Phase transitions induced by complex nonlinear noise in a system of self-propelled agents

Abstract

We propose a comprehensive dynamical model for cooperative motion of self-propelled particles, e.g., flocking, by combining well-known elements such as velocity-alignment interactions, spatial interactions, and angular noise into a unified Lagrangian treatment. Noise enters into our model in an especially realistic way: it incorporates correlations, is highly nonlinear, and it leads to a unique collective behavior. Our results show distinct stability regions and an apparent change in the nature of one class of noise-induced phase transitions, with respect to the mean velocity of the group, as the range of the velocity-alignment interaction increases. This phase-transition change comes accompanied with drastic modifications of the microscopic dynamics, from nonintermittent to intermittent. Our results facilitate the understanding of the origin of the phase transitions present in other treatments.

12 pages, 11 figures. Revised extended version with new figures and extra references

References in corpus (10)

• Novel type of phase transition in a system of self-driven particles
• Onset of collective and cohesive motion
• Collective motion of self-propelled particles interacting without cohesion
• Self-organization in systems of self-propelled particles
• Moving and staying together without a leader
• Phase transitions in systems of self-propelled agents and related network models
• Noise-Induced Transition from Translational to Rotational Motion of Swarms
• Self-propelled particles with fluctuating speed and direction of motion
• A mean-field theory for self-propelled particles interacting by velocity alignment mechanisms
• New aspects of the continuous phase transition in the scalar noise model (SNM) of collective motion

Cited by in corpus (14)

• Invasion-wave induced first-order phase transition in systems of active particles
• Cluster dynamics and cluster size distributions in systems of self-propelled particles
• Evolution of Cooperation among Mobile Agents
• Criticality and the Onset of Ordering in the Standard Vicsek Model
• Emergence of collective motion in a model of interacting Brownian particles
• Active matter beyond mean-field: Ring-kinetic theory for self-propelled particles
• Complex Network Structure of Flocks in the Standard Vicsek Model
• Evolutionary Prisoner's Dilemma Game in Flocks
• Fluctuation-induced collective motion: A single-particle density analysis
• Synchronization and collective motion of globally coupled Brownian particles
• Singular perturbation analysis of a reduced model for collective motion: A renormalization group approach
• Aggregation of self-propelled particles with sensitivity to local order
• Cohesive motion in one-dimensional flocking
• Emergence of coherent motion in aggregates of motile coupled maps