{"id":3614,"date":"2015-02-06T20:44:00","date_gmt":"2015-02-06T20:44:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=3614"},"modified":"2021-04-15T01:40:34","modified_gmt":"2021-04-15T01:40:34","slug":"pilot-wave-dynamics-modeling-computation","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/pilot-wave-dynamics-modeling-computation\/","title":{"rendered":"Faraday pilot-wave dynamics"},"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:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2015\/09\/walkers-CGR.jpg\" alt=\"\" class=\"wp-image-3122\" width=\"502\" height=\"377\"\/><figcaption>The evolution of the computed wave field with increasing memory.<\/figcaption><\/figure><\/div>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">A millimetric droplet bouncing on the surface of a vibrating fluid bath can self-propel by virtue of a resonant interaction with its own wave field. This system represents the first known example of a pilot-wave system of the form envisaged by Louis de Broglie in his double-solution pilot-wave theory. We here develop a fluid model of pilot-wave hydrodynamics by coupling recent models of the droplet\u2019s bouncing dynamics with a more realistic model of weakly viscous quasi-potential wave generation and evolution. The resulting model is the first to capture a number of features reported in experiment, including the rapid transient wave generated during impact, the Doppler effect and walker\u2013walker interactions.<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See paper here: &nbsp;<a href=\"http:\/\/math.mit.edu\/~bush\/wordpress\/wp-content\/uploads\/2015\/09\/Milewski-JFM.pdf\">Milewski, Galeano-Rios, Nachbin and Bush (2015)<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":4061,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,3],"tags":[],"class_list":["post-3614","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>Faraday pilot-wave dynamics - 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\/2015\/02\/06\/pilot-wave-dynamics-modeling-computation\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Faraday pilot-wave dynamics - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2015\/02\/06\/pilot-wave-dynamics-modeling-computation\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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