CNRS-Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24 rue Lhomond, Paris 75005, France.
Phys Rev Lett. 2015 Mar 20;114(11):110601. doi: 10.1103/PhysRevLett.114.110601. Epub 2015 Mar 18.
We show that the stochastic field theory for directed percolation in the presence of an additional conservation law [the conserved directed-percolation (C-DP) class] can be mapped exactly to the continuum theory for the depinning of an elastic interface in short-range correlated quenched disorder. Along one line of the 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 this 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.
我们证明，存在额外守恒律（守恒定向渗流（C-DP）类）的定向渗流的随机场理论可以精确映射到短程关联淬火无序中弹性界面去钉扎的连续体理论。沿着通常研究的参数的一条线，这种映射导致最简单的过阻尼动力学。离开这条线，界面动力学中会出现额外的记忆项；我们认为这不会改变普遍性类别。由于 C-DP 被认为描述了自组织临界性的曼纳类，这表明曼纳随机沙堆和无序弹性界面（即淬火爱德华兹 - 威尔金森模型）具有相同的普遍大尺度行为。
