Driving-induced crossover: from classical criticality to self-organized criticality
arXiv:0807.3011 · doi:10.1103/PhysRevLett.101.230601
Abstract
We propose a spin model with quenched disorder which exhibits in slow driving two drastically different types of critical nonequilibrium steady states. One of them corresponds to classical criticality requiring fine-tuning of the disorder. The other is a self-organized criticality which is insensitive to disorder. The crossover between the two types of criticality is determined by the mode of driving. As one moves from "soft" to "hard" driving the universality class of the critical point changes from a classical order-disorder to a quenched Edwards-Wilkinson universality class. The model is viewed as prototypical for a broad class of physical phenomena ranging from magnetism to earthquakes.
4 pages, 4 figures
References in corpus (21)
- Crackling Noise
- Statistical Models of Fracture
- Collective Transport: From Superconductors to Earthquakes
- Paths to Self-Organized Criticality
- Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach
- Renormalization of pinned elastic systems: how does it work beyond one loop ?
- Nonequilibrium Dynamics of Interfaces and Lines
- Noise in disordered systems: The power spectrum and dynamic exponents in avalanche models
- Transport in Sand Piles, Interface Depinning, and Earthquake Models
- Dynamics of a ferromagnetic domain wall and the Barkhausen effect
- Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
- Depinning transition and thermal fluctuations in the random-field Ising model
- Spanning avalanches in the three-dimensional Gaussian Random Field Ising Model with metastable dynamics: field dependence and geometrical properties
- Training-induced criticality in martensites
- Disorder Driven Roughening Transitions of Elastic Manifolds and Periodic Elastic Media
- Morphology transitions in three-dimensional domain growth with Gaussian random fields
- The Oslo rice pile model is a quenched Edwards-Wilkinson equation
- Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model
- The magnetization-driven random field Ising model at T=0
- History-Induced Critical Behavior in Disordered Systems
- Wavelet transforms in a critical interface model for Barkhausen noise
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