Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties

TL;DR

This paper investigates the properties and phase diagram of spanning avalanches in the 3D Gaussian Random Field Ising Model with metastable dynamics, revealing coexistence of different fractal avalanche types at criticality.

Contribution

It provides a finite-size scaling analysis and geometrical characterization of avalanches, confirming the coexistence of multiple fractal dimensions at the critical point.

Findings

Identification of field values for avalanche occurrence

Confirmation of multiple fractal dimensions at criticality

Comparison of phase diagrams in metastable and equilibrium states

Abstract

Spanning avalanches in the 3D Gaussian Random Field Ising Model (3D-GRFIM) with metastable dynamics at T=0 have been studied. Statistical analysis of the field values for which avalanches occur has enabled a Finite-Size Scaling (FSS) study of the avalanche density to be performed. Furthermore, direct measurement of the geometrical properties of the avalanches has confirmed an earlier hypothesis that several kinds of spanning avalanches with two different fractal dimensions coexist at the critical point. We finally compare the phase diagram of the 3D-GRFIM with metastable dynamics with the same model in equilibrium at T=0.