Active Matter Commensuration and Frustration Effects on Periodic Substrates

Abstract

We show that self-driven particles coupled to a periodic obstacle array exhibit novel active matter commensuration effects that are absent in the Brownian limit. As the obstacle size is varied for sufficiently large activity, a series of commensuration effects appear in which the motility induced phase separation produces commensurate crystalline states, while for other obstacle sizes we find frustrated or amorphous states. The commensuration effects are associated with peaks in the amount of six-fold ordering and the maximum cluster size. When a drift force is added to the system, the mobility contains peaks and dips similar to those found in transport studies for commensuration effects in superconducting vortices and colloidal particles.

5 pages, 4 postscript figures

References in corpus (7)

• Motility-Induced Phase Separation
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Distortion and destruction of colloidal flocks in disordered environments
• Active Microrheology in Active Matter Systems: Mobility, Intermittency and Avalanches
• Directional Locking Effects for Active Matter Particles Coupled to a Periodic Substrate
• Deflection of phototactic microswimmers through obstacle arrays
• Metamaterials for Active Colloid Transport

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• Active Matter Shepherding and Clustering in Inhomogeneous Environments
• Transmission of mobility via cooperative mechanisms in soft active matter
• Macrotransport of active particles in periodic channels and fields: rectification and dispersion
• Active Rheology and Anti-Commensuration Effects For Driven Probe Particles on Two Dimensional Periodic Pinning Substrates
• Dynamic phase transition induced by active molecules simulating a facilitation mechanism in a supercooled liquid
• Emergence of Sinai Physics in the stochastic motion of passive and active particles
• Geometric frustration and pairing order transition in confined bacterial vortices
• Active chain spirograph: Dynamic patterns formed in extensible chains due to follower activity