Brownian systems with spatially inhomogeneous activity

Abstract

We generalize the Green-Kubo approach, previously applied to bulk systems of spherically symmetric active particles [J. Chem. Phys. 145, 161101 (2016)], to include spatially inhomogeneous activity. The method is applied to predict the spatial dependence of the average orientation per particle and the density. The average orientation is given by an integral over the self-part of the van Hove function and a simple Gaussian approximation to this quantity yields an accurate analytical expression. Taking this analytical result as input to a dynamic density functional theory approximates the spatial dependence of the density in good agreement with simulation data. All theoretical predictions are validated using Brownian dynamics simulations.

5 pages, 2 figures

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Cited by in corpus (28)

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• The Parental Active Model: a unifying stochastic description of self-propulsion
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• Active-Particle Polarization Without Alignment Forces
• Chemotaxis of cargo-carrying self-propelled particles
• Dynamics of active particles with space-dependent swim velocity
• Lorentz forces induce inhomogeneity and fluxes in active systems
• Linear response approach to active Brownian particles in time-varying activity fields
• Pseudochemotaxis in inhomogeneous active Brownian systems
• Anomalous fluxes in overdamped Brownian dynamics with Lorentz force
• Polarization-Density Patterns of Active Particles in Motility Gradients
• Nondiffusive Fluxes in Brownian System with Lorentz Force
• Active interface polarization is a state function
• Spontaneous membrane formation and self-encapsulation of active rods in an inhomogeneous motility field
• Comparative study of force-based classical density functional theory
• Pseudo-chemotaxis of active Brownian particles competing for food
• Field-Theory of Active Chiral Hard Disks: A First-Principles Approach to Steric Interactions
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• Active Colloidal Molecules in Activity Gradients
• Derivation and analysis of a phase field crystal model for a mixture of active and passive particles
• Inertial self-propelled particles in anisotropic environments
• Colloidal Brazil nut effect in microswimmer mixtures induced by motility contrast
• Effective interactions mediated between two permeable disks in an active fluid
• Transport of molecules via polymerization in chemical gradients
• Active Transport of Cargo-Carrying and Interconnected Chiral Particles
• Riding the Wave: Polymers in Time-dependent Nonequilibrium Baths
• Active chiral molecules in activity gradients