Nonequilibrium phase transitions in lattice models

Bibliographic Information

Nonequilibrium phase transitions in lattice models

Joaquín Marro, Ronald Dickman

(Collection Aléa-Saclay : monographs and texts in statistical physics)

Cambridge University Press, 1999

  • : hbk
  • : pbk

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Note

Includes bibliographical references (p. 301-320) and index

Size of pbk.: 25 cm

Description and Table of Contents

Description

This book provides an introduction to nonequilibrium statistical physics via lattice models. Beginning with an introduction to the basic driven lattice gas, the early chapters discuss the relevance of this lattice model to certain natural phenomena and examine simulation results in detail. Several possible theoretical approaches to the driven lattice gas are presented. In the next two chapters, absorbing-state transitions are discussed in detail. The later chapters examine a variety of systems subject to dynamic disorder before returning to look at the more surprising effects of multiparticle rules, nonunique absorbing-states and conservation laws. Examples are given throughout the book, the emphasis being on using simple representations of nature to describe ordering in real systems. The use of methods such as mean-field theory, Monte Carlo simulation, and the concept of universality to study and interpret these models is described. Detailed references are included.

Table of Contents

  • Preface
  • 1. Introduction
  • 2. Driven lattice gases: simulations
  • 3. Driven lattice gases: theory
  • 4. Lattice gases with reaction
  • 5. Catalysis models
  • 6. The contact process
  • 7. Models of disorder
  • 8. Conflicting dynamics
  • 9. Particle reaction models
  • Bibliography
  • Index.

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