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 xii
... ISING MODEL , 329 16.1 Definition of the Ising Model , 329 16.2 Equivalence of the Ising Model to Other Models , 332 16.3 Bragg - Williams Approximation , 336 16.4 Bethe - Peierls Approximation , 341 16.5 One - Dimensional Ising Model ...
... ISING MODEL , 329 16.1 Definition of the Ising Model , 329 16.2 Equivalence of the Ising Model to Other Models , 332 16.3 Bragg - Williams Approximation , 336 16.4 Bethe - Peierls Approximation , 341 16.5 One - Dimensional Ising Model ...
Page 332
... ISING MODEL TO OTHER MODELS By a change of names the Ising model can be made to simulate other systems than a ferromagnet . Among these are a lattice gas and a binary alloy . Lattice Gas A lattice gas is a collection of atoms whose ...
... ISING MODEL TO OTHER MODELS By a change of names the Ising model can be made to simulate other systems than a ferromagnet . Among these are a lattice gas and a binary alloy . Lattice Gas A lattice gas is a collection of atoms whose ...
Page 349
Kerson Huang. chapter 17 THE ONSAGER SOLUTION 17.1 FORMULATION OF TWO - DIMENSIONAL ISING MODEL Matrix Formulation We formulate the two - dimensional Ising model in terms of matrices as a preliminary step towards an exact solution of the ...
Kerson Huang. chapter 17 THE ONSAGER SOLUTION 17.1 FORMULATION OF TWO - DIMENSIONAL ISING MODEL Matrix Formulation We formulate the two - dimensional Ising model in terms of matrices as a preliminary step towards an exact solution of the ...
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