Field theory of free run and tumble particles in d dimensions

In this work, 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 squared 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.

Automated summary

In this work, the motion of free run and tumble particles in arbitrary dimensions is described using Doi-Peliti field theory. The mean squared displacement and entropy production at stationarity are calculated, and the field theory of free active Brownian particles in two dimensions is derived for comparison.