Non-Equilibrium Surface Tension of the Vapour-Liquid Interface of Active Lennard-Jones Particles
arXiv:1706.03007 · doi:10.1063/1.4989764
Abstract
We study a three-dimensional system of self-propelled Brownian particles interacting via the Lennard-Jones potential. Using Brownian Dynamics simulations in an elongated simulation box, we investigate the steady states of vapour-liquid phase coexistence of active Lennard-Jones particles with planar interfaces. We measure the normal and tangential components of the pressure tensor along the direction perpendicular to the interface and verify mechanical equilibrium of the two coexisting phases. In addition, we determine the non-equilibrium interfacial tension by integrating the difference of the normal and tangential component of the pressure tensor, and show that the surface tension as a function of strength of particle attractions is well-fitted by simple power laws. Finally, we measure the interfacial stiffness using capillary wave theory and the equipartition theorem, and find a simple linear relation between surface tension and interfacial stiffness with a proportionality constant characterized by an effective temperature.
arXiv comment12 pages, 5 figures (Corrected typos and References)
References in corpus (38)
- Dynamical clustering and phase separation in suspensions of self-propelled colloidal particles
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Long-lived Giant Number Fluctuations in a Swarming Granular Nematic
- Microswimmers in Patterned Environments
- Sedimentation of active colloidal suspensions
- When are active Brownian particles and run-and-tumble particles equivalent? Consequences for motility-induced phase separation
- Pressure is not a state function for generic active fluids
- Extended corresponding-states behavior for particles with variable range attractions
- A continuum theory of phase separation kinetics for active Brownian particles
- Phase behaviour of active Brownian particles: The role of dimensionality
- Scalar field theory for active-particle phase separation
- Hydrodynamics determines collective motion and phase behavior of active colloids
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Phase separation and rotor self-assembly in active particle suspensions
- Microscopic theory for the phase separation of self-propelled repulsive disks
- Effective Interactions in Active Brownian Suspensions
- Freezing and phase separation of self-propelled disks
- Towards a 'Thermodynamics' of Active Matter
- Cooperative Motion of Active Brownian Spheres in Three-Dimensional Dense Suspensions
- Why is surface tension a force parallel to the interface?
- Nonequilibrium equation of state in suspensions of active colloids
- Negative interfacial tension in phase-separated active suspensions
- Reentrant Phase Behavior in Active Colloids with Attraction
- Collective Thermotaxis of Thermally Active Colloids
- Phase diagram and universality of the Lennard-Jones gas-liquid system
- Virial pressure in systems of active Brownian particles
- Living clusters and crystals from low density suspensions of active colloids
- Capillary Waves at Liquid/Vapor Interfaces: A Molecular Dynamics Simulation
- Towards a statistical mechanical theory of active fluids
- Stochastic thermodynamics for active matter
- Ideal bulk pressure of active Brownian particles
- Capillary-Wave and Chain-Length Effects at Polymer/Polymer Interfaces
- Interface stability, interface fluctuations, and the Gibbs-Thomson relation in motility-induced phase separations
- Wall-Fluid and Liquid-Gas Interfaces of Model Colloid-Polymer Mixtures by Simulation and Theory
- Mesoscopic virial equation for nonequilibrium statistical mechanics
- Vapour-Liquid Coexistence of an Active Lennard-Jones fluid
- Capillary waves at the liquid-vapor interface and the surface tension of water models
Cited by in corpus (31)
- Time-(ir)reversibility in active matter: from micro to macro
- A particle-field representation unifies paradigms in active matter
- Chemical potential in active systems: predicting phase equilibrium from bulk equations of state?
- Flocking without alignment interactions in attractive active Brownian particles
- Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
- Curvature-dependent tension and tangential flows at the interface of motility-induced phases
- Active engines: Thermodynamics moves forward
- Noether's Theorem in Statistical Mechanics
- Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles
- Phase coexistence of active Brownian particles
- Collective forces in scalar active matter
- Active phase separation: new phenomenology from non-equilibrium physics
- Why Noether's Theorem applies to Statistical Mechanics
- Surface Tensions between Active Fluids and Solid Interfaces: bare vs dressed
- Pressure, surface tension and curvature in active systems: A touch of equilibrium
- Adaptive Brownian Dynamics
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Morphological transitions of active Brownian particle aggregates on porous walls
- Designing, Synthesizing and Modeling Active Fluids
- Polarization-Density Patterns of Active Particles in Motility Gradients
- Statistical Mechanics of Transport Processes in Active Fluids II: Equations of Hydrodynamics for Active Brownian Particles
- Phase separation of active Brownian particles in two dimensions: Anything for a quiet life
- Active interface polarization is a state function
- Aggregate morphology of active Brownian particles on porous, circular walls
- Interface height fluctuations and surface tension of driven liquids with time-dependent dynamics
- Percolation transition in phase separating active fluid
- The "isothermal" compressibility of active matter
- Hyperuniform interfaces in non-equilibrium phase coexistence
- Wetting by active fluids
- 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