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Statistical Mechanics and Applications in Condensed Matter

$82.00 (P)

textbook
  • Date Published: October 2015
  • availability: In stock
  • format: Hardback
  • isbn: 9781107039407

$ 82.00 (P)
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About the Authors
  • 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. Written by internationally renowned experts and logically structured to cater for undergraduate and postgraduate students and researchers, it covers the underlying theoretical principles and includes numerous problems and worked examples to put this knowledge into practice. Three main streams provide a framework for the book; beginning with thermodynamics and classical statistical mechanics, including mean field approximation, fluctuations and the renormalization group approach to critical phenomena. The authors then examine quantum statistical mechanics, covering key topics such as normal Fermi and Luttinger liquids, superfluidity and superconductivity. Finally, they explore classical and quantum kinetics, Anderson localization and quantum interference, and disordered Fermi liquids. Unique in providing a bridge between thermodynamics and advanced topics in condensed matter, this textbook is an invaluable resource to all students of physics.

    • Fully adaptable for courses at different levels due to the modular format
    • Uniquely combines two disparate fields of study; classical statistical mechanics and condensed matter physics in one coherent textbook
    • Includes extensive problems and worked examples to guide students through the practical use of the theories described
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    Reviews & endorsements

    "… a coherent presentation of classical thermodynamics and statistical physics on [the] one hand, and more recent developments and the front of contemporary research on the other … it [is] well suited for students and graduates as well as researchers. I recommend it!"
    Peter Fulde, Max Planck Institute for the Physics of Complex Systems, Dresden

    "An excellent textbook which starts from the basics, classical thermodynamics and quantum statistical mechanics, and proceeds to an insightful exposition of a wide range of modern topics."
    Maurice Rice, Institute for Theoretical Physics, ETH Zurich

    "With its exceptionally broad range of topics, from basic theoretical techniques to numerous applications, ranging from phase transitions to quantum gases and disordered electron systems, this textbook is a most valuable asset for the condensed matter community. Two renowned experts have conflated their expertise, for the benefit of students and researchers alike."
    Ulrich Eckern, University of Augsburg

    "This book amply fulfils the promise in the preface that it will provide 'a bridge from thermodynamics and statistical mechanics towards many-body theory and its applications'. Students, teachers and researchers will all benefit from it."
    Joel Lebowitz, Rutgers, The State University of New Jersey

    "With exceptional clarity this book treats every topic from the beginning. It thus succeeds in being pedagogically effective while still capturing the interest of the expert. It is truly unique in connecting key ideas of statistical mechanics, [such as] the renormalization group, to many-body theories of electronic systems."
    Giovanni Vignale, University of Missouri, Columbia

    "… this remarkable book provides access to several modern subject areas in condensed matter physics within a single monograph. Both authors are internationally acknowledged experts in condensed matter theory, with Carlo Di Castro being one of the founding fathers of the field-theoretic renormalization group approach to critical phenomena. In view of the broad spectrum of topics the author’s suggestions of how to use the book for regular courses on, for example, introductory statistical mechanics, critical phenomena, dissipative phenomena in classical and quantum systems, or modern trends in quantum statistical mechanics, are very helpful. This book is an impressive achievement. It will be very useful not only to graduate students but also to experienced researchers in modern condensed matter physics. I recommend it highly - it belongs in every physics library."
    Dieter Vollhardt, Universität Augsburg

    "The authors, whose competence is beyond doubt, employ a well-considered approach to bridge background statistical mechanics topics, standard condensed matter physics applications, and a limited but inspiring choice of advanced and timely many-body themes … Statistical Mechanics and Applications in Condensed Matter is a well-designed, user-friendly text that represents an impressive and successful effort to synthesize modern aspects of condensed matter and many-body phenomena. I have no doubt that this book will soon be found - and deservedly so - in physics libraries and on the bookshelves of many students and researchers."
    Erio Tosatti, Physics Today

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    Product details

    • Date Published: October 2015
    • format: Hardback
    • isbn: 9781107039407
    • length: 544 pages
    • dimensions: 253 x 197 x 27 mm
    • weight: 1.32kg
    • contains: 82 b/w illus.
    • availability: In stock
  • Table of Contents

    Preface
    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 liquid
    References
    Author index
    Index.

  • Authors

    Carlo Di Castro, Università degli Studi di Roma 'La Sapienza', Italy
    Carlo Di Castro is a member of the 'Accademia Nazionale dei Lincei' and Emeritus Professor of Theoretical Physics at the Sapienza University of Rome, where he has been at the forefront of teaching and research in statistical mechanics and many-body theory for over forty years. His current interests include strongly correlated electron systems, quantum criticality, high temperature superconductivity and non-Fermi-liquid metals.

    Roberto Raimondi, Università degli Studi Roma Tre
    Roberto Raimondi is Associate Professor of Condensed Matter Physics at Roma Tre University where he has made important contributions to the understanding of the transport properties of disordered and mesoscopic systems. His current research interests include spintronics, especially the spin Hall effect and topological insulators.

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