Dynamics of surface roughening with quenched disorder

S. Havlin; L. A.N. Amaral; S. V. Buldyrev; S. T. Harrington; H. E. Stanley

doi:10.1103/PhysRevLett.74.4205

Dynamics of surface roughening with quenched disorder

S. Havlin, L. A.N. Amaral, S. V. Buldyrev, S. T. Harrington, H. E. Stanley

Department of Physics - at Bar-Ilan University

Boston University

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20 Scopus citations

Abstract

We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.

Original language	English
Pages (from-to)	4205-4208
Number of pages	4
Journal	Physical Review Letters
Volume	74
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.74.4205
State	Published - 1995

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10.1103/PhysRevLett.74.4205

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abstract = "We study the dynamical exponent z for the directed percolation depinning (DPD) class of models for surface roughening in the presence of quenched disorder. We argue that z for d+1 dimensions is equal to the exponent dmin characterizing the shortest path between two sites in an isotropic percolation cluster in d dimensions. To test the argument, we perform simulations and calculate z for DPD, and dmin for percolation, from d=1 to d=6.",

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Dynamics of surface roughening with quenched disorder

Abstract

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