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Elementary Lectures in Statistical Mechanics

✍ Scribed by George D. J. Phillies (auth.)


Publisher
Springer-Verlag New York
Year
2000
Tongue
English
Leaves
441
Series
Graduate Texts in Contemporary Physics
Edition
1
Category
Library

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✦ Synopsis


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 sophisΒ­ ticated) undergraduate or (relatively straightforward) graduate text for physics students. It should also be suitable as a graduate text for physical chemistry stuΒ­ 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.

✦ Table of Contents


Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Introduction....Pages 3-10
Averaging and Statistics....Pages 11-27
Ensembles: Fundamental Principles of Statistical Mechanics....Pages 28-38
The One-Atom Ideal Gas....Pages 39-54
The Two-Atom Ideal Gas....Pages 55-58
N-Atom Ideal Gas....Pages 59-79
Pressure of an Ideal Gas....Pages 80-89
How Do Thermometers Work?β€”The Polythermal Ensemble....Pages 90-97
Formal Manipulations of the Partition Function....Pages 98-110
Gibbs’s Derivation of Q=exp(β€”Ξ²A)....Pages 111-114
Entropy....Pages 115-122
Open Systems; Grand Canonical Ensemble....Pages 123-137
Front Matter....Pages 139-139
The Diatomic Gas and Other Separable Quantum Systems....Pages 141-156
Crystalline Solids....Pages 157-168
Quantum Mechanics....Pages 169-179
Formal Quantum Statistical Mechanics....Pages 180-189
Quantum Statistics....Pages 190-207
Kirkwood-Wigner Theorem....Pages 208-214
Chemical Equilibria....Pages 215-222
Front Matter....Pages 223-223
Interacting Particles....Pages 225-232
Front Matter....Pages 223-223
Cluster Expansions....Pages 233-239
Ξ via the Grand Canonical Ensemble....Pages 240-249
Evaluating Cluster Integrals....Pages 250-263
Distribution Functions....Pages 264-275
More Distribution Functions....Pages 276-281
Electrolyte Solutions, Plasmas, and Screening....Pages 282-288
Front Matter....Pages 289-289
Correlation Functions....Pages 291-301
Stability of the Canonical Ensemble....Pages 302-319
The Central Limit Theorem....Pages 320-327
The Langevin Equation....Pages 328-338
The Langevin Model and Diffusion....Pages 339-346
Projection Operators and the Mori-Zwanzig Formalism....Pages 347-364
Linear Response Theory....Pages 365-371
Front Matter....Pages 373-373
Scattering of Light, Neutrons, X-Rays, and Other Radiation....Pages 375-387
Diffusion of Interacting Particles....Pages 388-400
Interacting Particle Effects....Pages 401-412
Hidden Correlations....Pages 413-422
Back Matter....Pages 423-431

✦ Subjects


Physics, general


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