitable as a graduate text for physical chemistry stu­ dents. Physicists may find my treatment of algebraic manipulation to be more explicit than some other volumes. In my experience some of our colleagues are perhaps a bit over-enthusiastic about the ability or tendency of our students to complete gaps in the derivations. I emphasize a cyclic development of major themes. I could have begun with a fully detailed formal treatment of ensemble mechanics, as found in Gibbs's volume, and then given material realizations. I instead interleave formal discussions with simple concrete models. The models illustrate the formal definitions. The approach here gives students a chance to identify fundamental principles and methods before getting buried in ancillary details.

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MATHEMATICAL REVIEWS "Critical depth and vivid presentation of concepts are the best qualities of this textbook, which can be recommended for an introductory course in statistical mechanics

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Springer Book Archives
I Fundamentals: Separable Classical Systems.- Lecture
1. Introduction.-
Lecture
2. Averaging and Statistics.- Lecture
3. Ensembles: Fundamental
Principles of Statistical Mechanics.- Lecture
4. The One-Atom Ideal Gas.-
Aside A. The Two-Atom Ideal Gas.- Lecture
5. N-Atom Ideal Gas.- Lecture
6.
Pressure of an Ideal Gas.- Aside B. How Do Thermometers WorkThe Polythermal
Ensemble.- Lecture
7. Formal Manipulations of the Partition Function.- Aside
C. Gibbss Derivation of.- Lecture
8. Entropy.- Lecture
9. Open Systems;
Grand Canonical Ensemble.- II Separable Quantum Systems.- Lecture
10. The
Diatomic Gas and Other Separable Quantum Systems.- Lecture
11. Crystalline
Solids.- Aside D. Quantum Mechanics.- Lecture
12. Formal Quantum Statistical
Mechanics.- Lecture
13. Quantum Statistics.- Aside E. Kirkwood-Wigner
Theorem.- Lecture
14. Chemical Equilibria.- III Interacting Particles and
Cluster Expansions.- Lecture
15. Interacting Particles.- Lecture
16. Cluster
Expansions.- Lecture
17. ? via the Grand Canonical Ensemble.- Lecture
18.
Evaluating Cluster Integrals.- Lecture
19. Distribution Functions.- Lecture
20. More Distribution Functions.- Lecture
21. Electrolyte Solutions, Plasmas,
and Screening.- IV Correlation Functions and Dynamics.- Lecture
22.
Correlation Functions.- Lecture
23. Stability of the Canonical Ensemble.-
Aside F. The Central Limit Theorem.- Lecture
24. The Langevin Equation.-
Lecture
25. The Langevin Model and Diffusion.- Lecture
26. Projection
Operators and the Mori-Zwanzig Formalism.- Lecture
27. Linear Response
Theory.- V A Research Problem.- Aside G. Scattering of Light, Neutrons,
X-Rays, and Other Radiation.- Lecture
28. Diffusion of Interacting
Particles.- Lecture
29. Interacting Particle Effects.- Lecture
30. Hidden
Correlations.
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