The estimation of (kT_{C}(p)/J, p) phase diagram for two-dimensional site-diluted Ising model using a microcanonical algorithm

TL;DR

This paper uses an improved microcanonical algorithm to accurately estimate the phase diagram of the two-dimensional site-diluted Ising model, focusing on critical temperatures across different dilution levels.

Contribution

It introduces a new expression for average kinetic energy dependent on dilution, enabling precise temperature estimation in the site-diluted Ising model.

Findings

Phase transition line agrees with theoretical predictions.

New kinetic energy expression improves temperature estimation.

Simulations on square lattice validate the phase diagram.

Abstract

The site-diluted Ising model has been investigated using an improved microcanonical algorithm from Creutz Cellular Automaton. For a microcanonical algorithm, the basic problem is to estimate the correct temperatures using average values of the kinetic energy in the simulations of site-diluted Ising model. In this study, the average kinetic energy has been re-described with an expression dependent on dilution x=1-p. The values of the temperature have been calculated using the new expression and the critical temperatures have been estimated from the peaks of specific heat for each value of dilution x. The obtained phase transition line (kT_{C}(p)/J, p) is in good agreement with functional prediction for the site-diluted Ising model. The simulations were carried out on a square lattice with periodic boundary conditions.