The Oslo rice pile model is a quenched Edwards-Wilkinson equation

Details The Oslo rice pile model is a quenched Edwards-Wilkinson equation The Oslo rice pile model is a quenched Edwards-Wilkinson equation

2002-09-23

arxiv.org/abs/cond-mat/0209531v2

Phys. Rev. E 67, 030301(R) (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 2 figures, RevTeX 4, updated version (clarified arguments and corrected references)

Scientific paper

10.1103/PhysRevE.67.030301

The Oslo rice pile model is a sandpile-like paradigmatic model of ``Self-Organized Criticality'' (SOC). In this paper it is shown that the Oslo model is in fact exactly a discrete realization of the much studied quenched Edwards-Wilkinson equation (qEW) [Nattermann et al., J. Phys. II France 2, 1483 (1992)]. This is possible by choosing the correct dynamical variable and identifying its equation of motion. It establishes for the first time an exact link between SOC models and the field of interface growth with quenched disorder. This connection is obviously very encouraging as it suggests that established theoretical techniques can be brought to bear with full strength on some of the hitherto elusive problems of SOC.

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