THERMODYNAMICS OF ORDER-DISORDER PHENOMENA.

Abstract

This report is a development of the paper dealing with the solution of the Association Problem (AP). The method of AP is applicable to a wide class of problems in statistical mechanics, concerning the thermodynamic equilibrium of homogeneous systems. These include crystalline solids, where there is naturally a lattice structure at the microscopic level, but also homogeneous fluids, which can be treated by the cell-cluster theory. The present report is particularly concerned with applications to the thermodynamics of order-disorder transitions, such as occur at the Curie point in ferromagnetic media. The purpose of the repost is to show how the matrix-spinor method can be applied to solve the two-dimensional Ising problem. It is impossible to present a complete reduction of the problem. In some places intuitive reasoning substitutes for mathematical rigor. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1964
Accession Number
AD0434387

Entities

People

  • H. S. Green

Organizations

  • Naval Air Weapons Station China Lake

Tags

DTIC Thesaurus Topics

  • Curie Temperature
  • Diseases And Disorders
  • Mechanics
  • Physical Properties
  • Physics
  • Reasoning
  • Statistical Mechanics
  • Thermodynamics
  • Transitions
  • Two Dimensional

Readers

  • Artificial Intelligence
  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.