Interface dynamics at the depinning transition

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 $t^{{\beta }_{\ast }}$, where ${\beta }_{\ast }\simeq 0.21$. This is associated with the existence of a local roughness exponent ${\alpha }_{loc}\simeq 1$ that differs from the global one $\alpha \simeq 1.2$. 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.

To appear in Journal de Physique I, 6 pages, 4 figures included using epfs macros

References in corpus (2)

• Scaling Behavior of Driven Interfaces Above the Depinning Transition
• Scaling Relations and Exponents in the Growth of Rough Interfaces Through Random Media

Cited by in corpus (9)

• Universality classes in nonequilibrium lattice systems
• Generic Dynamic Scaling in Kinetic Roughening
• Anomalous scaling in a non local growth model in the Kardar-Parisi-Zhang universality class
• The Oslo model, hyperuniformity, and the quenched Edwards-Wilkinson model
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• Dynamic effect of overhangs and islands at the depinning transition in two-dimensional magnets
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• Hamiltonian equation of motion and depinning phase transition in two-dimensional magnets
• Scaling properties of a ferromagnetic thin film model at the depinning transition