2007/07/18 by Erkan Tuzel, E. Tüzel, G. Pan +5 · 34 citations
Materials Science · Physics and Astronomy · #Binary number #Block Copolymer Self-Assembly #Capillary action #Dynamics (music) #Equation of state #Fluctuation spectrum #Material Dynamics and Properties #Mesoscopic physics #Momentum (technical analysis) #Phase diagram #Pickering emulsions and particle stabilization #Ternary operation #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1209/0295-5075/80/40010
published in Europhysics Letters (EPL) 80(4), 40010 (Institute of Physics) · 7 pages including 6 figures
arxiv created 2007/07/18 · openalex publication_date 2007/10/23 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.