Domain Growth Kinetics in Active Binary Mixtures

Abstract

We study motility-induced phase separation (MIPS) in symmetric and asymmetric active binary mixtures. We start with the coarse-grained run-and-tumble bacterial model that provides evolution equations for the density fields ${\rho }_i(\vec{r},t)$. Next, we study the phase separation dynamics by solving the evolution equations using the Euler discretization technique. We characterize the morphology of domains by calculating the equal-time correlation function $C(r,t)$ and the structure factor $S(k,t)$, both of which show dynamical scaling. The form of the scaling functions depends on the mixture composition and the relative activity of the species, $\Delta$. For $k\to \infty$, $S(k,t)$ follows Porod's law: $S(k,t)\sim k^{-(d+1)}$ and the average domain size $L(t)$ shows a diffusive growth as $L(t)\sim t^{1/3}$ for all mixtures.

19 Pages,11 Figures,

References in corpus (28)

• Novel type of phase transition in a system of self-driven particles
• Theory of Phase Ordering Kinetics
• The Mechanics and Statistics of Active Matter
• Motility-Induced Phase Separation
• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Statistical Mechanics of Interacting Run-and-Tumble Bacteria
• Dynamic clustering in active colloidal suspensions with chemical signaling
• When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
• Langevin Equation for the Density of a System of Interacting Langevin Processes
• Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
• A continuum theory of phase separation kinetics for active Brownian particles
• Phase behaviour of active Brownian particles: The role of dimensionality
• Scalar ${\varphi }^4$ field theory for active-particle phase separation
• Phase separation and rotor self-assembly in active particle suspensions
• Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
• Active Turbulence
• Nonreciprocity as a generic route to traveling states
• Scalar Active Mixtures: The Non-Reciprocal Cahn-Hilliard Model
• Vorticity, Defects and Correlations in Active Turbulence
• Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation
• Freezing a Flock: Motility-Induced Phase Separation in Polar Active Liquids
• Nonequilibrium dynamics of mixtures of active and passive colloidal particles
• Pattern formation in flocking models: A hydrodynamic description
• Time-reversal symmetry breaking hidden order in Sr${}_2$(Ir,Rh)O${}_4$
• An Introduction to Motility-Induced Phase Separation
• Rheology of active fluids
• Ordering Kinetics in the Active Model B
• Domain Growth in the Active Model B: Critical and Off-critical Composition

Cited by in corpus (4)

• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thinning Medium
• Velocity Distribution and Diffusion of an Athermal Inertial Run-and-Tumble Particle in a Shear-Thickening Medium
• Phase Separation in Active Binary Mixtures With Chemical Reaction
• Derivation and Analysis of Amplitude Equation for Generalized AMB+ in Presence of Chemical Reaction