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 69
... satisfies the Boltzmann transport equation , then dH ( t ) dt ≤0 ( 4.7 ) Proof . Substituting ( 4.4 ) into the integrand of ( 4.5 ) we have * dH -- [ No ( N ) | v1 ƒ2f1 ) ( 1 - d = fd ° v , fd ° v , fd £ 20 ( 82 ) 1v , — v2 \ ( fifi ...
... satisfies the Boltzmann transport equation , then dH ( t ) dt ≤0 ( 4.7 ) Proof . Substituting ( 4.4 ) into the integrand of ( 4.5 ) we have * dH -- [ No ( N ) | v1 ƒ2f1 ) ( 1 - d = fd ° v , fd ° v , fd £ 20 ( 82 ) 1v , — v2 \ ( fifi ...
Page 220
... satisfies the boundary conditions and the symmetries of the system . This principle can be used to find an upper bound of the ground state energy . We shall describe a similar principle for the Helmholtz free energy of a system . It is ...
... satisfies the boundary conditions and the symmetries of the system . This principle can be used to find an upper bound of the ground state energy . We shall describe a similar principle for the Helmholtz free energy of a system . It is ...
Page 456
... satisfies everywhere , and solve it under the same boundary condition as for ( B.1 ) . 2 = 0 To find the equation that y ( r ) satisfies everywhere , let us calculate the quantity ( 2 + k2 ) ( Yımım ) . It is clear that ( 72 + k2 ) ...
... satisfies everywhere , and solve it under the same boundary condition as for ( B.1 ) . 2 = 0 To find the equation that y ( r ) satisfies everywhere , let us calculate the quantity ( 2 + k2 ) ( Yımım ) . It is clear that ( 72 + k2 ) ...
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