Nonequilibrium mixture dynamics: A model for mobilities and its consequences
arXiv:2302.02775 · doi:10.1063/5.0147206
Abstract
Extending the famous Model B for the time evolution of a liquid mixture, we derive an approximate expression for the mobility matrix that couples the different mixture components. This approach is based on a single component fluid with particles that are artificially grouped into separate species labelled by ``colors''. The resulting mobility matrix depends on a single dimensionless parameter, which can be determined efficiently from experimental data or numerical simulations, and includes existing standard forms as special cases. We identify two distinct mobility regimes, corresponding to collective motion and interdiffusion, respectively, and show how they emerge from the microscopic properties of the fluid. As a test scenario, we study the dynamics after a thermal quench, providing a number of general relations and analytical insights from a Gaussian theory. Specifically, for systems with two or three components, analytical results for the time evolution of the equal time correlation function compare well to results of Monte Carlo simulations of a lattice gas. A rich behavior is observed, including the possibility of transient fractionation.
References in corpus (34)
- Theory of Phase Ordering Kinetics
- Langevin Equation for the Density of a System of Interacting Langevin Processes
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Physics of Active Emulsions
- Mode-Coupling Theory of the Glass Transition: A Primer
- Phase behavior and morphology of multicomponent liquid mixtures
- Phase Separation in One-Dimensional Driven Diffusive Systems
- Predicting phase equilibria in polydisperse systems
- Structural relaxation of polydisperse hard spheres: comparison of the mode-coupling theory to a Langevin dynamics simulation
- Power functional theory for Brownian dynamics
- Quasichemical Models of Multicomponent Nonlinear Diffusion
- Self-assembly of biomolecular condensates with shared components
- Power functional theory for many-body dynamics
- Evolved interactions stabilize many coexisting phases in multicomponent liquids
- Aspects of the dynamics of colloidal suspensions: Further results of the mode-coupling theory of structural relaxation
- Non-equilibrium Casimir-like Forces in Liquid Mixtures
- The out of equilibrium behavior of Casimir type fluctuation induced forces for free classical fields
- Stresses in non-equilibrium fluids: Exact formulation and coarse grained theory
- Equilibrium dynamics of the Dean-Kawasaki model: MCT and beyond
- Fluid-fluid phase separation in hard spheres with a bimodal size distribution
- Dynamical density functional theory for dense suspensions of colloidal hard spheres
- Transient Casimir forces from quenches in thermal and active matter
- Aging dynamics and density relaxation in granular compaction
- Phase behaviour and particle-size cutoff effects in polydisperse fluids
- Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory
- Non-equilibrium forces following quenches in active and thermal matter
- Nonequilibrium fluctuation-induced Casimir pressures in liquid mixtures
- A Gaussian theory for fluctuations in simple liquids
- Critical phase behavior in multi-component fluid mixtures: Complete scaling analysis
- Phase separation dynamics of polydisperse colloids: a mean-field lattice-gas theory
- Instabilities of complex fluids with partially structured and partially random interactions
- Dynamics of Polydisperse Polymer Mixtures
- Phase separation of mixtures after a second quench: composition heterogeneities
- Multiphase coexistence in polydisperse colloidal mixtures