Accession Number : ADA113049

Title :   Criterion for First-Order Phase Transitions.

Descriptive Note : Technical rept.,

Corporate Author : MAINE UNIV ORONO DEPT OF PHYSICS AND ASTRONOMY

Personal Author(s) : Kleban,P ; Hu,Chin-Kun

PDF Url : ADA113049

Report Date : Feb 1982

Pagination or Media Count : 14

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)

Descriptors :   *Transitions, *Phase control, Free energy, Electromagnetic susceptibility, Hamiltonian functions, Transition temperature, Mathematical models, Two dimensional

Subject Categories : Numerical Mathematics
      Electricity and Magnetism

Distribution Statement : APPROVED FOR PUBLIC RELEASE