{"id":8376,"date":"2022-09-13T06:38:02","date_gmt":"2022-09-13T04:38:02","guid":{"rendered":"https:\/\/fermi.univ-tlse3.fr\/?post_type=tribe_events&#038;p=8376"},"modified":"2022-09-26T09:57:55","modified_gmt":"2022-09-26T07:57:55","slug":"prolongements-analytiques-et-integrabilite-pour-luniversalite-kpz-avec-bords-ulysse-godreau-lpt-these-23-09-2022-10h","status":"publish","type":"tribe_events","link":"https:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/prolongements-analytiques-et-integrabilite-pour-luniversalite-kpz-avec-bords-ulysse-godreau-lpt-these-23-09-2022-10h\/","title":{"rendered":"Prolongements analytiques et int\u00e9grabilit\u00e9 pour l&rsquo;universalit\u00e9 KPZ avec bords (Ulysse Godreau \/ LPT \/ Th\u00e8se). &#8211; 23\/09\/2022, 10H"},"content":{"rendered":"<p><span style=\"font-size: 20px;\"><strong> Ulysse Godreau, LPT\/ <\/strong><span style=\"font-size: 16px;\">Salle de s\u00e9minaire (3<sup>\u00e8me<\/sup> \u00e9tage du 3R1)<\/span><b><br \/>\n<\/b><\/span><\/p>\n<p><span style=\"font-size: 20px;\"><strong>R\u00e9sum\u00e9 :<\/strong><\/span> Le processus d&rsquo;exclusion simple asym\u00e9trique (ASEP) est un mod\u00e8le stochastique dans lequel des particules pr\u00e9sentant des interactions de contact se d\u00e9placent al\u00e9atoirement sur une cha\u00eene unidimensionelle. Malgr\u00e9 la simplicit\u00e9 de sa d\u00e9finition, le processus d&rsquo;exclusion est un mod\u00e8le de choix pour approfondir notre connaissance de la physique statistique des syst\u00e8mes hors-\u00e9quilibre. L&rsquo;ASEP est en effet l&rsquo;un des mod\u00e8les les plus simples pr\u00e9sentant un \u00e9tat d&rsquo;\u00e9quilibre brisant la condition de bilan d\u00e9taill\u00e9. Il apppartient \u00e0 la classe d&rsquo;universalit\u00e9 KPZ, un vaste ensemble de mod\u00e8les initialement con\u00e7us pour d\u00e9crire la croissance d&rsquo;interfaces entre milieux h\u00e9t\u00e9rog\u00e8nes, et dont abondent les applications \u00e0 des domaines \u00e9tonnamment vari\u00e9s de la physique. Il pr\u00e9sente enfin la particularit\u00e9 d&rsquo;\u00eatre int\u00e9grable par ansatz de Bethe, ce qui permet le calcul exact des fluctuations du courant de particules.<\/p>\n<p>Dans cette th\u00e8se nous consid\u00e9rons le cas totalement asym\u00e9trique (TASEP) du processus avec des conditions aux bords ouvertes. Nous obtenons des expressions exactes pour les premiers \u00e9tats excit\u00e9s d&rsquo;un op\u00e9rateur donnant acc\u00e8s aux fluctuations du courant de particules en temps fini dans la limite thermodynamique, pour des r\u00e9gimes du syst\u00e8me pr\u00e9sentant des propri\u00e9t\u00e9s universelles caract\u00e9ristiques de la classe KPZ.<br \/>\nNotre m\u00e9thode de calcul des \u00e9tats propres du TASEP ouvert est fond\u00e9e sur le calcul syst\u00e9matique du prolongement analytique d&rsquo;expressions d\u00e9j\u00e0 connues pour l&rsquo;\u00e9tat stationnaire du processus. Ces r\u00e9sultats sont ensuite valid\u00e9s et partiellement d\u00e9montr\u00e9s par l&rsquo;\u00e9tude asymptotiques des \u00e9quations de Bethe du processus.<\/p>\n<hr \/>\n<p class=\"western\"><code class=\"western\"><div class=\"leaflet-map WPLeafletMap\" style=\"height:300px; width:80%;\"><\/div><script>\nwindow.WPLeafletMapPlugin = window.WPLeafletMapPlugin || [];\nwindow.WPLeafletMapPlugin.push(function WPLeafletMapShortcode() {\/*<script>*\/\nvar baseUrl = atob('aHR0cHM6Ly97c30udGlsZS5vcGVuc3RyZWV0bWFwLm9yZy97en0ve3h9L3t5fS5wbmc=');\nvar base = (!baseUrl && window.MQ) ?\n    window.MQ.mapLayer() : L.tileLayer(baseUrl,\n        L.Util.extend({}, {\n            detectRetina: 0,\n        },\n        {\"subdomains\":\"abc\",\"noWrap\":false,\"maxZoom\":18}        )\n    );\n    var options = L.Util.extend({}, {\n        layers: [base],\n        attributionControl: false\n    },\n    {\"zoomControl\":true,\"scrollWheelZoom\":true,\"doubleClickZoom\":true,\"fitBounds\":true,\"minZoom\":9,\"maxZoom\":18,\"maxBounds\":null,\"attribution\":\"<a href=\\\"http:\\\/\\\/leafletjs.com\\\" title=\\\"Une biblioth\\u00e8que JS pour des cartes interactives\\\">Leaflet<\\\/a>; 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23\/09\/2022, 10H<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"template":"","meta":{"neve_meta_sidebar":"","neve_meta_container":"","neve_meta_enable_content_width":"","neve_meta_content_width":0,"neve_meta_title_alignment":"","neve_meta_author_avatar":"","neve_post_elements_order":"","neve_meta_disable_header":"","neve_meta_disable_footer":"","neve_meta_disable_title":"","_tribe_events_status":"","_tribe_events_status_reason":"","footnotes":""},"tags":[],"tribe_events_cat":[48,308,313],"class_list":["post-8376","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-events","tribe_events_cat-hdr-thesis","tribe_events_cat-lpt","cat_events","cat_hdr-thesis","cat_lpt"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Prolongements analytiques et int\u00e9grabilit\u00e9 pour l&#039;universalit\u00e9 KPZ avec bords (Ulysse Godreau \/ LPT \/ Th\u00e8se). - 23\/09\/2022, 10H - FeRMI<\/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:\/\/fermi.univ-tlse3.fr\/fr\/home\/event\/prolongements-analytiques-et-integrabilite-pour-luniversalite-kpz-avec-bords-ulysse-godreau-lpt-these-23-09-2022-10h\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Prolongements analytiques et int\u00e9grabilit\u00e9 pour l&#039;universalit\u00e9 KPZ avec bords (Ulysse Godreau \/ LPT \/ Th\u00e8se). - 23\/09\/2022, 10H - FeRMI\" \/>\n<meta property=\"og:description\" content=\"Ulysse Godreau, LPT\/ Salle de s\u00e9minaire (3\u00e8me \u00e9tage du 3R1) R\u00e9sum\u00e9 : Le processus d&rsquo;exclusion simple asym\u00e9trique (ASEP) est un mod\u00e8le stochastique dans lequel des particules pr\u00e9sentant des interactions de&hellip;&nbsp;Lire la suite &raquo;Prolongements analytiques et int\u00e9grabilit\u00e9 pour l&rsquo;universalit\u00e9 KPZ avec bords (Ulysse Godreau \/ LPT \/ Th\u00e8se). &#8211; 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