Pinning by directed percolation

Lei Han Tang, Heiko Leschhorn

Research output: Contribution to journalArticlepeer-review

218 Citations (Scopus)

Abstract

We propose directed percolation as a generic mechanism for interface pinning in a two-dimensional medium with quenched point disorder. The roughness of the interface just below a critical depinning transition is found to obey a power law with an exponent ζc=ν≃0.63. A moving interface near the transition is not self-affine, but may nevertheless be assigned an effective roughness exponent comparable to the values determined in fluid displacement experiments in porous media.
Original languageEnglish
Pages (from-to)R8309-R8312
Number of pages4
JournalPhysical Review A
Volume45
Issue number12
DOIs
Publication statusPublished - Jun 1992
Externally publishedYes

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