Avalanches and Correlations in Driven Interface Depinning

Details Avalanches and Correlations in Driven Interface Depinning Avalanches and Correlations in Driven Interface Depinning

1993-08-16

arxiv.org/abs/cond-mat/9308023v1

Physics

Condensed Matter

7 pages, (5 figures available upon request), REVTeX, RUB-TP3-93-02

Scientific paper

10.1103/PhysRevE.49.1238

We study the critical behavior of a driven interface in a medium with random pinning forces by analyzing spatial and temporal correlations in a lattice model recently proposed by Sneppen [Phys. Rev. Lett. {\bf 69}, 3539 (1992)]. The static and dynamic behavior of the model is related to the properties of directed percolation. We show that, due to the interplay of local and global growth rules, the usual method of dynamical scaling has to be modified. We separate the local from the global part of the dynamics by defining a train of causal growth events, or "avalanche", which can be ascribed a well-defined dynamical exponent $z_{loc} = 1 + \zeta_c \simeq 1.63$ where $\zeta_c$ is the roughness exponent of the interface. We observe that the avalanche size distribution obeys a power-law decay with an exponent $\kappa \simeq 1.25$.

Affiliated with

Also associated with

No associations

Rating

Avalanches and Correlations in Driven Interface Depinning does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Avalanches and Correlations in Driven Interface Depinning, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Avalanches and Correlations in Driven Interface Depinning will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297433