Volume 80, Number 4, November 2007
|Number of page(s)||6|
|Published online||23 October 2007|
Mesoscopic model for the fluctuating hydrodynamics of binary and ternary mixtures
Department of Physics, North Dakota State University - P.O. Box 5566, Fargo, ND 58105, USA
Accepted: 18 September 2007
A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model immiscible binary mixtures. Excluded-volume interactions between the two components are modeled by stochastic multiparticle collisions which depend on the local velocities and densities. Momentum and energy are conserved locally, and entropically driven phase separation occurs for high collision rates. An explicit expression for the equation of state is derived, and the concentration dependence of the bulk free energy is shown to be the same as that of the Widom-Rowlinson model. Analytic results for the phase diagram are in excellent agreement with simulation data. Results for the interfacial tension obtained from the analysis of the capillary wave spectrum of a two-dimensional droplet agree with measurements based on the Laplace's equation. The introduction of “amphiphilic” dimers makes it possible to model the phase behavior and dynamics of ternary surfactant mixtures.
PACS: 02.70.Ns – Molecular dynamics and particle methods / 47.11.-j – Computational methods in fluid dynamics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© Europhysics Letters Association, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.