Pattern formation in active particle systems due to competing alignment interactions

Abstract

Recently, we proposed a self-propelled particle model with competing alignment interactions: nearby particles tend to align their velocities whereas they anti-align their direction of motion with particles which are further away [R. Grossmann et al., Phys. Rev. Lett. 113, 258104 (2014)]. Here, we extend our previous numerical analysis of the high density regime considering low particle densities too. We report on the emergence of various macroscopic patterns such as vortex arrays, mesoscale turbulence as well as the formation of polar clusters, polar bands and nematically ordered states. Furthermore, we study analytically the instabilities leading to pattern formation in mean-field approximation. We argue that these instabilities are well described by a reduced set of hydrodynamic equations in the limit of high density.

23 pages, 13 figures, submitted to EPJST

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• Turbulence and turbulent pattern formation in a minimal model for active fluids
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• Emergent probability fluxes in confined microbial navigation
• Dynamical density functional theory for circle swimmers
• Polarization-Density Patterns of Active Particles in Motility Gradients
• An agent-based framework of active matter with applications in biological and social systems
• Emerging mesoscale flows and chaotic advection in dense active matter
• Asymmetric pattern formation in microswimmer suspensions induced by orienting fields
• Mean field approach of dynamical pattern formation in underdamped active matter with short-ranged alignment and distant anti-alignment interactions
• Pattern selection and the route to turbulence in incompressible polar active fluids