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Nonequilibrium wetting of finite samples

2005/03/31 by Thomas Kissinger, Andreas Kotowicz, Oliver Kurz +2 · 3 citations
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2005/06/p06002

published as JSTAT 0605 (2005) P06002 · 17 pages, 8 figures, revision

openalex publication_date 2005/06/03 · arxiv created 2006/03/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study, as a canonical model for wetting far from thermal equilibrium, a Kardar–Parisi–Zhang interface growing on top of a hard-core substrate. Depending on the average growth velocity, the model can exhibit a nonequilibrium wetting transition which is characterized by an additional surface critical exponent θ. Simulating the single-step model in one spatial dimension we provide accurate numerical estimates for θ and investigate the distribution of contact points between the substrate and the interface as a function of time. Moreover, we study the influence of finite size effects, in particular the time needed for a finite substrate to become completely covered by the wetting layer for the first time.

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