arXiv Analytics

Sign in

arXiv:cond-mat/0112297AbstractReferencesReviewsResources

Self-organized criticality in the Kardar-Parisi-Zhang-equation

G. J. Szabo, M. J. Alava, J. Kertesz

Published 2001-12-16Version 1

Kardar-Parisi-Zhang interface depinning with quenched noise is studied in an ensemble that leads to self-organized criticality in the quenched Edwards-Wilkinson (QEW) universality class and related sandpile models. An interface is pinned at the boundaries, and a slowly increasing external drive is added to compensate for the pinning. The ensuing interface behavior describes the integrated toppling activity history of a QKPZ cellular automaton. The avalanche picture consists of several phases depending on the relative importance of the terms in the interface equation. The SOC state is more complicated than in the QEW case and it is not related to the properties of the bulk depinning transition.

Comments: 5 pages, 3 figures; accepted for publication in Europhysics Letters
Journal: Europhys. Lett. 57, 665 (2002)
Related articles: Most relevant | Search more
arXiv:2009.11781 [cond-mat.dis-nn] (Published 2020-09-24)
Self-organized criticality in neural networks from activity-based rewiring
arXiv:cond-mat/0602669 (Published 2006-02-28, updated 2006-03-26)
Self-Organized Criticality Below The Glass Transition
arXiv:1212.3106 [cond-mat.dis-nn] (Published 2012-12-13)
Self-organized criticality in neural network models