Active crystals and their stability

Abstract

A recently introduced active phase field crystal model describes the formation of ordered resting and traveling crystals in systems of self-propelled particles. Increasing the active drive, a resting crystal can be forced to perform collectively ordered migration as a single traveling object. We demonstrate here that these ordered migrating structures are linearly stable. In other words, during migration, the single crystalline texture together with the globally ordered collective motion is preserved even on large length scales. Furthermore, we consider self-propelled particles on a substrate that are surrounded by a thin fluid film. We find that in this case the resulting hydrodynamic interactions can destabilize the order.

15 pages, 8 figures

References in corpus (13)

• Novel type of phase transition in a system of self-driven particles
• Self-motile colloidal particles: from directed propulsion to random walk
• Meso-scale turbulence in living fluids
• Collective motion of self-propelled particles interacting without cohesion
• Phase transition in the collective migration of tissue cells: experiment and model
• Swarming and swirling in self-propelled polar granular rods
• Phase-field-crystal models for condensed matter dynamics on atomic length and diffusive time scales: an overview
• Collective motion and nonequilibrium cluster formation in colonies of gliding bacteria
• Phase-field Crystals with Elastic Interactions
• Derivation of the phase field crystal model for colloidal solidification
• Mode Selection in the Spontaneous Motion of an Alcohol Droplet
• Rotational motion of a droplet induced by interfacial tension
• Active and driven hydrodynamic crystals

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