Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality

Details Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality Absorbing states and elastic interfaces in random media: two equivalent descriptions of self-organized criticality

2006-10-20

arxiv.org/abs/cond-mat/0610569v2

Phys. Rev. Lett. 98, 115702 (2007)

Physics

Condensed Matter

Statistical Mechanics

4 pages. 2 Figures

Scientific paper

10.1103/PhysRevLett.98.155702

We elucidate a long-standing puzzle about the non-equilibrium 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 non-diffusive 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.

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