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Capillary wave; Dynamic scaling; Dynamic scaling behavior; Equilibrium state; Flat interface; Fluctuating hydrodynamics; Fluid interface; Interfacial roughening; Kardar-Parisi-Zhang universality class; Lattice Boltzmann method; Non-equilibrium process; Non-ideal fluid; Two-dimension, Computational fluid dynamics; Damping; Excited states, Interface states, article; chemical model; chemical structure; chemistry; computer simulation; nonlinear system; solution and solubility; surface property, Computer Simulation; Models, Chemical; Models, Molecular; Nonlinear Dynamics; Solutions; Surface Properties
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.
