Phase transition within deformed Ising model

TL;DR

This paper investigates a deformed Ising model where spins and probabilities are modified by a parameter q, revealing a second-order phase transition with unique critical indices while maintaining invariant scaling relations.

Contribution

It introduces a deformed Ising model with modified spins and probabilities, analyzing its phase transition behavior within a mean-field framework.

Findings

Identifies a second-order phase transition with q-dependent critical indices.

Shows that scaling relations remain invariant despite deformation.

Establishes a connection between deformation parameters and critical phenomena.

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.