1997/06/11 by Juan M. Lopez, Juan M. López, Miguel A. Rodríguez +1 · 1 citation
Materials Science · Physics and Astronomy · #Material Dynamics and Properties #Theoretical and Computational Physics #cond-mat #stochastic dynamics and bifurcation
paper · pdf · doi:10.1051/jp1:1997116
To appear in Journal de Physique I, 6 pages, 4 figures included using epfs macros
arxiv created 1997/06/11 · openalex publication_date 1997/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the local scaling properties of driven interfaces in disordered media modeled by the Edwards-Wilkinson equation with quenched noise. We find that, due to the super-rough character of the interface close to the depinning transition, the local width exhibits an anomalous temporal scaling. It does not saturate at a characteristic time ts(l)∼lz as expected, but suffers an anomalous temporal crossover to a different time regime tβ*, where β*≃0.21. This is associated with the existence of a local roughness exponent αloc≃1 that differs from the global one α≃1.2. The relevance of the typical size of pinned sites regions near the critical point investigated and the definition of the critical depinning is discussed.