Kinetic roughening with multiplicative noise

T. Vicsek, E. Somfai, M. Vicsek

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Abstract

In this letter a new approach to the investigation of the effects of quenched randomness in the experiments on kinetic roughening is introduced by considering a stochastic differential equation for the surface development with a multiplicative noise. The authors argue that this type of noise corresponds to the experimental situation in cases when the development of the interface is dominated by pinning forces. By numerically integrating the proposed equation they have obtained (i) surfaces remarkably similar to those observed in the experiments and (ii) a scaling of the surface width as a function of time with an exponent being in an excellent agreement with the measured value. Variations of the model, crossovers and questions concerning the applicability of additive noise to wetting experiments are also discussed.

Original languageEnglish
Article number002
Pages (from-to)L763-L768
JournalJournal of Physics A: Mathematical and General
Volume25
Issue number13
DOIs
Publication statusPublished - Dec 1 1992

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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