Departament de Física de la Matèria Condensada, Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain.
Universitat de Barcelona Institute of Complex Systems, Barcelona, Spain.
Phys Rev Lett. 2018 Jul 20;121(3):034101. doi: 10.1103/PhysRevLett.121.034101.
We study the jerky response of slowly driven fronts in disordered media, just above the depinning transition. We focus on how spatially disconnected clusters of internally correlated activity lead to large-scale velocity fluctuations in the form of global avalanches and identify three different ways in which local activity clusters may organize within a global avalanche, depending on the distance to criticality. Our analysis provides new scaling relations between the power-law exponents of the statistical distributions of sizes and durations of local bursts and global avalanches. Fluid fronts of imbibition in heterogeneous media are taken as a case study to validate these scaling relations.
我们研究了在无序介质中缓慢驱动的前沿的颠簸响应，正好在去钉扎转变之上。我们专注于内部相关活动的空间不连续簇如何导致大尺度速度波动，表现为全局雪崩，并确定了局部活动簇在全局雪崩中可能组织的三种不同方式，这取决于离临界值的距离。我们的分析提供了局部爆发和全局雪崩的大小和持续时间的统计分布的幂律指数之间的新的标度关系。非均匀介质中的吸液流前沿被作为案例研究来验证这些标度关系。
