Universality in Nonequilibrium Lattice Systems: Theoretical Foundations

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Overview

"Universal scaling behavior is an attractive feature in statistical physics because a wide range of models can be classified purely in terms of their collective behavior due to a diverging correlation length. This book provides a comprehensive overview of dynamical universality classes occurring in nonequilibrium systems defined on regular lattices. The factors determining these diverse universality classes have yet to be fully understood, but the book attempts to summarize our present knowledge, taking them into account systematically." The book ...
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More About This Book

Overview

"Universal scaling behavior is an attractive feature in statistical physics because a wide range of models can be classified purely in terms of their collective behavior due to a diverging correlation length. This book provides a comprehensive overview of dynamical universality classes occurring in nonequilibrium systems defined on regular lattices. The factors determining these diverse universality classes have yet to be fully understood, but the book attempts to summarize our present knowledge, taking them into account systematically." The book helps the reader to navigate in the zoo of basic models and classes that were investigated in the past decades, using field theoretical formalism and topological diagrams of phase spaces. The extensions in this book include new topics like local scale invariance, tricritical points, phase space topologies, nonperturbative renormalization group results and disordered systems that are discussed in more detail. This book also aims to be more pedagogical, providing more background and derivation of results.
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Product Details

  • ISBN-13: 9789812812278
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 5/8/2008
  • Pages: 296
  • Product dimensions: 6.10 (w) x 9.00 (h) x 0.90 (d)

Table of Contents

1 Introduction 1

2 Out of Equilibrium Classes 27

3 Genuine Basic Nonequilibrium Classes with Fluctuating Ordered States 55

4 Genuine Basic Nonequilibrium Classes with Absorbing State 65

5 Scaling at First-Order Phase Transitions 155

6 Universality Classes of Multi-Component Systems 165

7 Surface-Interface Growth Classes 209

8 Summary and Outlook 239

Appendix 245

Bibliography 249

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