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

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.

11 pages, 16 figures

References in corpus (17)

• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• Parameter estimation for power-law distributions by maximum likelihood methods
• Ferroelastic Dynamics and Strain Compatibility
• Jamming Percolation and Glass Transitions in Lattice Models
• Zero-temperature Hysteresis in Random-field Ising Model on a Bethe Lattice
• Three-Dimensional Elastic Compatibility: Twinning in Martensites
• Driving Rate Effects on Crackling Noise
• Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
• Driving rate effects in avalanche-mediated, first-order phase transitions
• Simulations of cubic-tetragonal ferroelastics
• Hysteresis and Avalanches in the Random Anisotropy Ising Model
• Hysteresis, Avalanches, and Noise: Numerical Methods
• Power law statistics of avalanches in martensitic transformation
• Hysteresis properties at zero temperature in the Dipolar-Random Field Ising Model
• Jamming percolation and glassy dynamics
• Diluted 3d-Random Field Ising Model at zero temperature with metastable dynamics

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• Scaled free energies, power-law potentials, strain pseudospins and quasi-universality for first-order structural transitions
• Relaxation-to-creep transition of domain-wall motion in two- dimensional random-field Ising model with ac driving field
• Modelling avalanches in martensites
• Suppression of spinodal instability by disorder in an athermal system
• Statistics of Microstructure Formation in Martensitic Transitions Studied by a Random-Field Potts Model with Dipolar-like Interactions
• Recent topics on metastability, hysteresis, avalanches, and acoustic emission associated to martensitic transitions in functional materials