Phase Diagram of mixed bond Ising systems by use of Monte Carlo and the effective-field theory

TL;DR

This paper investigates the phase transitions of mixed bond Ising ferromagnets on cubic lattices using Monte Carlo simulations and effective-field theory, providing insights into their thermodynamic behavior.

Contribution

It combines Monte Carlo methods with a novel effective-field theory approach to analyze phase diagrams of mixed bond Ising systems.

Findings

Identified phase transition points through simulations and theory

Compared thermodynamic quantities from different methods

Validated the effective-field theory with Monte Carlo results

Abstract

The phase transition of a random mixed-bond Ising ferromagnet on a cubic lattice model is studied both numerically and analytically. In this work, we use the Cluster algorithms of Wolff and Glauber to simulate the dynamics of the system. We obtained the thermodynamic quantities such as magnetization, susceptibility, and specific heat. Our results were compared with those obtained using a new technique in effective field theory that employs similar probability distribution within the framework of two-site clusters