English

Locating analytically critical temperature in some statistical systems

High Energy Physics - Lattice 2009-10-22 v1

Abstract

We have found a simple criterion which allows for the straightforward determination of the order-disorder critical temperatures. The method reproduces exactly results known for the two dimensional Ising, Potts and Z(N<5)Z(N<5) models. It also works for the Ising model on the triangular lattice. For systems which are not selfdual our proposition remains an unproven conjecture. It predicts βc=0.2656...\beta_c=0.2656... for the two coupled layers of Ising spins. Critical temperature of the three dimensional Ising model is related to the free energy of the two layer Ising system.

Keywords

Cite

@article{arxiv.hep-lat/9312025,
  title  = {Locating analytically critical temperature in some statistical systems},
  author = {J. Wosiek},
  journal= {arXiv preprint arXiv:hep-lat/9312025},
  year   = {2009}
}

Comments

13 pages, LATEX, TPJU-23/93 November 1993