Spinodal Decomposition in Binary Gases

Abstract

We carried out three-dimensional simulations, with about 1.4 million particles, of phase segregation in a low density binary fluid mixture, described mesoscopically by energy and momentum conserving Boltzmann-Vlasov equations. Using a combination of Direct Simulation Monte Carlo(DSMC) for the short range collisions and a version of Particle-In-Cell(PIC) evolution for the smooth long range interaction, we found dynamical scaling after the ratio of the interface thickness(whose shape is described approximately by a hyperbolic tangent profile) to the domain size is less than ~0.1. The scaling length R(t) grows at late times like t^alpha, with alpha=1 for critical quenches and alpha=1/3 for off-critical ones. We also measured the variation of temperature, total particle density and hydrodynamic velocity during the segregation process.

11 pages, Revtex, 4 Postscript figures, submitted to PRL

References in corpus (5)

• Theory of Phase Ordering Kinetics
• Hydrodynamic Spinodal Decomposition: Growth Kinetics and Scaling Functions
• Molecular Dynamics Simulation of Spinodal Decomposition in Three-Dimensional Binary Fluids
• New Hydrodynamic Mechanism for Drop Coarsening
• Spinodal decomposition in fluids: diffusive, viscous and inertial regimes

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• Tests of Dynamical Scaling in 3-D Spinodal Decomposition
• Simulations of amphiphilic fluids using mesoscale lattice-Boltzmann and lattice-gas methods
• Spinodal Decomposition in Thin Films: Molecular Dynamics Simulations of a Binary Lennard-Jones Fluid Mixture
• Binary Fluids with Long Range Segregating Interaction I: Derivation of Kinetic and Hydrodynamic Equations
• Surface-Directed Spinodal Decomposition in Binary Fluid Mixtures
• Three dimensional hydrodynamic lattice-gas simulations of domain growth and self-assembly in binary immiscible and ternary amphiphilic fluids
• A scaling theory of 3D spinodal turbulence
• Phase Transition in a Vlasov-Boltzmann Binary Mixture
• Fokker-Planck-Poisson kinetics: Multi-phase flow beyond equilibrium
• On self similarity and coarsening rate of a convecting bicontinuous phase separating mixture: effect of the viscosity contrast
• Kinetics of coarsening have dramatic effects on the microstructure: self-similarity breakdown induced by viscosity contrast
• Hydrodynamics of binary fluid phase segregation
• Phase segregation and interface dynamics in kinetic systems
• Persistence exponents in a 3D symmetric binary fluid mixture
• Stability of the Front under a Vlasov-Fokker-Planck Dynamics