Chapter 4. Statistical Theories of Phase Transitions

  1. Prof. Gernot Kostorz
  1. Prof. Kurt Binder

Published Online: 28 JAN 2005

DOI: 10.1002/352760264X.ch4

Phase Transformations in Materials

Phase Transformations in Materials

How to Cite

Binder, K. (2005) Statistical Theories of Phase Transitions, in Phase Transformations in Materials (ed G. Kostorz), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/352760264X.ch4

Editor Information

  1. ETH Zürich, Institut fü Angewandte Physik, CH-8093 Zürich, Switzerland

Author Information

  1. Universität Mainz, Institut für Physik, Staudinger Weg 7, D-55099 Mainz, Germany

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 10 AUG 2001

ISBN Information

Print ISBN: 9783527302567

Online ISBN: 9783527602643

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Keywords:

  • statistical theories of phase transitions;
  • order parameters;
  • Landau symmetry classification;
  • second-order transitions;
  • critical phenomena;
  • first-order transitions;
  • fluctuations at phase transitions;
  • surfaces;
  • quenched disorder;
  • phase diagrams;
  • order–disorder phenomena;
  • alloys;
  • molecular field theory;
  • metastability

Summary

  • List of Symbols and Abbreviations

  • Introduction

  • Phenomenological Concepts

    • Order Parameters and the Landau Symmetry Classification

    • Second-Order Transitions and Concepts about Critical Phenomena (Critical Exponents, Scaling Laws, etc.)

    • Second-Order Versus First-Order Transitions; Tricritical and Other Multicritical Phenomena

    • Dynamics of Fluctuations at Phase Transitions

    • Effects of Surfaces and of Quenched Disorder on Phase Transitions: a Brief Overview

  • Computational Methods Dealing with the Statistical Mechanics of Phase Transitions and Phase Diagrams

    • Models for Order–Disorder Phenomena in Alloys

    • Molecular Field Theory and its Generalization (Cluster Variation Method, etc.)

    • Computer Simulation Techniques

  • Concepts About Metastability

  • Discussion

  • References