Driving-induced crossover: from classical criticality to self-organized criticality

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 insensiti...

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Bibliographic Details
Published in:arXiv.org 2008-12
Main Authors: Perez-Reche, Francisco-Jose, Truskinovsky, Lev, Zanzotto, Giovanni
Format: Article
Language:English
Subjects:
Critical point
Crossovers
Fractals
Magnetism
Order disorder
Quenching
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0807.3011