Time-dependent couplings and crossover length scales in nonequilibrium surface roughening.

Phys Rev E Stat Nonlin Soft Matter Phys

Departament d'Estructura i Constituents de la Matèria, Universitat de Barcelona, Avinguda Diagonal 647, E-08028 Barcelona, Spain.

Published: July 2007

AI Article Synopsis

  • Time-dependent couplings can affect scaling properties of surface fluctuations in nonequilibrium kinetic roughening models.
  • Anomalous scaling can occur during crossovers between different rough regimes, especially above a certain crossover length.
  • The study also contributes to discussions on spontaneous imbibition, highlighting the role of time-dependent couplings in both theoretical models and experiments.

Article Abstract

We show that time-dependent couplings may lead to nontrivial scaling properties of the surface fluctuations of the asymptotic regime in nonequilibrium kinetic roughening models. Three typical situations are studied. In the case of a crossover between two different rough regimes, the time-dependent coupling may result in anomalous scaling for scales above the crossover length. In a different setting, for a crossover from a rough to either a flat or damping regime, the time-dependent crossover length may conspire to produce a rough surface, although the most relevant term tends to flatten the surface. In addition, our analysis sheds light into an existing debate in the problem of spontaneous imbibition, where time-dependent couplings naturally arise in theoretical models and experiments.

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Source
http://dx.doi.org/10.1103/PhysRevE.76.010102DOI Listing

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