Run-and-tumble motion: field theory and entropy production

TL;DR

This paper develops an exact field-theoretic framework for analyzing run-and-tumble particles with diffusion in a harmonic potential, providing precise calculations of entropy production and other observables.

Contribution

It introduces a Doi-Peliti field theory approach to exactly analyze run-and-tumble motion with diffusion in a harmonic potential.

Findings

Exact expressions for entropy production.

Closed-form solutions for observables.

Field theory approach applicable to active matter.

Abstract

Run-and-tumble motion is an example of active motility where particles move at constant speed and change direction at random times. In this work we study run-and-tumble motion with diffusion in a harmonic potential in one dimension via a path integral approach. We derive a Doi-Peliti field theory and use it to calculate the entropy production and other observables in closed form. All our results are exact.