Chapter 11. Mean-Field Theory II: Exact Solution in Infinite Dimension

  1. Prof. Dr. Debashish Chowdhury1,
  2. Prof. Dr. Dietrich Stauffer2

Published Online: 28 JAN 2005

DOI: 10.1002/3527603158.ch11

Book Title

Principles of Equilibrium Statistical Mechanics

Principles of Equilibrium Statistical Mechanics

Additional Information

How to Cite

Chowdhury, D. and Stauffer, D. (2005) Mean-Field Theory II: Exact Solution in Infinite Dimension, in Principles of Equilibrium Statistical Mechanics, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527603158.ch11

Author Information

  1. 1

    Indian Institute of Technology, Kanpur, India

  2. 2

    University of Cologne, Germany

Publication History

  1. Published Online: 28 JAN 2005
  2. Published Print: 27 JUL 2000

ISBN Information

Print ISBN: 9783527403004

Online ISBN: 9783527603152

SEARCH

CHAPTER TOOLS

Get PDF (736K)

Keywords:

  • statistical mechanics;
  • interacting systems;
  • mean-field theory;
  • exact solution in infinite dimension;
  • infinite-range ising model;
  • infinite-range classical gas

Summary

This chapter contains sections titled:

  • Introduction

  • Infinite-Range Ising Model

    • First Approach: Largest Term Method

    • Second Approach: Method of Steepest Descent

  • Infinite-Range Classical Gas

  • Chapter Summary

  • Historical Notes

  • Problems

  • Supplementary Notes

    • Classical n-vector Models with Long-range Interactions

    • Potts Model with Infinite-range Interactions

    • Ising Model on a Bethe Lattice

    • Classical Fluids in Infinite Dimension

Get PDF (736K)