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

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, direc...

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Bibliographic Details
Published in:arXiv.org 2004-03
Main Authors: Perez-Reche, Francisco-Jose, Vives, Eduard
Format: Article
Language:English
Subjects:
Avalanches
Critical point
Dependence
Fields (mathematics)
Fractal geometry
Ising model
Phase diagrams
Simulation
Statistical analysis
Three dimensional models
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0403754