Active Brownian particle under stochastic position and orientation resetting in a harmonic trap
Year: 2025
Type: article
Abstract: We present an exact analytical study of an active Brownian particle (ABP) subject to both position and orientation stochastic resetting in a two dimensional harmonic trap. Utilizing a Fokker-Planck-based renewal approach, we derive the system’s exact moments, including the mean parallel displacement, mean squared displacement (MSD), and the fourth order moment of displacement, and compare these with numerical simulations. To capture deviations from Gaussian behavior, we analyze the excess kurtosis, which reveals rich dynamical crossovers over time. These transitions span from Gaussian behavior (zero excess kurtosis) to two distinct non-Gaussian regimes: an activity-dominated regime (negative excess kurtosis) and a resetting-dominated regime (positive excess kurtosis). Furthermore, we quantify the steady state phase diagrams by varying three key control parameters: activity, resetting rate, and harmonic trap strength, using steady state excess kurtosis as the primary metric.
Author: Amir Shee
Institutions: University of Vermont, Northwestern University
Language: English
Topic: Micro and Nano Robotics
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,880
Funder: John Templeton Foundation
OpenAlex ID: W4407203097