An exact mapping of the stochastic field theory for Manna sandpiles to interfaces in random media
Pierre Le Doussal, Kay Jörg Wiese
CNRS-Laboratoire de Physique Théorique de
l'Ecole Normale Supérieure,
24 rue Lhomond, 75005 Paris, France.
Abstract
We show that the stochastic field theory for directed percolation in presence of an additional conservation law (the C-DP class) can be mapped exactly to the continuum theory for the depinning of an elastic interface in short-range correlated quenched disorder. On one line of parameters commonly studied, this mapping leads to the simplest overdamped
dynamics. Away from this line, an additional memory term
arises in the interface dynamics; we argue that
it does not change the universality class. Since C-DP is believed to describe the Manna class
of self-organized criticality, this shows that Manna stochastic sandpiles and disordered elastic interfaces
(i.e. the quenched Edwards-Wilkinson model)
share the same universal large-scale behavior.
arXiv:1410.1930 [pdf]
Phys. Rev. Lett. 114 (2014) 110601 [pdf]
Copyright (C) by Kay Wiese. Last edited April 24, 2015.