1995/02/08 by Hernán A. Makse, Hernan Makse · 6 citations
Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Computer science #Condensed matter physics #Geometry #Gravitational singularity #Interface (matter) #Interface model #Material Dynamics and Properties #Mathematics #Mechanics #Physics #Quantum mechanics #Singularity #Statistical physics #Theoretical and Computational Physics #Universality (dynamical systems) #cond-mat
paper · pdf · doi:10.1103/physreve.52.4080
published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics 52(4), 4080-4086 (American Physical Society) · 4 pages. REVTEX. 4 figs available on request from [email protected]
arxiv created 1995/02/08 · openalex publication_date 1995/10/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/05
A simple model for an interface moving in a disordered medium is presented. The model exhibits a transition between the two universality classes of interface growth in the presence of quenched disorder. Using this model, it is shown that the application of constraints to the local slopes of the interface produces avalanches of growth that become relevant in the vicinity of the depinning transition. The study of these avalanches reveals a singular behavior at the depinning transition that explains a recently oberved divergency in the equation of the interface. The anisotropy in the medium is also studied as a possible source of motion of the divergency in the equation of motion.