Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics

Abstract

A numerical study is presented of the 3d Gaussian Random Field Ising Model at T=0 driven by an external field. Standard synchronous relaxation dynamics is employed to obtain the magnetization versus field hysteresis loops. The focus is on the analysis of the number and size distribution of the magnetization avalanches. They are classified as being non-spanning, 1d-spanning, 2d-spanning or 3d-spanning depending on whether or not they span the whole lattice in the different space directions. Moreover, finite-size scaling analysis enables identification of two different types of non-spanning avalanches (critical and supercritical) and two different types of 3d-spanning avalanches (critical and subcritical), whose numbers increase with L as a power-law with different exponents. We conclude by giving a scenario for the avalanches behaviour in the thermodynamic limit.

17 pages, 16 figures (final version, accepted in Phys. Rev. B)

References in corpus (1)

• Barkhausen Noise and Critical Scaling in the Demagnetization Curve

Cited by in corpus (39)

• The effect of inertia on sheared disordered solids: Critical scaling of avalanches in two and three dimensions
• Local mean-field study of capillary condensation in silica aerogels
• The mechanisms of self-organised criticality in social processes of knowledge creation
• A Two-Threshold Model for Scaling Laws of Non-Interacting Snow Avalanches
• Driving rate effects in avalanche-mediated, first-order phase transitions
• Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties
• Driving-induced crossover: from classical criticality to self-organized criticality
• Analysis of power-law exponents by maximum-likelihood maps
• Inertia and universality of avalanche statistics: The case of slowly deformed amorphous solids
• Helium condensation in aerogel: avalanches and disorder-induced phase transition
• Criticality of the random field Ising model in and out of equilibrium: a nonperturbative functional renormalization group description
• Magnetization reversal in spin patterns with complex geometry
• Numerical study of the random field Ising model at zero and positive temperature
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model
• Random Field Ising Model In and Out of Equilibrium
• Hysteresis and avalanches in the T=0 random-field Ising model with 2-spin-flip dynamics
• Avalanches and dimensional reduction breakdown in the critical behavior of disordered systems
• Effects of local and global network connectivity on synergistic epidemics
• Ground state optimization and hysteretic demagnetization: the random-field Ising model
• Effects of variable neighbourhood on spreading processes
• Random Field Potts model with dipolar-like interactions: hysteresis, avalanches and microstructure
• The magnetization-driven random field Ising model at T=0
• Instanton Analysis of Hysteresis in the Three-Dimensional Random-Field Ising Model
• Statistical Mechanics of Avalanches
• Dynamical implications of sample shape for avalanches in 2-dimensional random-field Ising model with saw-tooth domain wall
• Mechanisms of evolution of avalanches in regular graphs
• Avalanches in complex spin networks
• Modelling avalanches in martensites
• Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions
• Hysteresis in the T=0 RFIM: beyond metastable dynamics
• Power-law and log-normal avalanche size statistics in random growth processes
• Exact calculation of the energy contributions to the T=0 random-field Ising model with metastable dynamics on the Bethe lattice
• Diluted 3d-Random Field Ising Model at zero temperature with metastable dynamics
• The effects of external noise on threshold induced correlations in ferromagnetic systems
• Ductile and brittle yielding of athermal amorphous solids: a mean-field paradigm beyond the random field Ising model
• Statistical properties of pinning fields in the 3d-Gaussian RFIM
• Work distributions in the T=0 Random Field Ising Model
• Multifractal structure of Barkhausen noise: A signature of collective dynamics at hysteresis loop