Nonlinear Dynamics of Active Brownian Particles

TL;DR

This paper explores the complex nonlinear dynamics of active Brownian particles, revealing multiple attractors, noise-induced transitions, and emergent rotational behaviors in finite interacting systems.

Contribution

It introduces a nonlinear dynamics framework for active Brownian particles, analyzing attractors, noise effects, and emergent rotational phenomena in finite systems with interactions.

Findings

Identification of multiple deterministic attractors including dissipative solitons

Noise induces transitions between attractors

Emergence of angular momentum and rotational behaviors in particle pairs

Abstract

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected by Toda springs which are imbedded into a heat bath. Including negative friction we find $N+1$ attractors of motion including an attractor describing dissipative solitons. Noise leads to transition between the deterministic attractors. In the case of two-dynamical motion of interacting particles angular momenta are generated and left/right rotations of pairs and swarms are found.