Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles

Abstract

We present a microscopic theory for the nonequilibrium interfacial tension ${\gamma }_{\mathrm{gl}}$ of the free interface between gas and liquid phases of active Brownian particles. The underlying square gradient treatment and the splitting of the force balance in flow and structural contributions is general and applies to inhomogeneous nonequilibrium steady states. We find ${\gamma }_{\mathrm{gl}}\ge 0$, which opposes claims by Bialké et al. [Phys. Rev. Lett. $115$, 098301 (2015)] and delivers the theoretical justification for the widely observed interfacial stability in active Brownian dynamics many-body simulations.

arXiv comment6 pages, 1 figure

References in corpus (22)

• Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
• Effective Interactions in Active Brownian Suspensions
• Morphological Thermodynamics of Fluids: Shape Dependence of Free Energies
• Negative interfacial tension in phase-separated active suspensions
• Curvature Dependence of Surface Free Energy of Liquid Drops and Bubbles: A Simulation Study
• Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles
• Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
• Towards a statistical mechanical theory of active fluids
• Critical behavior of active Brownian particles
• Power functional theory for Brownian dynamics
• Chemical potential in active systems: predicting phase equilibrium from bulk equations of state?
• 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
• Phase coexistence of active Brownian particles
• Superadiabatic forces in Brownian many-body dynamics
• Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
• Local stress and pressure in an inhomogeneous system of spherical active Brownian particles
• Effective equilibrium states in the colored-noise model for active matter II. A unified framework for phase equilibria, structure and mechanical properties
• Nonequilibrium phase behaviour from minimization of free power dissipation
• Custom flow in overdamped Brownian Dynamics
• Viscous fingering at ultralow interfacial tension
• The local structure factor near an interface; Beyond extended Capillary-Wave models

Cited by in corpus (31)

• Self-Organized Critical Coexistence Phase in Repulsive Active Particles
• Power functional theory for many-body dynamics
• Flocking without alignment interactions in attractive active Brownian particles
• Capillary interfacial tension in active phase separation
• Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation
• Noether's Theorem in Statistical Mechanics
• Collective forces in scalar active matter
• Phase separation and nucleation in mixtures of particles with different temperatures
• Coexistence of active Brownian discs: Van der Waals theory and analytical results
• Why Noether's Theorem applies to Statistical Mechanics
• Perspective: How to overcome dynamical density functional theory
• Force density functional theory in- and out-of-equilibrium
• Inclusions, Boundaries and Disorder in Scalar Active Matter
• Phase separation of active Brownian particles in two dimensions: Anything for a quiet life
• Active interface polarization is a state function
• Theory of Capillary Tension and Interfacial Dynamics of Motility-Induced Phases
• Universality in Driven and Equilibrium Hard Sphere Liquid Dynamics
• Structure of liquid--vapor interfaces: perspectives from liquid state theory, large-scale simulations, and potential grazing-incidence X-ray diffraction
• The Mechanics of Nucleation and Growth and the Surface Tensions of Active Matter
• Dynamic Overlap Concentration Scale of Active Colloids
• Phase Separation, Capillarity, and Odd Surface Flows in Chiral Active Matter
• Dynamic Decay and Superadiabatic Forces in the van Hove Dynamics of Bulk Hard Sphere Fluids
• Active crystallization from power functional theory
• Wetting by active fluids
• Reconsidering Power Functional Theory
• Phase Behavior and Dynamics of Active Brownian Particles in an Alignment Field
• Metadensity functional learning for classical fluids: Regularizing with pair correlations
• Dynamics and rupture of doped Motility Induced Phase Peparation
• Wetting transition of active Brownian particles on a thin membrane
• An Infinite Set of Integral Formulae for Polar, Nematic, and Higher Order Structures at the Interface of Motility-Induced Phase Separation
• Effective interactions in active Brownian particles