{"id":4793,"date":"2018-01-31T05:10:00","date_gmt":"2018-01-31T05:10:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4793"},"modified":"2021-04-15T03:55:33","modified_gmt":"2021-04-15T03:55:33","slug":"promenading-pairs-of-walking-droplets-dynamics-and-stability","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/01\/31\/promenading-pairs-of-walking-droplets-dynamics-and-stability\/","title":{"rendered":"Promenading droplet pairs"},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-subtle-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<figure class=\"wp-block-image size-large is-resized is-style-twentytwentyone-border\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Promenade.png\" alt=\"\" class=\"wp-image-4814\" width=\"503\" height=\"315\"\/><figcaption>Pairs of walking drops promenade side by side, bound by their mutual wave field.<\/figcaption><\/figure>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">We present the results of an integrated experimental and theoretical investigation of the promenade mode, a bound state formed by a pair of droplets walking side by side on the surface of a vibrating fluid bath. Particular attention is given to characterizing the dependence of the promenading behavior on the vibrational forcing for drops of a given size. We also enumerate the different instabilities that may arise, including transitions to smaller promenade modes or orbiting pairs. Our theoretical developments highlight the importance of the vertical bouncing dynamics on the stability characteristics. Specifically, quantitative comparison between experiment and theory prompts further refinement of the stroboscopic model through inclusion of phase adaptation and reveals the critical role that impact phase variations play in the stability of the promenading pairs.<\/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\/Juncal2018.pdf\" data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Juncal2018.pdf\">Arbelaiz, J., Oza, A.U. and Bush, J.W.M., <em>PRF<\/em>, (2018)<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4815,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15,3],"tags":[],"class_list":["post-4793","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>Promenading 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=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/01\/31\/promenading-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=\"Promenading droplet pairs - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/01\/31\/promenading-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=\"2018-01-31T05:10:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-04-15T03:55:33+00:00\" \/>\n<meta property=\"og:image\" content=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Promenade-thumb.png\" \/>\n\t<meta property=\"og:image:width\" content=\"456\" \/>\n\t<meta property=\"og:image:height\" content=\"406\" \/>\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\":\"https:\/\/thales.mit.edu\/bush\/#website\",\"url\":\"https:\/\/thales.mit.edu\/bush\/\",\"name\":\"John W. M. 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