Critical Nucleation in Colossal Magnetoresistance

TL;DR

This paper investigates critical nucleation phenomena in a 3D spin system related to colossal magnetoresistance, identifying critical exponents, cluster formation, and magnetization behavior consistent with theoretical models and universality classes.

Contribution

It provides empirical critical exponents and cluster analysis for a 3D spin system, linking nucleation behavior to the Fisher Liquid Droplet Model and universality classes.

Findings

Critical exponents match those of Heavy Ion collisions.

Cluster size distribution follows a power law at criticality.

Magnetization critical temperature aligns with theoretical predictions.

Abstract

Critical exponents have been obtained for a 3D spin particle system. Clusters are formed and system reaches a critical behavior when fragment size distribution follows a power law, as predicted by Fisher Liquid Droplet Model. Also, spontaneous magnetization critical temperature is in agreement with other theoretical studies. System evolution is reproduced via a genetic algorithm that performs minimal genetic fluctuations until a stationary state is attained. Critical exponents are in the range of those belonging to Heavy Ion collisions previously reported, and therefore belong to the same universality class.