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Absorbing States and Elastic Interfaces in Random Media: Two Equivalent Descriptions of Self-Organized Criticality

2006/10/31 by Juan A. Bonachela, H. Chate, Hugues Chaté +4
Earth and Planetary Sciences · Physics and Astronomy · #Geological formations and processes #Geology and Paleoclimatology Research #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.98.155702

published as Phys. Rev. Lett. 98, 115702 (2007) · 4 pages. 2 Figures

openalex publication_date 2007/04/13 · arxiv created 2007/04/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We elucidate a long-standing puzzle about the nonequilibrium universality classes describing self-organized criticality in sandpile models. We show that depinning transitions of linear interfaces in random media and absorbing phase transitions (with a conserved nondiffusive field) are two equivalent languages to describe sandpile criticality. This is so despite the fact that local roughening properties can be radically different in the two pictures, as explained here. Experimental implications of our work as well as promising paths for future theoretical investigations are also discussed.

Citations