Diffusive thermal dynamics for the spin-S Ising ferromagnet

TL;DR

This paper introduces a novel diffusive thermal dynamics method using a random walker for spin-S Ising ferromagnets, analyzing relaxation and critical behavior with notable differences from traditional approaches.

Contribution

The paper presents a new diffusive dynamics algorithm for arbitrary spin systems, extending previous models and analyzing its effects on relaxation and critical phenomena.

Findings

Differences observed compared to canonical results.

Method applicable to spin-1/2 and spin-1 systems.

Potential extension to higher spin systems.

Abstract

We introduce an alternative thermal diffusive dynamics for the spin-S Ising ferromagnet realized by means of a random walker. The latter hops across the sites of the lattice and flips the relevant spins according to a probability depending on both the local magnetic arrangement and the temperature. The random walker, intended to model a diffusing excitation, interacts with the lattice so that it is biased towards those sites where it can achieve an energy gain. In order to adapt our algorithm to systems made up of arbitrary spins, some non trivial generalizations are implied. In particular, we will apply the new dynamics to two-dimensional spin-1/2 and spin-1 systems analyzing their relaxation and critical behavior. Some interesting differences with respect to canonical results are found; moreover, by comparing the outcomes from the examined cases, we will point out their main features, possibly extending the results to spin-S systems.