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

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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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PRADAS GENÉ, Marc, LÓPEZ MARTÍN, Juan manuel, HERNÁNDEZ MACHADO, Aurora. Time-dependent couplings and crossover length scales in nonequilibrium surface roughening. _Physical Review E_. 2007. Vol. 76, núm. 010102-1(R)-010102-4 (R). [consulta: 21 de gener de 2026]. ISSN: 1063-651X. [Disponible a: https://hdl.handle.net/2445/18743]

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