Mesoscopic model for the fluctuating hydrodynamics of binary and ternary mixtures

Abstract

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 line tension obtained from the analysis of the capillary wave spectrum of a 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.

7 pages including 6 figures

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Cited by in corpus (8)

• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Mesoscopic lattice Boltzmann modeling of soft-glassy systems: theory and simulations
• Efficient mesoscale hydrodynamics: multiparticle collision dynamics with massively parallel GPU acceleration
• Thermostat for non-equilibrium multiparticle collision dynamics simulations
• Stochastic Rotation Dynamics simulations of wetting multi-phase flows
• Hydrodynamics of Binary Fluid Mixtures - An Augmented Multiparticle Collison Dynamics Approach
• Hydrodynamics of Immiscible Binary Fluids with Viscosity Contrast: A multiparticle collision dynamics approach
• Transport coefficients of multi-particle collision algorithms with velocity-dependent collision rules