Le Priol Clément, Chopin Julien, Le Doussal Pierre, Ponson Laurent, Rosso Alberto
CNRS-Laboratoire de Physique de l'Ecole Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex, France.
Instituto de Física, Universidade Federal da Bahia, Salvador-BA, 40170-115, Brazil.
Phys Rev Lett. 2020 Feb 14;124(6):065501. doi: 10.1103/PhysRevLett.124.065501.
The propagation of a crack front in disordered materials is jerky and characterized by bursts of activity, called avalanches. These phenomena are the manifestation of an out-of-equilibrium phase transition originated by the disorder. As a result avalanches display universal scalings which are, however, difficult to characterize in experiments at a finite drive. Here, we show that the correlation functions of the velocity field along the front allow us to extract the critical exponents of the transition and to identify the universality class of the system. We employ these correlations to characterize the universal behavior of the transition in simulations and in an experiment of crack propagation. This analysis is robust, efficient, and can be extended to all systems displaying avalanche dynamics.
裂纹前沿在无序材料中的扩展是不连续的，其特征是出现一系列被称为雪崩的活跃爆发。这些现象是由无序引发的非平衡相变的表现。因此，雪崩呈现出普遍的标度律，然而，在有限驱动力的实验中很难对其进行表征。在此，我们表明，沿前沿的速度场的关联函数使我们能够提取相变的临界指数，并确定系统的普适类。我们利用这些关联来表征模拟和裂纹扩展实验中相变的普遍行为。这种分析方法稳健、高效，并且可以扩展到所有呈现雪崩动力学的系统。
