Static and dynamic critical behaviour of 3d random site Ising model: different Monte Carlo algorithms

TL;DR

This paper investigates the static and dynamic critical behavior of the 3D random-site Ising model using three different Monte Carlo algorithms, revealing how each algorithm influences relaxation dynamics.

Contribution

It introduces a comparative study of Metropolis, Swendsen-Wang, and Wolff algorithms on static and dynamic critical phenomena in the 3D random-site Ising model.

Findings

Different algorithms exhibit distinct relaxation behaviors.

Static critical exponents are consistent across algorithms.

Dynamic relaxation types vary with the Monte Carlo method used.

Abstract

We perform numerical simulations to study static and dynamic critical behaviour of the 3d random-site Ising model. A distinct feature of our approach is a combination of the Metropolis, Swendsen-Wang, and Wolff Monte Carlo algorithms. For the static critical behaviour, these approaches are the complementary ones, whereas in dynamics they correspond to three different types of relaxation, being a particular subject of our study.