Finite-size scaling at the edge of disorder in a time-delay Vicsek model

Abstract

Living many-body systems often exhibit scale-free collective behavior reminiscent of thermal critical phenomena. But their mutual interactions are inevitably retarded due to information processing and delayed actuation. We numerically investigate the consequences for the finite-size scaling in the Vicsek model of motile active matter. A growing delay time initially facilitates but ultimately impedes collective ordering and turns the dynamical scaling from diffusive to ballistic. It provides an alternative explanation of swarm traits previously attributed to inertia.

5 pages, 3 figures, supplementary information available on demand

References in corpus (8)

• Power-law distributions in empirical data
• Novel type of phase transition in a system of self-driven particles
• Hierarchical group dynamics in pigeon flocks
• Finite-size scaling as a way to probe near-criticality in natural swarms
• Critical Phenomenon of the Order-Disorder Transition in Incompressible Flocks
• Fluctuation-induced phase separation in metric and topological models of collective motion
• Delay Induced Instabilities in Self-Propelling Swarms
• Equilibrium to off-equilibrium crossover in homogeneous active matter

Cited by in corpus (12)

• Spontaneous vortex formation by microswimmers with retarded attractions
• Scale free chaos in the confined Vicsek flocking model
• Spontaneous velocity alignment of Brownian particles with feedback-induced propulsion
• Signal propagation and linear response in the delay Vicsek model
• Persistent motion of a Brownian particle subject to repulsive feedback with time delay
• Active particles with delayed attractions form quaking crystallites
• Heat production in a stochastic system with nonlinear time-delayed feedback
• Active Matter Flocking via Predictive Alignment
• Visual collective behaviors on spherical robots
• Universal scaling relation and criticality in metabolism and growth of Escherichia coli
• Characteristic oscillations in frequency-resolved heat dissipation of linear time-delayed Langevin systems: Approach from the violation of the fluctuation-response relation
• Information conduction and convection in noiseless Vicsek flocks