Field Theory of Free Run and Tumble Particles in d Dimensions
Ziluo Zhang, Gunnar Pruessner
TL;DR
This paper develops a Doi-Peliti field theory framework to analyze the motion, mean square displacement, and entropy production of free Run and Tumble particles in arbitrary dimensions, also comparing with Active Brownian Particles.
Contribution
It introduces a novel field theory approach for Run and Tumble particles in any dimension, extending previous models and providing analytical tools for their dynamics.
Findings
Derived action and propagators for Run and Tumble particles
Calculated mean square displacement and entropy production at stationarity
Compared field theory of Run and Tumble particles with Active Brownian Particles in two dimensions
Abstract
In this paper, Doi-Peliti field theory is used to describe the motion of free Run and Tumble particles in arbitrary dimensions. After deriving action and propagators, the mean square displacement and the corresponding entropy production at stationarity are calculated in this framework. We further derive the field theory of free Active Brownian Particles in two dimensions for comparison.
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