Criterion for First-Order Phase Transitions.

Abstract

We show, via scaling arguments, that a first order transition occurs when the appropriate susceptibility (second derivative of the free energy) diverges proportional to the volume of the system. This result holds rigorously as an equality or an upper bound for a very large class of Hamiltonians. The divergence is maximal; therefore, it provides a useful way of locating first order transitions. Our method gives accurate results for the two dimensional Ising model. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA113049

Entities

People

  • Chin-kun Hu
  • P. Kleban

Organizations

  • University of Maine

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Discontinuities
  • Domain Walls
  • Energy
  • Equations
  • Free Energy
  • Heat Energy
  • Latent Heat
  • Magnetic Fields
  • Magnetization
  • Military Research
  • Phase Transformations
  • Specific Heat
  • Transition Temperature
  • Transitions
  • Two Dimensional

Fields of Study

  • Physics

Readers

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