Chapter 10. Statistical Thermodynamics and Model Calculations

  1. Prof. Wolfgang Pfeiler
  1. Tetsuo Mohri

Published Online: 20 SEP 2007

DOI: 10.1002/9783527614196.ch10

Alloy Physics: A Comprehensive Reference

Alloy Physics: A Comprehensive Reference

How to Cite

Mohri, T. (2007) Statistical Thermodynamics and Model Calculations, in Alloy Physics: A Comprehensive Reference (ed W. Pfeiler), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527614196.ch10

Editor Information

  1. University of Vienna, Faculty of Physics, Dynamics of Condensed Systems, Strudlhofgasse 4, 1090 Vienna, Austria

Author Information

  1. Hokkaido University, Graduate School of Engineering, Division of Materials Science and Engineering, Sapporo 060-8628, Japan

Publication History

  1. Published Online: 20 SEP 2007
  2. Published Print: 11 JUL 2007

ISBN Information

Print ISBN: 9783527313211

Online ISBN: 9783527614196



  • alloy physics;
  • statistical thermodynamics;
  • model calculations;
  • discrete lattice;
  • continuous media;
  • future scope


This chapter contains sections titled:

  • Introduction

  • Statistical Thermodynamics on a Discrete Lattice

    • Description of Atomic Configuration

    • Internal Energy

    • Entropy and Cluster Variation Method

    • Free Energy

    • Relative Stability and Intrinsic Stability

    • Atomistic Kinetics by the Path Probability Method

  • Statistical Thermodynamics on Continuous Media

    • Ginzburg–Landau Free Energy

    • Diffusion Equation and Time-Dependent Ginzburg–Landau Equation

    • Width of an Interface

    • Interface Velocity

  • Model Calculations

    • Calculation of a Phase Diagram

      • Ground-State Analysis

      • Effective Cluster Interaction Energy

      • Phase Diagram

    • Microstructural Evolution Calculated by the Phase Field Method

      • Hybrid Model

      • Toward the First-Principles Phase Field Calculation

  • Future Scope and Outlook

  • Appendix: CALPHAD Free Energy

  • References