In search of smooth sandpiles: the Edwards-Wilkinson equation with flow
Parthapratim Biswas, Arnab Majumdar, Anita Mehta, J.K.Bhattacharjee
TL;DR
This paper explores a modified Edwards-Wilkinson equation with flow, proposing a sandpile model that captures smoothing behavior post-avalanche, highlighting new fixed points in the system's dynamics.
Contribution
It introduces a coupled fixed-mobile grain model demonstrating smoothing behavior and identifies a new fixed point in the Edwards-Wilkinson framework.
Findings
Identification of a smoothing fixed point in the EW equation with flow
Demonstration of smoothing behavior after avalanche propagation
Proposal of a coupled grain model capturing realistic sandpile dynamics
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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