Interface Depinning in a Disordered Medium - Numerical Results

Details Interface Depinning in a Disordered Medium - Numerical Results Interface Depinning in a Disordered Medium - Numerical Results

1993-02-26

arxiv.org/abs/cond-mat/9302039v1

Physics

Condensed Matter

12 pages, (10 figures will be mailed upon request), Plain TeX, RUB-TP3-93-01

Scientific paper

10.1016/0378-4371(93)90161-V

We propose a lattice model to study the dynamics of a driven interface in a medium with random pinning forces. For driving forces F smaller than a threshold force F_c the whole interface gets pinned. The depinning transition can be characterized by a set of critical exponents: the static and dynamical roughness exponent, the velocity exponent defined by the scaling of the velocity of the interface with F-F_c, and a correlation length exponent. The critical exponents are determined numerically in 1+1 and 2+1 dimensions. Our findings are compared with recent numerical and analytical results for a Langevin equation with quenched noise, which is expected to be in the same universality class. Our results support a recent functional renormalization group calculation by T.Nattermann et.al. (J.Phys.II France 2, 1483 (1992)).

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