{"id":1911,"date":"2013-12-15T13:49:49","date_gmt":"2013-12-15T16:49:49","guid":{"rendered":"http:\/\/www.complejidadsocial.udd.cl\/?p=1911"},"modified":"2013-12-15T13:49:49","modified_gmt":"2013-12-15T16:49:49","slug":"first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics","status":"publish","type":"post","link":"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/","title":{"rendered":"First passage time on pattern formation in a non-local Fisher population dynamics"},"content":{"rendered":"<p>Miguel A. Fuentes and Manuel O. C\u00e1ceres. Central European Journal of Physics. DOI: 10.2478\/s11534-013-0268-3.<\/p>\n<p><strong>ABSTRACT<\/strong><\/p>\n<p align=\"LEFT\">We use stochastic dynamics to develop the patterned attractor of a non\u2013local extended system. This is done analytically using the stochastic path perturbation approach scheme, where a theory of perturbation in the small noise parameter is introduced to analyze the random escape of the stochastic field from the unstable state. Emphasis is placed on the specific mode selection that these types of systems exhibit. Concerning the stochastic propagation of the front we have carried out Monte Carlo simulations which coincide with our theoretical predictions.<\/p>\n<p><a href=\"https:\/\/gobierno.udd.cl\/cics\/files\/2014\/07\/Central-Euroepan-Journal-of-Physics-CICS-MF-2013.pdf\" target=\"_blank\" rel=\"noopener noreferrer\"><span style=\"font-family: TeXGyreHeros-Regular; font-size: xx-small;\"><span style=\"font-family: TeXGyreHeros-Regular; font-size: xx-small;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-85\" src=\"https:\/\/gobierno.udd.cl\/cics\/files\/2012\/07\/pdf-cics.jpg\" alt=\"PDF\" width=\"40\" height=\"40\" \/><\/span><\/span><\/a><\/p>\n<p><span style=\"font: 13px\/19.5px Arial, Verdana, sans-serif; text-align: left; color: #333333; text-transform: none; text-indent: 0px; letter-spacing: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; background-color: #ffffff; -webkit-text-stroke-width: 0px;\">Do not disseminate\/print without permission of copyright holder.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Miguel A. Fuentes and Manuel O. C\u00e1ceres. Central European Journal of Physics. DOI: 10.2478\/s11534-013-0268-3. ABSTRACT We use stochastic dynamics to develop the patterned attractor of a non\u2013local extended system. This is done analytically using the stochastic path perturbation approach scheme, where a theory of perturbation in the small noise parameter is introduced to analyze the [&hellip;]<\/p>\n","protected":false},"author":9192218,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,5],"tags":[],"class_list":["post-1911","post","type-post","status-publish","format-standard","hentry","category-papers","category-publications"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.9 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>First passage time on pattern formation in a non-local Fisher population dynamics - Centro de Investigaci\u00f3n en Complejidad Social<\/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:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"First passage time on pattern formation in a non-local Fisher population dynamics - Centro de Investigaci\u00f3n en Complejidad Social\" \/>\n<meta property=\"og:description\" content=\"Miguel A. Fuentes and Manuel O. C\u00e1ceres. Central European Journal of Physics. DOI: 10.2478\/s11534-013-0268-3. ABSTRACT We use stochastic dynamics to develop the patterned attractor of a non\u2013local extended system. This is done analytically using the stochastic path perturbation approach scheme, where a theory of perturbation in the small noise parameter is introduced to analyze the [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\" \/>\n<meta property=\"og:site_name\" content=\"Centro de Investigaci\u00f3n en Complejidad Social\" \/>\n<meta property=\"article:published_time\" content=\"2013-12-15T16:49:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/gobierno.udd.cl\/cics\/files\/2012\/07\/pdf-cics.jpg\" \/>\n<meta name=\"author\" content=\"mariapia.kralemann\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mariapia.kralemann\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\"},\"author\":{\"name\":\"mariapia.kralemann\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/#\/schema\/person\/129ad217f6071913cdd7514153362439\"},\"headline\":\"First passage time on pattern formation in a non-local Fisher population dynamics\",\"datePublished\":\"2013-12-15T16:49:49+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\"},\"wordCount\":125,\"commentCount\":0,\"image\":{\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/gobierno.udd.cl\/cics\/files\/2012\/07\/pdf-cics.jpg\",\"articleSection\":[\"PAPERS\",\"PUBLICATIONS\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\",\"url\":\"https:\/\/gobierno.udd.cl\/cics\/2013\/12\/15\/first-passage-time-on-pattern-formation-in-a-non-local-fisher-population-dynamics\/\",\"name\":\"First passage time on pattern formation in a non-local Fisher population dynamics - 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