Nucleation-induced transition to collective motion in active systems

Abstract

While the existence of polar ordered states in active systems is well established, the dynamics of the self-assembly processes are still elusive. We study a lattice gas model of self-propelled elongated particles interacting through excluded volume and alignment interactions, which shows a phase transition from an isotropic to a polar ordered state. By analyzing the ordering process we find that the transition is driven by the formation of a critical nucleation cluster and a subsequent coarsening process. Moreover, the time to establish a polar ordered state shows a power-law divergence.

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Cited by in corpus (8)

• Molecular motors robustly drive active gels to a critically connected state
• Long-range Ordering of Vibrated Polar Disks
• A kinetic model and scaling properties for non-equilibrium clustering of self-propelled particles
• Understanding Collective Dynamics of Soft Active Colloids by Binary Scattering
• A Critical Assessment of the Boltzmann Approach for Active Systems
• Role of particle conservation in self-propelled particle systems
• Microphase separation in active filament systems is maintained by cyclic dynamics of cluster size and order
• Active quantum flocks