Monte Carlo Simulation of Anisotropic Ising Model Using Metropolis and Wolff Algorithm

TL;DR

This paper uses Monte Carlo simulations with Metropolis and Wolff algorithms to study phase transitions, thermodynamic properties, and magnetocaloric effects in anisotropic Ising models under various external fields.

Contribution

It introduces a comprehensive analysis of anisotropic Ising models using advanced Monte Carlo methods, including the magnetocaloric effect and hysteresis behavior.

Findings

Critical temperatures accurately determined via Binder cumulant analysis

Magnetocaloric effect observed in different anisotropic cases

Hysteresis loops characterized for various anisotropic scenarios

Abstract

We employ Monte Carlo techniques, utilizing the Metropolis and Wolff algorithms, to investigate phase behavior and phase transitions in anisotropic Ising models. Our study encompasses the thermodynamic properties, evaluating energy, magnetization, specific heat, magnetic susceptibility, magnetic entropy, and the Binder cumulant. Additionally, we examine the impact of external fields on these thermodynamic quantities at different externally applied field values. We accurately determine the critical temperature for various model scenarios by analyzing the Binder cumulant. Our investigations also include an analysis of the hysteresis loop for the model for different an-isotropic cases. In particular, our study presents the magnetocaloric effect, which is the change in temperature of magnetic material when exposed to a changing magnetic field, in the different anisotropic cases of the Ising model.