Doi-Peliti field theory of free active Ornstein-Uhlenbeck particles
Marius Bothe, Gunnar Pruessner
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.
Topics & Concepts
PropagatorOrnstein–Uhlenbeck processBrownian motionInertial frame of referenceAction (physics)Quadratic equationPhysicsStatistical physicsFree fieldMathematicsClassical mechanicsMathematical physicsStochastic processQuantum mechanicsStatisticsGeometryMicro and Nano RoboticsPickering emulsions and particle stabilizationAdvanced Thermodynamics and Statistical Mechanics