Direct Calculation of the Derivatives of the Free Energy for Ising Models by a Modified Kadanoff's Variational Method.

Abstract

We present a systematic procedure for the direct calculation of the free energy and its first and second derivatives for the Ising model in one to three dimensions with a wide class of symmetry properties. This renormalization group method is based on the modified Kadanoff's variational method (MKUM). This method is not only general but also very accurate numerically both near and far from the critical point. Further it includes correction to scaling effects not present in the standard linearized renormalization group treatment. This work describes the techniques and presents some illustrative results for the square latttice and body-centered cubic lattice with nearest neighbor interactions. A full treatment of our results will be given elsewhere. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 17, 1982
Accession Number
ADA111816

Entities

People

  • Chin-kun Hu
  • Peter Kleban

Organizations

  • University of Maine

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Critical Temperature
  • Crystal Lattices
  • Crystal Structure
  • Cubic Lattices
  • Energy
  • Equations
  • Free Energy
  • Phase Transformations
  • Symmetry
  • Three Dimensional
  • Transition Temperature
  • Transitions
  • Two Dimensional
  • Variational Methods

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.