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

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.

15 pages, 9 figures

References in corpus (4)

• Statistical Mechanics of the Fluctuating Lattice Boltzmann Equation
• On the spectrum of fluctuations of a liquid surface: From the molecular scale to the macroscopic scale
• Thermal fluctuations in the lattice Boltzmann method for non-ideal fluids
• Langevin theory of fluctuations in the discrete Boltzmann equation

Cited by in corpus (1)

• Corrections to scaling in the dynamic approach to the phase transition with quenched disorder