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

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Varnik,  Fathollah
Interdisciplinary Centre for Advanced Materials Simulation (ICAMS), Ruhr-Universität Bochum, Universitätsstraße 150, 44780 Bochum, Germany;
Theory and Simulation of Complex Fluids, Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society;

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Citation

Gross, M., & Varnik, F. (2013). Interfacial roughening in nonideal fluids: Dynamic scaling in the weak- and strong-damping regime. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 87(2): 022407. doi:10.1103/PhysRevE.87.022407.


Cite as: https://hdl.handle.net/21.11116/0000-0001-E3BE-9
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, 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. © 2013 American Physical Society.