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

Year: 2007
  • Pradas, M
  • M., López J.
  • Hernández-Machado, A.
Journal: Physical Review E Volume: 76
Pages: 010102-1(R)-010102-4
ISSN: 1539-3755
AUTHOR MODIFIED BY PROCESS. ORIGINAL IS: Pradas, M; López J. M.; Hernández-Machado, A.
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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