{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/112042"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/112042","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"On the dynamics of bouncing droplets in confined geometries","abstract":"The realm of the dynamics of bouncing droplets is a rather recent development in physics and mathematics. Just over a decade old, it holds many exciting avenues of exploration. In this thesis, I will present my research on millimetric liquid droplets, which walk across the surface of a vibrating fluid bath through a resonant interaction with their own wave fields. These walking droplets, or 'walkers', exhibit several features previously thought to be peculiar to the microscopic, quantum realm. In particular, walkers in confined circular corrals exhibit a wave-like statistical behaviour similar to that of electrons inside quantum corrals. My results show that localised topological inhomogeneities in an elliptical corral may significantly diminish or enhance the resonance of specific modes of the cavity. This leads to a controlled mode induction and to resonant projection effects in the statistical behaviour of the walker, which resembles effects observed in quantum corrals.","abstract_html":"The realm of the dynamics of bouncing droplets is a rather recent development in physics and mathematics. Just over a decade old, it holds many exciting avenues of exploration. In this thesis, I will present my research on millimetric liquid droplets, which walk across the surface of a vibrating fluid bath through a resonant interaction with their own wave fields. These walking droplets, or 'walkers', exhibit several features previously thought to be peculiar to the microscopic, quantum realm. In particular, walkers in confined circular corrals exhibit a wave-like statistical behaviour similar to that of electrons inside quantum corrals. My results show that localised topological inhomogeneities in an elliptical corral may significantly diminish or enhance the resonance of specific modes of the cavity. This leads to a controlled mode induction and to resonant projection effects in the statistical behaviour of the walker, which resembles effects observed in quantum corrals.","abstract_has_math":false,"creators":["Cristea-Platon, Tudor"],"institution":"Massachusetts Institute of Technology","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. 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They may be viewed, downloaded, or printed from this source but further reproduction or distribution in any format is prohibited without written permission."]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://dspace.mit.edu/handle/1721.1/7582"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1721.1/112042"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Thesis: S.M., Massachusetts Institute of Technology, Department of Physics, 2017.","Cataloged from PDF version of thesis.","Includes bibliographical references (pages 26-28)."]},{"key":"dc:description.abstract","label":"Abstract","values":["The realm of the dynamics of bouncing droplets is a rather recent development in physics and mathematics. Just over a decade old, it holds many exciting avenues of exploration. In this thesis, I will present my research on millimetric liquid droplets, which walk across the surface of a vibrating fluid bath through a resonant interaction with their own wave fields. These walking droplets, or 'walkers', exhibit several features previously thought to be peculiar to the microscopic, quantum realm. In particular, walkers in confined circular corrals exhibit a wave-like statistical behaviour similar to that of electrons inside quantum corrals. My results show that localised topological inhomogeneities in an elliptical corral may significantly diminish or enhance the resonance of specific modes of the cavity. This leads to a controlled mode induction and to resonant projection effects in the statistical behaviour of the walker, which resembles effects observed in quantum corrals."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["S.M."]},{"key":"dc:title","label":"Title","values":["On the dynamics of bouncing droplets in confined geometries"]}]}],"canonical_facts":{"dc:contributor.advisor":["Mehran Kardar."],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Physics."],"dc:contributor.other":["Massachusetts Institute of Technology. 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In particular, walkers in confined circular corrals exhibit a wave-like statistical behaviour similar to that of electrons inside quantum corrals. My results show that localised topological inhomogeneities in an elliptical corral may significantly diminish or enhance the resonance of specific modes of the cavity. This leads to a controlled mode induction and to resonant projection effects in the statistical behaviour of the walker, which resembles effects observed in quantum corrals."],"dc:description.degree":["S.M."],"dc:identifier.uri":["http://hdl.handle.net/1721.1/112042"],"dc:language.iso":["eng"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["MIT theses are protected by copyright. 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