Disruption And Recovery Of Collective Motion In Mathematical Model Of Self-Propelled Particles Under Random Noise

Abstract

The rich collective behaviors of self-propelled particle (SPP) systems include flocking, clustering, and coherent motion. These dynamics are strongly stochastic in response, and a small variation in stochasticity may overturn the collective state and cause chaotic movement. In the present paper, the impact of random noise on the coherence of the collective motion in systems of SPPs is explored, and the circumstances under which this kind of motion may be restored. In the simulation of a variable angular noise modified Vicsek model, numerical simulations are carried out to analyse the biological processes of disruption and recovery. Critical noise level found above which order is destroyed, and shows that order may be restored when the noise level is decreased, dependent upon the density of each particle, and the length of the exposure to the noise. Phase diagrams are created in order to define the behavior of the system in various intensities and densities of noise. These results give information about the robustness and ductility of active matter systems.

Keywords
Self-Propelled Particles, Stochastic Noise, Collective Motion, Phase Transition, Active Matter, Angular Noise