Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions
arXiv:1612.08404 · doi:10.1103/PhysRevE.95.052142
Abstract
We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the par- ticle dynamics with the non-equilibrium many-particle probability density, whose formal expression is found in the physically relevant limit of high-friction through a multiple-time-scale analysis. This approach permits to identify the conditions under which self-propulsion can be subsumed into the fluid stress tensor and thus to define systematically and unambiguously the local pressure of the active fluid.
References in corpus (14)
- Novel type of phase transition in a system of self-driven particles
- Interaction Ruling Animal Collective Behaviour Depends on Topological rather than Metric Distance: Evidence from a Field Study
- How far from equilibrium is active matter?
- Hydrodynamics of self-propulsion near a boundary: predictions and accuracy of far-field approximations
- Diffusive transport without detailed balance in motile bacteria: Does microbiology need statistical physics?
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
- Effective Interactions in Active Brownian Suspensions
- Probability currents as principal characteristics in the statistical mechanics of non-equilibrium steady states
- Stochastic thermodynamics for active matter
- Curvature Induced Activation of a Passive Tracer in an Active Bath
- Dense colloidal suspensions under time-dependent shear
- Interacting Brownian dynamics in a nonequilibrium particle bath
- Ratchet Effects in Active Matter Systems
Cited by in corpus (21)
- An active approach to colloidal self-assembly
- Mechanical pressure and momentum conservation in dry active matter
- Collective forces in scalar active matter
- Local stress and pressure in an inhomogeneous system of spherical active Brownian particles
- Current fluctuations of interacting active Brownian particles
- Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Van't Hoff's law for active suspensions: the role of the solvent chemical potential
- Pair-distribution function of active Brownian spheres in two spatial dimensions: simulation results and analytic representation
- Critical behavior of active Brownian particles: Connection to field theories
- Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
- Statistical Mechanics of Transport Processes in Active Fluids II: Equations of Hydrodynamics for Active Brownian Particles
- Gap statistics of two interacting run and tumble particles in one dimension
- Response of active Brownian particles to boundary driving
- Molecular hydrodynamic theory of the velocity autocorrelation function
- Memory Effects in Active Particles with Exponentially Correlated Propulsion
- From a microscopic solution to a continuum description of active particles with a recoil interaction in one dimension
- Brownian Thermometry Beyond Equilibrium
- Transition-path sampling for Run-and-Tumble particles
- Microscopic analysis of thermo-orientation in systems of off-centre Lennard-Jones particles
- Hydrodynamics of simple active liquids: the emergence of velocity correlations