Statistical mechanics of phase transitions

書誌事項

Statistical mechanics of phase transitions

J.M. Yeomans

Clarendon Press , Oxford University Press, 1992

  • : pbk

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注記

Based on a series of lectures given by the author at Oxford

Includes bibliographical references and index

内容説明・目次

巻冊次

ISBN 9780198517290

内容説明

Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This work describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered and two chapters are devoted to the renormalization group which led to a break-through in the field. The book should be useful as a textbook for a course in phase transitions, as an introduction for graduate students undertaking research in related fields and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist.

目次

  • Statistical mechanics and thermodynamics
  • modelsl mean-filed theories
  • the transfer matrix
  • series expansions
  • Monte Carlo simulations
  • the renormalization group
  • implementations of the renormalization group.
巻冊次

: pbk ISBN 9780198517306

内容説明

Recent developments have led to a good understanding of universality; why phase transitions in systems as diverse as magnets, fluids, liquid crystals, and superconductors can be brought under the same theoretical umbrella and well described by simple models. This book describes the physics underlying universality and then lays out the theoretical approaches now available for studying phase transitions. Traditional techniques, mean-field theory, series expansions, and the transfer matrix, are described; the Monte Carlo method is covered, and two chapters are devoted to the renormalization group, which led to a break-through in the field. The book will be useful as a textbook for a course in `Phase Transitions', as an introduction for graduate students undertaking research in related fields, and as an overview for scientists in other disciplines who work with phase transitions but who are not aware of the current tools in the armoury of the theoretical physicist.

目次

  • Introduction
  • Statistical mechanics and thermodynamics
  • Models
  • Mean-field theories
  • The transfer matrix
  • Series expansions
  • Monte Carlo simulations
  • The renormalization group
  • Implementations of the renormalization group.

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