Phase Transitions of Random Binary Magnetic Square Lattice Ising Systems

TL;DR

This paper uses Monte Carlo simulations to study phase transitions in a binary magnetic square lattice Ising system, showing improved accuracy over traditional approximation methods.

Contribution

It introduces Monte Carlo simulation as a more reliable approach for analyzing phase transitions in binary magnetic Ising systems compared to Bethe Peierls and Mean Field approximations.

Findings

Monte Carlo simulations provide more accurate critical temperature estimates.

Phase diagram of critical temperature versus ion concentration was developed.

Monte Carlo results outperform traditional approximation methods.

Abstract

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the other antiferromagnetic. A phase diagram of the ion concentration dependent critical temperature, Tc was deduced. Combined Bethe Peierls approximation and Mean Field theory phase transition results were compared to the results of the present method. An improved accuracy of the approximations of the critical temperatures was observed. The Monte Carlo simulation is thus shown to be a more reliable method for obtaining the physical properties of the random binary two-dimensional Ising system. Keywords: Binary magnetic two-dimensional Ising system, phase transition, Monte Carlo simulations