Coexistence of active Brownian discs: Van der Waals theory and analytical results
arXiv:2010.13227 · doi:10.1103/PhysRevE.103.012607
Abstract
At thermal equilibrium, intensive quantities like temperature and pressure have to be uniform throughout the system, restricting inhomogeneous systems composed of different phases. The paradigmatic example is the coexistence of vapor and liquid, a state that can also be observed for active Brownian particles steadily driven away from equilibrium. Recently, a strategy has been proposed that allows to predict phase equilibria of active particles [Phys. Rev. E \textbf{97}, 020602(R)(2018)]. Here we elaborate on this strategy and formulate it in the framework of a van der Waals theory for active discs. For a given equation of state, we derive the effective free energy analytically and show that it yields coexisting densities in very good agreement with numerical results. We discuss the interfacial tension and the relation to Cahn-Hilliard models.
References in corpus (11)
- Motility-Induced Phase Separation
- Statistical Mechanics of Interacting Run-and-Tumble Bacteria
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Towards a 'Thermodynamics' of Active Matter
- An introduction to the Ginzburg-Landau theory of phase transitions and nonequilibrium patterns
- Dynamical mean-field theory and weakly non-linear analysis for the phase separation of active Brownian particles
- Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
- Non-negative Interfacial Tension in Phase-Separated Active Brownian Particles
- Phase coexistence of active Brownian particles
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Systematic extension of the Cahn-Hilliard model for motility-induced phase separation
Cited by in corpus (21)
- Non-reciprocity across scales in active mixtures
- Mechanical Theory of Nonequilibrium Coexistence and Motility-Induced Phase Separation
- Active phase separation: new phenomenology from non-equilibrium physics
- Microscopic theory for hyperuniformity in two-dimensional chiral active fluid
- Critical behavior of active Brownian particles: Connection to field theories
- Inclusions, Boundaries and Disorder in Scalar Active Matter
- Force generation in confined active fluids: The role of microstructure
- Phase separation of active Brownian particles in two dimensions: Anything for a quiet life
- Anomalous fluctuations in homogeneous fluid phase of active Brownian particles
- Phase Coexistence in Nonreciprocal Quorum-Sensing Active Matter
- Kinetic temperature and pressure of an active Tonks gas
- Nematic Torques in Scalar Active Matter: when Fluctuations Favor Polar Order and Persistence
- Time-dependent properties of run-and-tumble particles: Density relaxation
- Active crystallization from power functional theory
- Phase Behavior and Dynamics of Active Brownian Particles in an Alignment Field
- Synthetic Quorum Sensing and Absorbing Phase Transitions in Colloidal Active Matter
- Theory of Nonequilibrium Coexistence with Coupled Conserved and Nonconserved Order Parameters
- Statistics and morphologies of stable droplets in scalar active fluids
- Steady inhomogeneous shear flows as mechanical phase transitions
- Wetting transition of active Brownian particles on a thin membrane
- Hydrodynamics of simple active liquids: the emergence of velocity correlations