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Inertia suppresses signatures of activity of active Brownian particles in a harmonic potential
A Arredondo1, C Calavitta1, M Gomez2
1Department of Mathematics, California State University, Fullerton, Fullerton, California 92831, USA.
Abstract:
A harmonically trapped active Brownian particle exhibits two types of positional distributions-one has a single peak and the other has a single well-that signify steady-state dynamics with low and high activity, respectively. Adding inertia to the translational motion preserves this strict classification of either single-peak or single-well densities but shifts the dividing boundary between the states in the parameter space. We characterize this shift for the dynamics in one spatial dimension using the static Fokker-Planck equation for the full joint distribution of the state space. We derive local results analytically with a perturbation method for a small rotational velocity and then extend them globally with a numerical approach.
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