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Field Theory of free Active Ornstein-Uhlenbeck Particles

Published 18 Jan 2021 in cond-mat.stat-mech and cond-mat.soft | (2101.07139v2)

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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