Extreme fluctuations of active Brownian motion

TL;DR

This paper derives the distribution of extreme fluctuations in active Brownian motion, revealing universal properties and potential applications in inferring hidden state networks.

Contribution

It introduces a theoretical framework for analyzing extreme fluctuations in active Brownian particles using large deviation theory, highlighting new universal behaviors.

Findings

Universal properties of extreme fluctuations identified

Kink-like and parabolic rate function behaviors derived

Predicted symmetry in dipolar Janus particles' fluctuations

Abstract

In active Brownian motion, an internal propulsion mechanism interacts with translational and rotational thermal noise and other internal fluctuations to produce directed motion. We derive the distribution of its extreme fluctuations and identify its universal properties using large deviation theory. The limits of slow and fast internal dynamics give rise to a kink-like and parabolic behavior of the corresponding rate functions, respectively. For dipolar Janus particles in two and three dimensions interacting with a field, we predict a novel symmetry akin to, but different from, the one related to entropy production. Measurements of these extreme fluctuations could thus be used to infer properties of the underlying, often hidden, network of states.