Phase transition within deformed Ising model

Alexander I. Olemskoi; Olga V. Yushchenko

paper

Phase transition within deformed Ising model

arXiv:cond-mat/0303266

Abstract

Deformation of Ising Hamiltonian by means of replacing a site spin $s_{i}$ by $s_{i}^{q}$ and statistics generalization with help of the substituting deformed probability $p_{i}^{q}$ instead of $p_{i}$ are studied jointly within mean--field scheme. Such deformed model is shown to be related to the phase transition of the second order with unusual set of critical indices depending essentially on the deformation parameter $q$ . Scaling relations turn out to be invariant with respect to the deformation.

4 pages, 2 figures, RevTex4