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 88
... theorem that dH / dt ≤ 0 at all times . The correct statement of the H theorem , as given in the last section , is free from such objections . We mention these " paradoxes " purely for historical interest . The " reversal paradox " is ...
... theorem that dH / dt ≤ 0 at all times . The correct statement of the H theorem , as given in the last section , is free from such objections . We mention these " paradoxes " purely for historical interest . The " reversal paradox " is ...
Page 463
... theorem . C.3 THEOREM 2 OF YANG AND LEE THEOREM 2. Let R be a region in the complex z plane that contains a segment of the positive real axis and contains no root of the equation ... Theorems of Yang and Lee 463 Theorem 2 of Yang and Lee,
... theorem . C.3 THEOREM 2 OF YANG AND LEE THEOREM 2. Let R be a region in the complex z plane that contains a segment of the positive real axis and contains no root of the equation ... Theorems of Yang and Lee 463 Theorem 2 of Yang and Lee,
Page 464
... theorem 1 it approaches a limit as V → ∞ . The desired theorem holds in the circle D , by virtue of Vitali's con- vergence theorem . * Within the region R construct a circle D ' whose center lies in D. Since we have proved the theorem ...
... theorem 1 it approaches a limit as V → ∞ . The desired theorem holds in the circle D , by virtue of Vitali's con- vergence theorem . * Within the region R construct a circle D ' whose center lies in D. Since we have proved the theorem ...
Contents
THE LAWS OF THERMODYNAMICS | 3 |
SOME APPLICATIONS OF THERMODYNAMICS | 33 |
THE PROBLEM OF KINETIC THEORY | 55 |
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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