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In search of smooth sandpiles: the Edwards-Wilkinson equation with flow

Parthapratim Biswas, Arnab Majumdar, Anita Mehta, J. K. Bhattacharjee

cond-mat.dis-nnarXiv:cond-mat/9707183

Abstract

The well-known Edwards-Wilkinson equation with a flow term added exhibits a smoothing fixed point in addition to the normal EW fixed point. Based on this, we present a model of sandpiles involving a coupling between fixed and mobile grains, which then shows the smoothing behaviour that would be expected to obtain after avalanche propagation.

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