{"627238":{"#nid":"627238","#data":{"type":"news","title":"EXTERNAL NEWS - Leonid Bunimovich on Billiards and Chaos in Scilight","body":[{"value":"\u003Cp\u003EIn the transition from mathematical billiards to physical billiards, where a ball goes from being a point particle to having a positive radius, it may seem intuitive to assume that no categorical difference exists between the two. A new proof-of-concept paper by\u0026nbsp;\u003Cstrong\u003E\u003Ca href=\u0022http:\/\/people.math.gatech.edu\/~bunimovh\/\u0022\u003ELeonid Bunimovich\u003C\/a\u003E\u003C\/strong\u003E\u0026nbsp;says otherwise.\u0026nbsp;Bunimovich discovered as the radius of a physical billiard ball increases, the change in the behavior of the entire system is equivalent to modeling mathematical billiards with a smaller table. With increasing radius, the geometry of the system evolves. For instance, some parts of the table may become inaccessible to the ball. This results in a progression in the dynamics of the system between mathematical and physical cases, and it may become more or less chaotic with changing radius.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EAn exceprt from the article in Scilight\u0026nbsp;\u003Ca href=\u0022https:\/\/aip.scitation.org\/doi\/10.1063\/1.5128222\u0022\u003Ehttps:\/\/aip.scitation.org\/doi\/10.1063\/1.5128222\u003C\/a\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cblockquote\u003E\r\n\u003Cp\u003EIn the transition from mathematical billiards to physical billiards, where a ball goes from being a point particle to having a positive radius, it may seem intuitive to assume that no categorical difference exists between the two. A new proof-of-concept paper by Leonid Bunimovich says otherwise.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EBunimovich discovered as the radius of a physical billiard ball increases, the change in the behavior of the entire system is equivalent to modeling mathematical billiards with a smaller table. With increasing radius, the geometry of the system evolves. For instance, some parts of the table may become inaccessible to the ball. This results in a progression in the dynamics of the system between mathematical and physical cases, and it may become more or less chaotic with changing radius.\u003C\/p\u003E\r\n\u003C\/blockquote\u003E\r\n\r\n\u003Cblockquote\u003E\r\n\u003Cp\u003E\u0026ldquo;Anything is possible,\u0026rdquo; said Bunimovich. \u0026ldquo;There are various types of transitions from order to chaos, and chaos to order.\u0026rdquo;\u003C\/p\u003E\r\n\u003C\/blockquote\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EArticle:\u003C\/strong\u003E\u0026nbsp;\u0026ldquo;Physical versus mathematical billiards: From regular dynamics to chaos and back,\u0026rdquo; by L. A. Bunimovich,\u0026nbsp;\u003Cem\u003EChaos\u003C\/em\u003E\u0026nbsp;(2019). The article can be accessed at\u0026nbsp;\u003Ca href=\u0022https:\/\/doi.org\/10.1063\/1.5122195\u0022 target=\u0022_blank\u0022\u003Ehttps:\/\/doi.org\/10.1063\/1.5122195\u003C\/a\u003E.\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Prof. Bunimovich\u0027s recent article in the news for his work on billiard balls and chaos - mathematics versus reality. "}],"uid":"34518","created_gmt":"2019-10-07 14:44:24","changed_gmt":"2019-11-07 15:51:00","author":"sbarone7","boilerplate_text":"","field_publication":"","field_article_url":"","dateline":{"date":"2019-10-07T00:00:00-04:00","iso_date":"2019-10-07T00:00:00-04:00","tz":"America\/New_York"},"extras":[],"hg_media":{"626635":{"id":"626635","type":"image","title":"Leonid Bunimovich","body":null,"created":"1569278115","gmt_created":"2019-09-23 22:35:15","changed":"1569278115","gmt_changed":"2019-09-23 22:35:15","alt":"","file":{"fid":"238582","name":"Leonid Bunimovich2016.jpg","image_path":"\/sites\/default\/files\/images\/Leonid%20Bunimovich2016.jpg","image_full_path":"http:\/\/www.tlwarc.hg.gatech.edu\/\/sites\/default\/files\/images\/Leonid%20Bunimovich2016.jpg","mime":"image\/jpeg","size":369293,"path_740":"http:\/\/www.tlwarc.hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/images\/Leonid%20Bunimovich2016.jpg?itok=69LKEvqW"}}},"media_ids":["626635"],"related_links":[{"url":"https:\/\/aip.scitation.org\/doi\/10.1063\/1.5128222","title":"Scilight Article"}],"groups":[{"id":"1279","name":"School of Mathematics"}],"categories":[],"keywords":[{"id":"173647","name":"_for_math_site_"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003E\u003Ca href=\u0022mailto:comm@math.gatech.edu\u0022\u003ESal Barone\u003C\/a\u003E\u003C\/p\u003E\r\n","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}