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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8064
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dc.contributor.authorSantra, Ion-
dc.date.accessioned2023-03-10T03:59:54Z-
dc.date.available2023-03-10T03:59:54Z-
dc.date.issued2023-03-08-
dc.identifier.citationJournal of Physics : Complexity, 2023, Vol. 4,p015013en_US
dc.identifier.issn2632-072X-
dc.identifier.urihttp://hdl.handle.net/2289/8064-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe study the induced dynamics of an inertial tracer particle elastically coupled to passive or active Brownian particles. We integrate out the environment degrees of freedom to obtain the exact effective equation of the tracer—a generalized Langevin equation in both cases. In particular, we find the exact form of the dissipation kernel and effective noise experienced by the tracer and compare it with the phenomenological modeling of active baths used in previous studies. We show that the second fluctuation-dissipation relation (FDR) does not hold at early times for both cases. However, at finite times, the tracer dynamics violate (obeys) the FDR for the active (passive) environment. We calculate the linear response formulas in this regime for both cases and show that the passive medium satisfies an equilibrium fluctuation response relation, while the active medium does not—we quantify the extent of this violation explicitly. We show that though the active medium generally renders a nonequilibrium description of the tracer, an effective equilibrium picture emerges asymptotically in the small activity limit of the medium. We also calculate the mean squared velocity and mean squared displacement of the tracer and report how they vary with time.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.urihttps://arxiv.org/abs/2210.05139en_US
dc.relation.urihttps://doi.org/10.1088/2632-072X/acbf1aen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2022arXiv221005139S/abstracten_US
dc.rights2023 The Author(s)en_US
dc.subjectdynamicalen_US
dc.subjectfluctuationsen_US
dc.subjecttraceren_US
dc.subjectcoupleden_US
dc.subjectactive particlesen_US
dc.subjectpassive particlesen_US
dc.titleDynamical fluctuations of a tracer coupled to active and passive particlesen_US
dc.typeArticleen_US
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