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Equilibrium statistical mechanics of lattice models / David A. Lavis.

By: Material type: TextTextSeries: Theoretical and mathematical physicsPublication details: New York : Springer, 2015.Description: xvii, 793 p. : illustrations ; 24 cmISBN:
  • 9789401794299
Subject(s): DDC classification:
  • 530.13 23 L413
Contents:
1. Thermodynamics, 2. Statistical mechanics ; 3. A survey of models ; 4. Phase transitions and scaling theory -- 5. Phenomenological theory and Landau expansions ; 6. Mean-field theory ; 7. Cluster variation methods -- 8. Algebraic methods ; 9. Transformation methods ; 10. Edge-decorated Ising models ; 11. Transfer matrices : incipient phase transitions ; 12. Transfer matrices : exactly solved models ; 13. Dimer models -- 14. Series expansions ; 15. Real-space renormalization group theory -- 16. Graphs and latices ; 17. Algebra ; 18. Analysis.
Summary: Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models.
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Includes bibliographical references and index.

1. Thermodynamics,
2. Statistical mechanics ;
3. A survey of models ;
4. Phase transitions and scaling theory --
5. Phenomenological theory and Landau expansions ;
6. Mean-field theory ;
7. Cluster variation methods --
8. Algebraic methods ;
9. Transformation methods ;
10. Edge-decorated Ising models ;
11. Transfer matrices : incipient phase transitions ;
12. Transfer matrices : exactly solved models ;
13. Dimer models --
14. Series expansions ;
15. Real-space renormalization group theory --
16. Graphs and latices ;
17. Algebra ;
18. Analysis.

Most interesting and difficult problems in equilibrium statistical mechanics concern models which exhibit phase transitions. For graduate students and more experienced researchers this book provides an invaluable reference source of approximate and exact solutions for a comprehensive range of such models.

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