The relativistic effect of critical temperature reduction in the two dimensional Ising model

Abstract

We investigated the impact of Kaniadakis statistics on thermodynamic properties for a square magnetic grid. We used the Ising model. We reported numerical results for a two-dimensional magnetic network in a thermal bath. We calculated the probabilities of transition between states using-statistics, the Metropolis dynamics for stochastic processes of the finite-sized magnetic network, considering that the system interacts with a thermal reservoir. We investigated the behavior of various thermodynamic properties. We observed typical measurements of magnetization, energy and specific heat. Increasing the parameter reduces the critical temperature. We observed by the measurements of the fourth order Binder cumulative of magnetization, that for different network sizes and different values of the parameter , the system transition temperature magnetic decreases as κ increases.