From multiplicative noise to directed percolation in wetting transitions

Details From multiplicative noise to directed percolation in wetting transitions From multiplicative noise to directed percolation in wetting transitions

2003-02-27

arxiv.org/abs/cond-mat/0302588v2

Phys. Rev. E 68, 065102(R) (2003).

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.68.065102

A simple one-dimensional microscopic model of the depinning transition of an interface from an attractive hard wall is introduced and investigated. Upon varying a control parameter, the critical behaviour observed along the transition line changes from a directed-percolation to a multiplicative-noise type. Numerical simulations allow for a quantitative study of the multicritical point separating the two regions, Mean-field arguments and the mapping on a yet simpler model provide some further insight on the overall scenario.

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