{"id":4821,"date":"2018-04-01T01:24:00","date_gmt":"2018-04-01T01:24:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4821"},"modified":"2021-04-15T01:50:41","modified_gmt":"2021-04-15T01:50:41","slug":"bouncing-droplet-dynamics-above-the-faraday-threshold","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/bouncing-droplet-dynamics-above-the-faraday-threshold\/","title":{"rendered":"Crossing the Faraday threshold"},"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<figure class=\"wp-block-image size-large is-style-twentytwentyone-border\"><img loading=\"lazy\" decoding=\"async\" width=\"770\" height=\"348\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Crossing.png\" alt=\"\" class=\"wp-image-4823\"\/><figcaption>The complete regime diagram for bouncing droplets (20cS-80Hz) includes the complex behavior arising above the Faraday threshold. <\/figcaption><\/figure>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">We present the results of an experimental investigation of the dynamics of droplets bouncing on a vibrating fluid bath for forcing accelerations above the Faraday threshold. Two distinct fluid viscosity and vibrational frequency combinations (20 cS\u201380 Hz and 50 cS\u201350 Hz) are considered, and the dependence of the system behavior on drop size and vibrational acceleration is characterized. A number of new dynamical regimes are reported, including meandering, zig-zagging, erratic bouncing, coalescing, and trapped regimes. Particular attention is given to the regime in which droplets change direction erratically and exhibit a dynamics akin to Brownian motion.We demonstrate that the effective diffusivity increases with vibrational acceleration and decreases with drop size, as suggested by simple scaling arguments.<\/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\/TambascoAboveThreshChaos.pdf\" data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/TambascoAboveThreshChaos.pdf\">Tambasco, L.D., Pilgram, J.J. and Bush, J.W.M. Bush, <em>Chaos<\/em> (2018)<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4822,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,3],"tags":[],"class_list":["post-4821","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bouncing-walking","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>Crossing the Faraday threshold - 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\/04\/01\/bouncing-droplet-dynamics-above-the-faraday-threshold\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Crossing the Faraday threshold - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/bouncing-droplet-dynamics-above-the-faraday-threshold\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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