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Simulations of pilot-wave dynamics in a simple harmonic potential

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Show simple item record Kurianski, Kristin M Oza, Anand Uttam Bush, John W. M. 2017-12-05T19:36:09Z 2017-12-05T19:36:09Z 2017-11 2017-04
dc.identifier.issn 2469-990X
dc.identifier.issn 2469-9918
dc.description.abstract We present the results of a numerical investigation of droplets walking in a harmonic potential on a vibrating fluid bath. The droplet's trajectory is described by an integro-differential equation, which is simulated numerically in various parameter regimes. We produce a regime diagram that summarizes the dependence of the walker's behavior on the system parameters for a droplet of fixed size. At relatively low vibrational forcing, a number of periodic and quasiperiodic trajectories emerge. In the limit of large vibrational forcing, the walker's trajectory becomes chaotic, but the resulting trajectories can be decomposed into portions of unstable quasiperiodic states. en_US
dc.description.sponsorship National Science Foundation (U.S.) (Grant CMMI-1333242) en_US
dc.description.sponsorship National Science Foundation (U.S.) (Grant DMS-1614043) en_US
dc.publisher American Physical Society en_US
dc.relation.isversionof en_US
dc.rights Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. en_US
dc.source American Physical Society en_US
dc.title Simulations of pilot-wave dynamics in a simple harmonic potential en_US
dc.type Article en_US
dc.identifier.citation Kurianski, Kristin M. "Simulations of pilot-wave dynamics in a simple harmonic potential." Physical Review Fluids, 2, 11 (November 2017): 113602 © 2017 American Physical Society en_US
dc.contributor.department Massachusetts Institute of Technology. Department of Mathematics en_US
dc.contributor.mitauthor Kurianski, Kristin M
dc.contributor.mitauthor Oza, Anand Uttam
dc.contributor.mitauthor Bush, John W. M.
dc.relation.journal Physical Review Fluids en_US
dc.identifier.mitlicense PUBLISHER_POLICY en_US
dc.eprint.version Final published version en_US
dc.type.uri en_US
eprint.status en_US 2017-11-14T22:43:18Z
dc.language.rfc3066 en
dc.rights.holder American Physical Society
dspace.orderedauthors Kurianski, Kristin M.; Oza, Anand U.; Bush, John W. M. en_US
dspace.embargo.terms N en_US

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