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 144
... coordinates and momenta of the particles contained in the two subsystems . Let us first imagine that the two subsystems are isolated from each other and consider the microcanonical ensemble for each taken alone . Let the energy of the ...
... coordinates and momenta of the particles contained in the two subsystems . Let us first imagine that the two subsystems are isolated from each other and consider the microcanonical ensemble for each taken alone . Let the energy of the ...
Page 304
... coordinates r1 , ... , Ty have such values that they can be divided into two groups containing respectively A and B coordinates , with the property that any two co- ordinates r , and r , belonging to different groups must satisfy the ...
... coordinates r1 , ... , Ty have such values that they can be divided into two groups containing respectively A and B coordinates , with the property that any two co- ordinates r , and r , belonging to different groups must satisfy the ...
Page 306
... coordinates . Let us make use of the formula ( 14.44 ) . An integration over all the coordinates will yield the same result for every term in the sum Ep . Thus the result of the integration is the number of terms in the sum Σ , times ...
... coordinates . Let us make use of the formula ( 14.44 ) . An integration over all the coordinates will yield the same result for every term in the sum Ep . Thus the result of the integration is the number of terms in the sum Σ , times ...
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