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 * V2 dNo ( Q ) | v1 — V2 \ ( ƒ1⁄2'fi ' — f1⁄2f1 ) ( 1 + logf1 ) ( 4.8 ) d = fdv , fd v2 dH dt ...
... satisfies the Boltzmann transport equation , then dH ( t ) dt ≤0 ( 4.7 ) Proof . Substituting ( 4.4 ) into the integrand of ( 4.5 ) we have * V2 dNo ( Q ) | v1 — V2 \ ( ƒ1⁄2'fi ' — f1⁄2f1 ) ( 1 + logf1 ) ( 4.8 ) d = fdv , fd v2 dH dt ...
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 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 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 |
4 | 46 |
Copyright | |
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absolute zero approximation atoms average Boltzmann transport equation Bose gas bosons boundary condition calculate classical collision consider constant coordinates corresponds d³r d³v defined denoted density derivation distribution function E₁ eigenvalues energy levels entropy equilibrium excited Fermi gas fermions finite given grand canonical ensemble Hamiltonian hard-sphere Helmholtz free energy Hence ideal Bose gas ideal gas independent integral interaction Ising model isotherm lattice law of thermodynamics liquid He¹ log 2(z macroscopic magnetic matrix elements Maxwell-Boltzmann distribution microcanonical ensemble molecular chaos molecules momentum N₁ N₂ number of particles obtain occupation numbers P₁ partition function phase transition phonons potential pressure pseudopotentials r₁ second law shown in Fig sinh solution specific heat spin statistical mechanics superfluid T-space T₁ temperature theorem transformation V₁ V₂ valid vector velocity volume wave function ди др