
Introduction to the Theory of Critical Phenomena
Mean Field, Fluctuations and Renormalization
- 700 pages
- English
- PDF
- Available on iOS & Android
Introduction to the Theory of Critical Phenomena
Mean Field, Fluctuations and Renormalization
About this book
This book provides a comprehensive introduction to the theory of phase transitions and critical phenomena. The content covers a period of more than 100 years of theoretical research of condensed matter phases and phase transitions providing a clear interrelationship with experimental problems. It starts from certain basic University knowledge of thermodynamics, statistical physics and quantum mechanics. The text is illustrated with classic examples of phase transitions. Various types of phase transition and (multi)critical points are introduced and explained. The classic aspects of the theory are naturally related with the modern developments. This interrelationship and the field-theoretical renormalization group method are presented in details. The main applications of the renormalization group methods are presented. Special attention is paid to the description of quantum phase transitions. This edition contains a more detailed presentation of the renormalization group method and its applications to particular systems.
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Information
Table of contents
- Contents
- Foreword
- Preface to the Second Edition
- Preface to the First Edition
- 1. Introduction
- 2. Equilibrium States and Phases
- 3. Thermodynamic Theory of Phase Transitions
- 4. Landau Expansion
- 5. Statistical Mechanics and Mean-Field Approximation
- 6. Fluctuations and Fields
- 7. Perturbation Theory of Fluctuation Fields
- 8. Renormalization Group
- 9. Some Applications
- 9.6 Anisotropy, Coupled Order Parameters and Multicritical Behaviour
- 9.7 Critical Properties of Superconductors and Liquid Crystals
- 9.8 Magnetic Fluctuations in Thin Superconducting Films
- 9.9 Phase Transitions in Unconventional Ferromagnetic Superconductors
- Appendix A Useful Mathematical Formulae
- Appendix B Gaussian Integrals and Transformations
- Appendix C Some Functionals
- Appendix D D-dimensional Integration and Some Fourier Transformations
- Appendix E Perturbation Integrals and Sums
- Appendix F Fourier Amplitudes of Lattice Exchange Interactions
- Bibliography
- Index