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Statistical mechanics and applications in condensed matter / Carlo Di Castro and Roberto Raimondi.

By: Di Castro, Carlo [author].
Contributor(s): Raimondi, Roberto [author].
Material type: TextTextPublisher: Cambridge : Cambridge University Press, 2015Description: xv, 531 p. : illustrations ; 26 cm.ISBN: 9781107039407.Subject(s): Statistical mechanics | Condensed matter | Thermodynamics | Many-body problemDDC classification: 530.41
Contents:
1. Thermodynamics: a brief overview; 2. Kinetics; 3. From Boltzmann to Gibbs; 4. More ensembles; 5. The thermodynamic limit and its thermodynamic stability; 6. Density matrix and quantum statistical mechanics; 7. The quantum gases; 8. Mean-field theories and critical phenomena; 9. Second quantization and Hartree-Fock approximation; 10. Linear response and fluctuation-dissipation theorem in quantum systems: equilibrium and small deviations; 11. Brownian motion and transport in disordered systems; 12. Fermi liquids; 13. The Landau theory of the second order phase transitions; 14. The Landau-Wilson model for critical phenomena; 15. Superfluidity and superconductivity; 16. The scaling theory; 17. The renormalization group approach; 18. Thermal Green functions; 19. The microscopic foundations of Fermi liquids; 20. The Luttinger liquid; 21. Quantum interference effects in disordered electron systems; Appendix A. The central limit theorem; Appendix B. Some useful properties of the Euler Gamma function; Appendix C. Proof of the second theorem of Yang and Lee; Appendix D. The most probable distribution for the quantum gases; Appendix E. Fermi-Dirac and Bose-Einstein integrals; Appendix F. The Fermi gas in a uniform magnetic field: Landau diamagnetism; Appendix G. Ising and gas-lattice models; Appendix H. Sum over discrete Matsubara frequencies; Appendix I. Hydrodynamics of the two-fluid model of superfluidity; Appendix J. The Cooper problem in the theory of superconductivity; Appendix K. Superconductive fluctuations phenomena; Appendix L. Diagrammatic aspects of the exact solution of the Tomonaga Luttinger model; Appendix M. Details on the theory of the disordered Fermi.
Summary: This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
530.41 D545 (Browse shelf) Available 137129
Total holds: 0

"This volume is based on a series of lectures we have given along the decades at the undergraduate, graduate, postgraduate and postdoctoral level"--Preface.

Includes bibliographical references and index.

1. Thermodynamics: a brief overview;
2. Kinetics;
3. From Boltzmann to Gibbs;
4. More ensembles;
5. The thermodynamic limit and its thermodynamic stability;
6. Density matrix and quantum statistical mechanics;
7. The quantum gases;
8. Mean-field theories and critical phenomena;
9. Second quantization and Hartree-Fock approximation;
10. Linear response and fluctuation-dissipation theorem in quantum systems: equilibrium and small deviations;
11. Brownian motion and transport in disordered systems;
12. Fermi liquids;
13. The Landau theory of the second order phase transitions; 14. The Landau-Wilson model for critical phenomena;
15. Superfluidity and superconductivity;
16. The scaling theory;
17. The renormalization group approach;
18. Thermal Green functions;
19. The microscopic foundations of Fermi liquids;
20. The Luttinger liquid;
21. Quantum interference effects in disordered electron systems;
Appendix A. The central limit theorem;
Appendix B. Some useful properties of the Euler Gamma function;
Appendix C. Proof of the second theorem of Yang and Lee; Appendix D. The most probable distribution for the quantum gases;
Appendix E. Fermi-Dirac and Bose-Einstein integrals;
Appendix F. The Fermi gas in a uniform magnetic field: Landau diamagnetism;
Appendix G. Ising and gas-lattice models;
Appendix H. Sum over discrete Matsubara frequencies; Appendix I. Hydrodynamics of the two-fluid model of superfluidity;
Appendix J. The Cooper problem in the theory of superconductivity;
Appendix K. Superconductive fluctuations phenomena; Appendix L. Diagrammatic aspects of the exact solution of the Tomonaga Luttinger model;
Appendix M. Details on the theory of the disordered Fermi.

This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research.

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