Statistical MechanicsUnlike most other texts on the subject, this clear, concise introduction to the theory of microscopic bodies treats the modern theory of critical phenomena. Provides up-to-date coverage of recent major advances, including a self-contained description of thermodynamics and the classical kinetic theory of gases, interesting applications such as superfluids and the quantum Hall effect, several current research applications, The last three chapters are devoted to the Landau-Wilson approach to critical phenomena. Many new problems and illustrations have been added to this edition. |
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Page 84
Kerson Huang. The derivation of the Maxwell - Boltzmann distribution presented here is independent of the earlier derivation based on the Boltzmann transport equation . Neither of these derivations is rigorous . In the present one there ...
Kerson Huang. The derivation of the Maxwell - Boltzmann distribution presented here is independent of the earlier derivation based on the Boltzmann transport equation . Neither of these derivations is rigorous . In the present one there ...
Page 202
... derivations . It merely furnishes an orientation on the subject of the derivation of statistical mechanics from molecular dynamics . * It is recalled that a special case of statistical mechanics , the classical kinetic theory of gases ...
... derivations . It merely furnishes an orientation on the subject of the derivation of statistical mechanics from molecular dynamics . * It is recalled that a special case of statistical mechanics , the classical kinetic theory of gases ...
Page 206
... derivation holds equally well in quantum and in classical statisti- cal mechanics . We want to present here a more rigorous derivation that avoids the use of Sterling's approximation , which is necessary in the usual derivation of the ...
... derivation holds equally well in quantum and in classical statisti- cal mechanics . We want to present here a more rigorous derivation that avoids the use of Sterling's approximation , which is necessary in the usual derivation of the ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
Copyright | |
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absolute zero approximation assume assumption atoms average becomes Boltzmann Bose calculate called canonical ensemble classical collision complete condition consider constant contains coordinates corresponds defined definition denoted density depends derivation determined discussion distribution effect eigenvalues elements energy ensemble entropy equal equation equilibrium excited exists expansion external fact Fermi field finite given ground Hamiltonian heat Hence ideal independent integral interaction lattice levels limit liquid magnetic mass matrix mean molecular molecules momentum n₁ obtain occupation operator particles partition function phase physical positive possible potential pressure probability problem properties quantity quantum quantum mechanics region represented respectively result satisfies shown in Fig solution specific statistical mechanics temperature theorem theory thermodynamic transformation transition unit V₁ V₂ valid volume wave function