Phase transition of two-dimensional Ising model on random point patterns

Xiujun Fu, Kwok Yip Szeto, and Wing Keung Cheung
Phys. Rev. E 70, 056123 – Published 22 November 2004

Abstract

The phase transition of two-dimensional Ising model on random point patterns is investigated using Monte Carlo simulation and the critical temperature is calculated using the Bethe approximation. We find a linear relation between the critical temperature and the structural characteristics of the random point pattern, as described by Aboav’s parameter. Numerical results and analytical calculation both yield this linear relation with a similar slope, though the intercept is different due to the Bethe approximation.

  • Figure
  • Received 30 March 2004

DOI:https://doi.org/10.1103/PhysRevE.70.056123

©2004 American Physical Society

Authors & Affiliations

Xiujun Fu1,2, Kwok Yip Szeto1,*, and Wing Keung Cheung1

  • 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
  • 2Department of Physics, South China University of Technology, Guangzhou 510640, China

  • *Corresponding author. Email address: phszeto@ust.hk

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Vol. 70, Iss. 5 — November 2004

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