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arXiv · 2101.07139

Field Theory of free Active Ornstein-Uhlenbeck Particles

Marius Bothe·Gunnar Pruessner
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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.

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BibTeXRIS

Marius Bothe, Gunnar Pruessner. 2021-01-18. Field Theory of free Active Ornstein-Uhlenbeck Particles. https://doi.org/10.1103/physreve.103.062105

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