Phase Transitions and superuniversality in the dynamics of a self-driven particle

Abstract

We study an active random walker model in which a particle's motion is determined by a self-generated field. The field encodes information about the particle's path history. This leads to either self-attractive or self-repelling behavior. For self-repelling behavior, we find a phase transition in the dynamics: when the coupling between the field and the walker exceeds a critical value, the particle's behavior changes from renormalized diffusion to one characterized by a diverging diffusion coefficient. The dynamical behavior for all cases is surprisingly independent of dimension and of the noise amplitude.

arXiv comment14 pages, 4 figures

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• Active Walker Model for the Formation of Human and Animal Trail Systems
• Strong-coupling dynamics of a multi-cellular chemotactic system
• Phase-Transition in Binary Sequences with Long-Range Correlations
• Self Trapping of a Single Bacterium in its Own Chemoattractant
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Cited by in corpus (5)

• Chemotactic predator-prey dynamics
• Dynamics of a microorganism moving by chemotaxis in its own secretion
• Active Brownian agents with concentration-dependent chemotactic sensitivity
• Structural correlations in diffusiophoretic colloidal mixtures with nonreciprocal interactions
• Extension and dynamical phases in random walkers depositing and following chemical trails