From multiplicative noise to directed percolation in wetting transitions

TL;DR

This paper introduces a one-dimensional microscopic model for interface depinning from a hard wall, revealing a transition from directed percolation to multiplicative noise behavior, with insights from simulations and mean-field analysis.

Contribution

It presents a novel microscopic model demonstrating a transition between two critical behaviors and analyzes the multicritical point with simulations and theoretical arguments.

Findings

Transition from directed percolation to multiplicative noise at criticality

Quantitative characterization of the multicritical point

Mean-field and simplified model insights into the transition

Abstract

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.