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Generalization of the Curie-Weiss Model to the D-dimensional Spin System

  • Hyung-june Woo (Department of Chemistry, Korea Advanced Institute of Science and Technology) ;
  • Eun Kyung Lee (Department of Chemistry, Korea Advanced Institute of Science and Technology) ;
  • Eok-Kyun Lee (Department of Chemistry, Korea Advanced Institute of Science and Technology)
  • 발행 : 1993.08.20

초록

The critical behavior of the classical D-dimensional spin model (D${\ge}$2), which is intermediate model that link up the Ising (D = 1) and the spherical model (D = ${\infty}$), is studied for the case of constant coupling interaction independent of the spin-spin distance (Curie-Weiss model). Analytical results show that the critical behavior of the present model is in quantitative agreement with the prediction of the phenomenological mean-field theory independent of D. Critical temperature is calculated to be T$_c$=k/JD. This gives a quantitative explanation of the relationship between the spin degree of freedom and the critical temperature.

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참고문헌

  1. Introduction to Phase Transitions and Critical Phenomena H. E. Stanley
  2. Statistical Physics, Phase Transitions and Superfluidity v.1 M. Kac;M. Chretien(et al.)(ed.)
  3. Phase Transitions and Critical Phenomena v.2 G. S. Joyce;C. Domb(ed.);M. S. Gree(ed.)