Critical Behavior in Many Body Systems.

Abstract

Earlier studies of the simple Ising model have been extended and the techniques applied to a variety of multistate and multispin models. Briefly presented is the authors' research results in which they have developed methods for the derivation of series developments for the Potts model, for which one of the most interesting questions is the order of the transition, for Ising models with four-spin interactions (including the eight-vertex model) and the three-spin triangular Ising model. For the three-spin triangular Ising model it has been found possible to conjecture the exact form of the spontaneous magnetisation. They have also continued to study the general cluster expansion for the high temperature specific heat of the Ising model of a ferromagnet. High field expansions have been derived for the Ising model on the hydrogen peroxide lattice. The exploration of the size and shape of polymer chains using insight gained from critical phenomena has continued.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA016170

Entities

People

  • C. Domb

Organizations

  • King's College London

Tags

DTIC Thesaurus Topics

  • High Temperature
  • Hydrogen
  • Magnetization
  • Peroxides
  • Rocket Oxidizers
  • Specific Heat
  • Transitions

Fields of Study

  • Physics

Readers

  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.
  • Theoretical Analysis.