Doi-Peliti field theory of free active Ornstein-Uhlenbeck particles.

Bothe, Marius; Pruessner, Gunnar · Phys Rev E · 2021

basic_science · Level V

Where this comes from

Abstract

We derive a Doi-Peliti field theory for free active Ornstein-Uhlenbeck particles, or, equivalently, free inertial Brownian particles, and present a way to diagonalize the quadratic part of the action and calculate the propagator. Unlike previous coarse-grained approaches this formulation correctly tracks particle identity and yet can easily be expanded to include potentials and arbitrary reactions.