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 78
... distribution function . A given distribution function therefore corresponds not to a point but to a volume in T - space . The volume in П - space corresponding to a given distribution function f is called the volume occupied by f ...
... distribution function . A given distribution function therefore corresponds not to a point but to a volume in T - space . The volume in П - space corresponding to a given distribution function f is called the volume occupied by f ...
Page 84
... distribution because it reveals more clearly the statistical nature of the ... function f ( v , t ) , H is defined by H = = Sd3vƒ ( v , [ d3v ƒ ( v , 1 ) ... distribution . dt The proof of the theorem given earlier is rigorous in the ...
... distribution because it reveals more clearly the statistical nature of the ... function f ( v , t ) , H is defined by H = = Sd3vƒ ( v , [ d3v ƒ ( v , 1 ) ... distribution . dt The proof of the theorem given earlier is rigorous in the ...
Page 86
... distribution function of the gas is almost always essentially Maxwell - Boltzmann , i.e. , a distribution function contained within the peak shown in Fig . 4.4 . The curve of H as a function of time consists mostly of microscopic ...
... distribution function of the gas is almost always essentially Maxwell - Boltzmann , i.e. , a distribution function contained within the peak shown in Fig . 4.4 . The curve of H as a function of time consists mostly of microscopic ...
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