{"id":4839,"date":"2018-04-01T02:30:00","date_gmt":"2018-04-01T02:30:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4839"},"modified":"2021-04-15T04:02:51","modified_gmt":"2021-04-15T04:02:51","slug":"hydrodynamic-spin-states","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/hydrodynamic-spin-states\/","title":{"rendered":"Hydrodynamic spin states"},"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-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Spin.png\" alt=\"\" class=\"wp-image-4840\" width=\"472\" height=\"404\"\/><figcaption>A regime diagram delineates the parameter regime in which a vibrating particle may confine itself to a circular orbit, trapped by its own wave field.<\/figcaption><\/figure>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet walking on a vertically vibrating fluid bath executes orbital motion despite the absence of an applied external field. In this regime, the walker\u2019s self-generated wave force is sufficiently strong to confine the walker to a circular orbit. We use an integro-differential trajectory equation for the droplet\u2019s horizontal motion to specify the parameter regimes for which the innermost spin state can be stabilized. Stable spin states are shown to exhibit an analog of the Zeeman effect from quantum mechanics when they are placed in a rotating frame.<\/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\/Spin-Chaos.pdf\" data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/Spin-Chaos.pdf\">Oza, A.U., Rosales, R.R. and Bush, J.W.M., <em>Chaos<\/em> (2018)<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4841,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14,3],"tags":[],"class_list":["post-4839","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pilot-wave-theory","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>Hydrodynamic spin states - 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\/hydrodynamic-spin-states\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Hydrodynamic spin states - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2018\/04\/01\/hydrodynamic-spin-states\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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