Random Field Potts model with dipolar-like interactions: hysteresis, avalanches and microstructure

TL;DR

This paper introduces a modified Random Field Potts model with dipolar interactions to study hysteresis, microstructure formation, and avalanches during phase transitions, revealing insights into the complex dynamics of multivariant phases.

Contribution

The study presents a novel extension of the RF Potts model incorporating dipolar interactions, enabling detailed analysis of hysteresis and microstructure in 3D phase transitions.

Findings

Hysteresis loop properties are characterized.

3D microstructures are analyzed.

Avalanche statistics are obtained.

Abstract

A model for the study of hysteresis and avalanches in a first-order phase transition from a single variant phase to a multivariant phase is presented. The model is based on a modification of the Random Field Potts model with metastable dynamics by adding a dipolar interaction term truncated at nearest neighbors. We focus our study on hysteresis loop properties, on the three-dimensional (3D) microstructure formation and on avalanche statistics.