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 299
... graph , defined as follows : An N - particle graph is a collection of N distinct circles numbered 1 , 2 , ... , N , with any number of lines joining the same number of distinct pairs of circles . If the distinct pairs joined by lines ...
... graph , defined as follows : An N - particle graph is a collection of N distinct circles numbered 1 , 2 , ... , N , with any number of lines joining the same number of distinct pairs of circles . If the distinct pairs joined by lines ...
Page 301
... graph that contains m1 1 - clusters , m2 2 - clusters , etc .; e.g. , • { [ 0 ] · · · [ 0 ] } { [ 0—0 ] · • [ 0-0 ] } m1 factors mą factors ( LIAIL ] -- · - [ 2 ] ) ... ms factors ( 14.20 ) There are exactly N circles appearing in ...
... graph that contains m1 1 - clusters , m2 2 - clusters , etc .; e.g. , • { [ 0 ] · · · [ 0 ] } { [ 0—0 ] · • [ 0-0 ] } m1 factors mą factors ( LIAIL ] -- · - [ 2 ] ) ... ms factors ( 14.20 ) There are exactly N circles appearing in ...
Page 390
... graph . For kr 。 1 , such a graph is shown in Fig . 18.9 . The factor Σcos ( kx ; ) is zero when the particles are uniformly distributed , for then kx , tends to be random , but the factor o becomes zero when any two particles " touch ...
... graph . For kr 。 1 , such a graph is shown in Fig . 18.9 . The factor Σcos ( kx ; ) is zero when the particles are uniformly distributed , for then kx , tends to be random , but the factor o becomes zero when any two particles " touch ...
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