Active Brownian particle under stochastic orientational resetting

Fuente: arXiv
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Hauptverfasser: Baouche, Yanis, Franosch, Thomas, Meiners, Matthias, Kurzthaler, Christina
Format: Preprint
Veröffentlicht: 2024
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author Baouche, Yanis
Franosch, Thomas
Meiners, Matthias
Kurzthaler, Christina
author_facet Baouche, Yanis
Franosch, Thomas
Meiners, Matthias
Kurzthaler, Christina
contents We employ renewal processes to characterize the spatiotemporal dynamics of an active Brownian particle under stochastic orientational resetting. By computing the experimentally accessible intermediate scattering function (ISF) and reconstructing the full time-dependent distribution of the displacements, we study the interplay of rotational diffusion and resetting. The resetting process introduces a new spatiotemporal regime reflecting the directed motion of agents along the resetting direction at large length scales, which becomes apparent in an imaginary part of the ISF. We further derive analytical expressions for the low-order moments of the displacements and find that the variance displays an effective diffusive regime at long times, which decreases for increasing resetting rates. At intermediate times the dynamics are characterized by a negative skewness as well as a non-zero non-Gaussian parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06769
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Active Brownian particle under stochastic orientational resetting
Baouche, Yanis
Franosch, Thomas
Meiners, Matthias
Kurzthaler, Christina
Soft Condensed Matter
Statistical Mechanics
We employ renewal processes to characterize the spatiotemporal dynamics of an active Brownian particle under stochastic orientational resetting. By computing the experimentally accessible intermediate scattering function (ISF) and reconstructing the full time-dependent distribution of the displacements, we study the interplay of rotational diffusion and resetting. The resetting process introduces a new spatiotemporal regime reflecting the directed motion of agents along the resetting direction at large length scales, which becomes apparent in an imaginary part of the ISF. We further derive analytical expressions for the low-order moments of the displacements and find that the variance displays an effective diffusive regime at long times, which decreases for increasing resetting rates. At intermediate times the dynamics are characterized by a negative skewness as well as a non-zero non-Gaussian parameter.
title Active Brownian particle under stochastic orientational resetting
topic Soft Condensed Matter
Statistical Mechanics
url https://arxiv.org/abs/2405.06769