Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations

Abstract

Minimal models of self-propelled particles with short-range volume exclusion interactions have been shown to exhibit signatures of phase separation. Here I show that the observed interfacial stability and fluctuations in motility-induced phase separations (MIPS) can be explained by modeling the microscopic dynamics of the active particles in the interfacial region. In addition, I demonstrate the validity of the Gibbs-Thomson relation in MIPS, which provides a functional relationship between the size of a condensed drop and its surrounding vapor concentration. As a result, the coarsening dynamics of MIPS at vanishing supersaturation follows the classic Lifshitz-Slyozov scaling law at the late stage.

11 pages, 6 figures

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Cited by in corpus (28)

• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
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• Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
• Capillary interfacial tension in active phase separation
• Curvature-dependent tension and tangential flows at the interface of motility-induced phases
• Non-Equilibrium Surface Tension of the Vapour-Liquid Interface of Active Lennard-Jones Particles
• Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles
• Phase coexistence of active Brownian particles
• Active phase separation: new phenomenology from non-equilibrium physics
• Phase separation and nucleation in mixtures of particles with different temperatures
• Novel physics arising from phase transitions in biology
• Morphological transitions of active Brownian particle aggregates on porous walls
• Interface roughening in nonequilibrium phase-separated systems
• Active fluids at circular boundaries: Swim pressure and anomalous droplet ripening
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Aggregate morphology of active Brownian particles on porous, circular walls
• Interface height fluctuations and surface tension of driven liquids with time-dependent dynamics
• Statistical properties of microphase and bubbly phase-separated active fluids
• Phase separation of active Brownian particles on curved surfaces
• The Mechanics of Nucleation and Growth and the Surface Tensions of Active Matter
• Hyperuniform interfaces in non-equilibrium phase coexistence
• Dynamic Overlap Concentration Scale of Active Colloids
• Phase Separation, Capillarity, and Odd Surface Flows in Chiral Active Matter
• Interfacial and density fluctuations in a lattice model of motility-induced phase separation
• Active wetting transitions induced by rotational noise at solid interfaces
• Modeling growing confluent tissues using a lattice Boltzmann method: interface stability and fluctuations
• An Infinite Set of Integral Formulae for Polar, Nematic, and Higher Order Structures at the Interface of Motility-Induced Phase Separation
• Conservation laws and slow dynamics determine the universality class of interfaces in active matter