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Interfacial roughening in nonideal fluids: Dynamic scaling in the weak- and strong-damping regime

Markus Gross1,* and Fathollah Varnik1,2

  • 1Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstr. 90a, 44789 Bochum, Germany
  • 2Max-Planck Institut für Eisenforschung, Max-Planck Str. 1, 40237 Düsseldorf, Germany

  • *markus.gross@rub.de
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Phys. Rev. E 87, 022407 – Published 25 February, 2013

DOI: https://doi.org/10.1103/PhysRevE.87.022407

Abstract

Interfacial roughening denotes the nonequilibrium process by which an initially flat interface reaches its equilibrium state, characterized by the presence of thermally excited capillary waves. Roughening of fluid interfaces has been first analyzed by Flekkoy and Rothman [Phys. Rev. Lett. 75, 260 (1995)], where the dynamic scaling exponents in the weakly damped case in two dimensions were found to agree with the Kardar-Parisi-Zhang universality class. We extend this work by taking into account also the strong-damping regime and perform extensive fluctuating hydrodynamics simulations in two dimensions using the Lattice Boltzmann method. We show that the dynamic scaling behavior is different in the weakly and strongly damped case.

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Phys. Rev. E 87, 022407– Published 25 February, 2013
  • Received 2 October 2012

©2013 American Physical Society

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