Field Theory of free Active Ornstein-Uhlenbeck Particles
Statistical Mechanics
2021-06-09 v2 Soft Condensed Matter
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 diagonalise the Gaussian part of the action and calculate the propagator. Unlike previous course-grained approaches this formulation correctly tracks particle identity and yet can easily be expanded to include potentials and arbitrary reactions.
Keywords
Cite
@article{arxiv.2101.07139,
title = {Field Theory of free Active Ornstein-Uhlenbeck Particles},
author = {Marius Bothe and Gunnar Pruessner},
journal= {arXiv preprint arXiv:2101.07139},
year = {2021}
}