Superdiffusive trajectories in Brownian motion

dc.contributor.utaustinauthorLi, Tongcangen_US
dc.contributor.utaustinauthorRaizen, Mark G.en_US
dc.creatorDuplat, Jeromeen_US
dc.creatorKheifets, Simonen_US
dc.creatorLi, Tongcangen_US
dc.creatorRaizen, Mark G.en_US
dc.creatorVillermaux, Emmanuelen_US
dc.date.accessioned2017-07-18T20:10:49Z
dc.date.available2017-07-18T20:10:49Z
dc.date.issued2013-02en_US
dc.description.abstractThe Brownian motion of a microscopic particle in a fluid is one of the cornerstones of statistical physics and the paradigm of a random process. One of the most powerful tools to quantify it was provided by Langevin, who explicitly accounted for a short-time correlated "thermal" force. The Langevin picture predicts ballistic motion, < x(2)> similar to t(2) at short-time scales, and diffusive motion < x(2)> similar to t at long-time scales, where x is the displacement of the particle during time t, and the average is taken over the thermal distribution of initial conditions. The Langevin equation also predicts a superdiffusive regime, where < x(2)> similar to t(3), under the condition that the initial velocity is fixed rather than distributed thermally. We analyze the motion of an optically trapped particle in air and indeed find t(3) dispersion. This observation is a direct proof of the existence of the random, rapidly varying force imagined by Langevin. DOI: 10.1103/PhysRevE.87.020105en_US
dc.description.departmentPhysicsen_US
dc.description.sponsorshipAgence Nationale de la Recherche (ANR) ANR-05-BLAN-0222-01en_US
dc.description.sponsorshipR.A. Welch Foundation F-1258en_US
dc.identifierdoi:10.15781/T24T6FJ7S
dc.identifier.citationDuplat, Jérôme, Simon Kheifets, Tongcang Li, Mark G. Raizen, and Emmanuel Villermaux. "Superdiffusive trajectories in Brownian motion." Physical Review E 87, no. 2 (2013): 020105.en_US
dc.identifier.doi10.1103/PhysRevE.87.020105en_US
dc.identifier.issn1539-3755en_US
dc.identifier.urihttp://hdl.handle.net/2152/61146
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Een_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjectpair dispersionen_US
dc.subjectmovementen_US
dc.titleSuperdiffusive trajectories in Brownian motionen_US
dc.typeArticleen_US
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