Ornstein-Uhlenbeck information particle: A new candidate of active agent

TL;DR

This paper introduces the Ornstein-Uhlenbeck information particle (OUIP), a novel active agent with unique dynamical behaviors influenced by feedback control, capable of switching between diffusion and high-speed modes.

Contribution

It presents the OUIP as a new type of active agent with distinct motion patterns and tunable dynamics, expanding the understanding of information-driven active particles.

Findings

OUIP exhibits two main motion modes: diffusion and high-speed travel.

The motion of OUIP can be flexibly controlled via inertial effects.

Adjusting OU bath fluctuations allows for a wide range of net velocities.

Abstract

An information particle can acquire active-like motion through transforming the information entropy into effective self-propulsion velocity/force using the attached information engine. We consider an underdamped Brownian particle additionally driven by either a constant self-propulsion force or an information engine using Ornstein-Uhlenbeck (OU) bath feedback control, such particles are called self-propelled particle (SPP) or OU information particle (OUIP). Compared to the widely-investigated SPP, the OUIP shows a significant different dynamical pattern, including two types of moving mode: a slow-speed diffusion mode and a high-speed traveling mode. The specific evolution of OUIP can be adjusted flexibly between such two modes through the inertial effect, thus acquiring a rich and non-trivial motion behavior. By tuning the strength of fluctuation of the OU bath, a wide range of net velocity can be achieved for OUIP. We highlight that OUIP could be an exceptional candidate for active agent.