Interacting particles in an activity landscape

Abstract

We study interacting active Brownian particles (ABPs) with a space-dependent swim velocity via simulation and theory. We find that, although an equation of state exists, a mechanical equilibrium does not apply to ABPs in activity landscapes. The pressure difference originates in the flux of polar order and the gradient of swim velocity across the interface between regions of different activity. In contrast to motility-induced phase separation of ABPs with a homogeneous swim velocity, a critical point does not exist for an active-passive patch system, which continuously splits into a dense and a dilute phase with increasing activity. However, if the global density is so high that not all particles can be packed onto the inactive patch, then MIPS-like behavior is restored and the pressure is balanced again.

12 pages, 5 figures

References in corpus (9)

• 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
• Microscopic Origins of the Swim Pressure and the Anomalous Surface Tension of Active Matter
• Active-Particle Polarization Without Alignment Forces
• Dynamics of active particles with space-dependent swim velocity
• Quorum-sensing active particles with discontinuous motility
• Polarization-Density Patterns of Active Particles in Motility Gradients

Cited by in corpus (5)

• Flocking of two unfriendly species: The two-species Vicsek model
• Stability of flocking in the reciprocal two-species Vicsek model: Effects of relative population, motility, and noise
• Transport of molecules via polymerization in chemical gradients
• Macrotransport of active particles in periodic channels and fields: rectification and dispersion
• Noisy pursuit by a self-steering active particle in confinement