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

TL;DR

This paper investigates the dynamic scaling behavior of interfacial roughening in non-ideal fluids, analyzing both weak and strong damping regimes through simulations, and finds that the scaling differs between these regimes.

Contribution

It extends previous work by including the strong-damping regime and uses fluctuating hydrodynamics simulations to analyze the differences in dynamic scaling.

Findings

Dynamic scaling differs between weak and strong damping regimes.

Simulations confirm distinct scaling behaviors in different damping conditions.

The study broadens understanding of interfacial roughening in non-ideal fluids.

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.