Green-Kubo approach to the average swim speed in active Brownian systems
arXiv:1608.08095 · doi:10.1063/1.4966153
Abstract
We develop an exact Green-Kubo formula relating nonequilibrium averages in systems of interacting active Brownian particles to equilibrium time-correlation functions. The method is applied to calculate the density-dependent average swim speed, which is a key quantity entering coarse grained theories of active matter. The average swim speed is determined by integrating the equilibrium autocorrelation function of the interaction force acting on a tagged particle. Analytical results are validated using Brownian dynamics simulations.
References in corpus (9)
- Motility-Induced Phase Separation
- Athermal Phase Separation of Self-Propelled Particles with no Alignment
- Pressure and Phase Equilibria in Interacting Active Brownian Spheres
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Arrested phase separation in reproducing bacteria: a generic route to pattern formation?
- Effective Cahn-Hilliard equation for the phase separation of active Brownian particles
- Integration through transients for Brownian particles under steady shear
- First-Principles Constitutive Equation for Suspension Rheology
- Generalized Einstein or Green-Kubo relations for active biomolecular transport
Cited by in corpus (24)
- Classical dynamical density functional theory: from fundamentals to applications
- Mode-Coupling Theory for Active Brownian Particles
- Velocity alignment promotes motility-induced phase separation
- Effective equilibrium states in the colored-noise model for active matter I. Pairwise forces in the Fox and unified colored noise approximations
- Linear response theory and Green-Kubo relations for active matter
- Brownian systems with spatially inhomogeneous activity
- Active-Particle Polarization Without Alignment Forces
- Predictive local field theory for interacting active Brownian spheres in two spatial dimensions
- Lorentz forces induce inhomogeneity and fluxes in active systems
- Collective dynamics of active Brownian particles in three spatial dimensions: a predictive field theory
- Oscillatory force autocorrelations in equilibrium odd-diffusive systems
- Photo-bioconvection: towards light-control of flows in active suspensions
- Linear response approach to active Brownian particles in time-varying activity fields
- Response of active Brownian particles to shear flow
- Inertial effects on the Brownian gyrator
- Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
- Polarization-Density Patterns of Active Particles in Motility Gradients
- Statistical mechanics of transport processes in active fluids: Equations of hydrodynamics
- Nondiffusive Fluxes in Brownian System with Lorentz Force
- Isotropic-nematic transition of self-propelled rods in three dimensions
- Generalized Fluctuation-Dissipation relations holding in non-equilibrium dynamics
- Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
- Using the fluctuation-dissipation theorem for nonconservative forces
- When velocity autocorrelations mirror force autocorrelations: Exact noise-cancellation in interacting Brownian systems