Run-and-tumble motion in a harmonic potential: field theory and entropy production
Rosalba Garcia-Millan, Gunnar Pruessner
Abstract
Abstract Run-and-tumble (RnT) motion is an example of active motility where particles move at constant speed and change direction at random times. In this work we study RnT motion with diffusion in a harmonic potential in one dimension via a path integral approach. We derive a Doi-Peliti field theory and use it to calculate the entropy production and other observables in closed form. All our results are exact.
Topics & Concepts
ObservableEntropy productionPath integral formulationPhysicsEntropy (arrow of time)Classical mechanicsHarmonic oscillatorJoint quantum entropyHarmonic potentialHarmonicMotion (physics)Statistical physicsMathematicsWork (physics)Constant of motionQuantum relative entropyDimension (graph theory)Constant (computer programming)Simple harmonic motionEntropy rateMathematical analysisFick's laws of diffusionGeneralized relative entropyAnomalous diffusionQuantum mechanicsField (mathematics)Binary entropy functionBrownian motionMicro and Nano RoboticsAdvanced Thermodynamics and Statistical Mechanicsstochastic dynamics and bifurcation