Traveling Bands, Clouds, and Vortices of Chiral Active Matter

Abstract

We consider stochastic dynamics of self-propelled particles with nonlocal normalized alignment interactions subject to phase lag. The role of the lag is to indirectly generate chirality into particle motion. To understand large scale behavior, we derive a continuum description of an active Brownian particle (ABP) flow with macroscopic scaling in the form of a partial differential equation (PDE) for a one-particle probability density function (DF). Due to indirect chirality, we find a new spatially homogeneous nonstationary analytic solution for this class of equations. Our development of kinetic and hydrodynamic theories towards such a solution reveals the existence of a wide variety of spatially nonhomogeneous patterns reminiscent of the traveling bands, clouds, and vortical structures of linear active matter. Our model may thereby serve as the basis for understanding the nature of chiral active media and designing multiagent swarms with designated behavior.

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Cited by in corpus (16)

• Learning hydrodynamic equations for active matter from particle simulations and experiments
• Synchronized oscillations in swarms of nematode Turbatrix aceti
• Emergent vortices and phase separation in systems of chiral active particles with dipolar interactions
• Chiral active matter in external potentials
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• Long-range translational order and hyperuniformity in two-dimensional chiral active crystal
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• Collective Hall current in chiral active fluids: Coupling of phase and mass transport through traveling bands
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• Vortex formation in the Vicsek model with internal chirality of self-propelling objects
• Chiral Active Matter
• Collective behaviors of self-propelled particles with tunable alignment angles