{"id":4936,"date":"2017-04-02T04:52:00","date_gmt":"2017-04-02T04:52:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4936"},"modified":"2021-04-15T02:10:35","modified_gmt":"2021-04-15T02:10:35","slug":"orbiting-pairs-of-walking-droplets-dynamics-and-stability","status":"publish","type":"post","link":"http:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/02\/orbiting-pairs-of-walking-droplets-dynamics-and-stability\/","title":{"rendered":"Orbiting droplet pairs"},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-purple-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-image is-style-twentytwentyone-border\"><figure class=\"alignright size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/OrbitPairs.png\" alt=\"\" class=\"wp-image-4937\" width=\"452\" height=\"387\"\/><figcaption>Quantized orbits available to pairs of walking droplets, confined through their mutual wave field.<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">A decade ago, Couder and Fort (2006) discovered that a millimetric droplet sustained on the surface of a vibrating fluid bath may self-propel through a resonant interaction with its own wave field. We here present the results of a combined experimental and theoretical investigation of the interactions of such walking droplets. Specifically, we delimit experimentally the different regimes for an orbiting pair of identical walkers and extend the theoretical model of Oza et al. (2013) in order to rationalize our observations. A quantitative comparison between experiment and theory highlights the importance of spatial damping of the wave field. Our results also indicate that walkers adapt their impact phase according to the local wave height, an effect that stabilizes orbiting bound states.<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See paper:  <a href=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Oza-OrbitsPRF2017.pdf\" data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Oza-OrbitsPRF2017.pdf\">Oza, A.U., Si\u00e9fert, E., Harris, D.M., Mol\u00e1\u010dek, J. and Bush, J.W.M., <em>PRF<\/em> (2017).<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4938,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,3],"tags":[],"class_list":["post-4936","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-hydrodynamic-quantum-analogues","category-pilot-wave-hydrodynamics","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Orbiting droplet pairs - John W. M. Bush<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/02\/orbiting-pairs-of-walking-droplets-dynamics-and-stability\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Orbiting droplet pairs - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"http:\/\/thales.mit.edu\/bush\/index.php\/2017\/04\/02\/orbiting-pairs-of-walking-droplets-dynamics-and-stability\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. Bush\" \/>\n<meta property=\"article:published_time\" content=\"2017-04-02T04:52:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-15T02:10:35+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/OrbitingPairs-thumb.png\" \/>\n\t<meta property=\"og:image:width\" content=\"790\" \/>\n\t<meta property=\"og:image:height\" content=\"710\" \/>\n<meta name=\"twitter:card\" content=\"summary\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\">\n\t<meta name=\"twitter:data1\" content=\"1 minute\">\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebSite\",\"@id\":\"http:\/\/thales.mit.edu\/bush\/#website\",\"url\":\"http:\/\/thales.mit.edu\/bush\/\",\"name\":\"John W. M. 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