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dc.contributor.authorBanerjee, T
dc.contributor.authorJack, RL
dc.contributor.authorCates, ME
dc.date.accessioned2022-02-01T10:26:28Z
dc.date.available2022-02-01T10:26:28Z
dc.date.issued2022
dc.date.submitted2021-09-28
dc.identifier.issn1742-5468
dc.identifier.otherjstatac4801
dc.identifier.otherac4801
dc.identifier.otherjstat_037p_0921
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/333496
dc.description.abstract<jats:title>Abstract</jats:title> <jats:p>We consider one-dimensional systems comprising either active run-and-tumble particles (RTPs) or passive Brownian random walkers. These particles are either noninteracting or have hardcore exclusions. We study the dynamics of a single tracer particle embedded in such a system—this tracer may be either active or passive, with hardcore exclusion from environmental particles. In an active hardcore environment, both active and passive tracers show long-time subdiffusion: displacements scale as <jats:italic>t</jats:italic> <jats:sup>1/4</jats:sup> with a density-dependent prefactor that is independent of tracer type, and differs from the corresponding result for passive-in-passive subdiffusion. In an environment of noninteracting active particles, the passive-in-passive results are recovered at low densities for both active and passive tracers, but transient caging effects slow the tracer motion at higher densities, delaying the onset of any <jats:italic>t</jats:italic> <jats:sup>1/4</jats:sup> regime. For an active tracer in a passive environment, we find more complex outcomes, which depend on details of the dynamical discretization scheme. We interpret these results by studying the density distribution of environmental particles around the tracer. In particular, sticking of environment particles to the tracer cause it to move more slowly in noninteracting than in interacting active environments, while the anomalous behaviour of the active-in-passive cases stems from a ‘snowplough’ effect whereby a large pile of diffusive environmental particles accumulates in front of an RTP tracer during a ballistic run.</jats:p>
dc.languageen
dc.publisherIOP Publishing
dc.subjectPaper
dc.subjectClassical statistical mechanics, equilibrium and non-equilibrium
dc.subjectactive matter
dc.subjectBrownian motion
dc.subjectexclusion processes
dc.subjectpersistence
dc.titleTracer dynamics in one dimensional gases of active or passive particles
dc.typeArticle
dc.date.updated2022-02-01T10:26:27Z
prism.issueIdentifier1
prism.publicationNameJournal of Statistical Mechanics: Theory and Experiment
prism.volume2022
dc.identifier.doi10.17863/CAM.80916
dcterms.dateAccepted2021-12-19
rioxxterms.versionofrecord10.1088/1742-5468/ac4801
rioxxterms.versionVoR
rioxxterms.licenseref.urihttps://creativecommons.org/licenses/by/4.0/
dc.contributor.orcidBanerjee, Tirthankar [0000-0003-3442-9166]
dc.contributor.orcidJack, Robert [0000-0003-0086-4573]
dc.identifier.eissn1742-5468
pubs.funder-project-idEuropean Research Council (740269)
cam.issuedOnline2022-01-31


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