Year: 1997
Type: article
Abstract: 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 $t_s(l) \sim l^z$ as expected, but suffers an anomalous temporal crossover to a different time regime $t^{β_*}$, where $β_* \simeq 0.21 $. This is associated with the existence of a local roughness exponent $α_{loc} \simeq 1$ that differs from the global one $α\simeq 1.2$. The relevance of the typical size of pinned sites regions near the critical point is investigated and the definition of the critical depinning is dicussed.
Source: Journal de Physique I
DOI: 10.1051/jp1:1997116
Authors: Juan M. López, Miguel A. Rodríguez
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1481402278