论文标题
在存在远距离相互作用的情况下，a级雪崩的空间聚类
Spatial clustering of depinning avalanches in presence of long-range interactions
论文作者
论文摘要
弹性界面无序的界面在繁殖过渡时显示雪崩动力学。对于短距离相互作用，雪崩对应于depin理论很好地描述的界面的紧凑重组。对于远程弹性，雪崩是一系列空间断开的簇。在本文中，我们确定簇的缩放属性，并将它们与界面的粗糙度指数相关联。我们分析的主要观察结果是识别bienaym {é} -Galton-Watson过程，描述了群集数的统计数据。我们的工作对于群集统计数据是雪崩动力学的关键探针的实验应用具有具体的重要性。
Disordered elastic interfaces display avalanche dynamics at the depinning transition. For short-range interactions, avalanches correspond to compact reorganizations of the interface well described by the depinning theory. For long-range elasticity, an avalanche is a collection of spatially disconnected clusters. In this paper we determine the scaling properties of the clusters and relate them to the roughness exponent of the interface. The key observation of our analysis is the identification of a Bienaym{é}-Galton-Watson process describing the statistics of the cluster number. Our work has a concrete importance for experimental applications where the cluster statistics is a key probe of avalanche dynamics.
