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

Pradas, Marc; López, Juan M. and Hernández-Machado, A. (2007). Time-dependent couplings and crossover length scales in nonequilibrium surface roughening. Physical Review E, 76(1) 010102.

DOI: https://doi.org/10.1103/PhysRevE.76.010102

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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