{"id":378,"date":"2020-10-10T16:57:53","date_gmt":"2020-10-10T15:57:53","guid":{"rendered":"https:\/\/research.reading.ac.uk\/cmpe\/?p=378"},"modified":"2021-01-20T17:41:48","modified_gmt":"2021-01-20T17:41:48","slug":"new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere","status":"publish","type":"post","link":"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/","title":{"rendered":"New paper &#8211; Mechanics and thermodynamics of a new minimal model of the atmosphere"},"content":{"rendered":"<p>Vissio, G. and Lucarini, V.\u00a0 (2020) Mechanics and thermodynamics of a new minimal model of the atmosphere. The European Physical Journal Plus, 135 (10). 807.<\/p>\n<p><a href=\"https:\/\/link.springer.com\/article\/10.1140\/epjp\/s13360-020-00814-w\">https:\/\/link.springer.com\/article\/10.1140\/epjp\/s13360-020-00814-w<\/a><\/p>\n<p><strong>Abstract<\/strong><br \/>\nThe understanding of the fundamental properties of the climate system has long benefitted from the use of simple numerical models able to parsimoniously represent the essential ingredients of its processes. Here, we introduce a new model for the atmosphere that is constructed by supplementing the now-classic Lorenz \u201996 one-dimensional lattice model with temperature-like variables. The model features an energy cycle that allows for energy to be converted between the kinetic form and the potential form and for introducing a notion of efficiency. The model\u2019s evolution is controlled by two contributions\u2014a quasi-symplectic and a gradient one, which resemble (yet not conforming to) a metriplectic structure. After investigating the linear stability of the symmetric fixed point, we perform a systematic parametric investigation that allows us to define regions in the parameters space where at steady-state stationary, quasi-periodic, and chaotic motions are realised, and study how the terms responsible for defining the energy budget of the system depend on the external forcing injecting energy in the kinetic and in the potential energy reservoirs. Finally, we find preliminary evidence that the model features extensive chaos. We also introduce a more complex version of the model that is able to accommodate for multiscale dynamics and that features an energy cycle that more closely mimics the one of the Earth\u2019s atmosphere.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Vissio, G. and Lucarini, V.\u00a0 (2020) Mechanics and thermodynamics of a new minimal model of the atmosphere. The European Physical Journal Plus, 135 (10). 807. https:\/\/link.springer.com\/article\/10.1140\/epjp\/s13360-020-00814-w Abstract The understanding of&#8230;<a class=\"read-more\" href=\"&#104;&#116;&#116;&#112;&#115;&#58;&#47;&#47;&#114;&#101;&#115;&#101;&#97;&#114;&#99;&#104;&#46;&#114;&#101;&#97;&#100;&#105;&#110;&#103;&#46;&#97;&#99;&#46;&#117;&#107;&#47;&#99;&#109;&#112;&#101;&#47;&#110;&#101;&#119;&#45;&#112;&#97;&#112;&#101;&#114;&#45;&#109;&#101;&#99;&#104;&#97;&#110;&#105;&#99;&#115;&#45;&#97;&#110;&#100;&#45;&#116;&#104;&#101;&#114;&#109;&#111;&#100;&#121;&#110;&#97;&#109;&#105;&#99;&#115;&#45;&#111;&#102;&#45;&#97;&#45;&#110;&#101;&#119;&#45;&#109;&#105;&#110;&#105;&#109;&#97;&#108;&#45;&#109;&#111;&#100;&#101;&#108;&#45;&#111;&#102;&#45;&#116;&#104;&#101;&#45;&#97;&#116;&#109;&#111;&#115;&#112;&#104;&#101;&#114;&#101;&#47;\">Read More ><\/a><\/p>\n","protected":false},"author":469,"featured_media":386,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"__cvm_playback_settings":[],"__cvm_video_id":"","footnotes":""},"categories":[1,24],"tags":[],"coauthors":[23],"class_list":["post-378","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorised","category-publication"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>New paper - Mechanics and thermodynamics of a new minimal model of the atmosphere - Centre for the Mathematics of Planet Earth<\/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:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/\" \/>\n<meta property=\"og:locale\" content=\"en_GB\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"New paper - Mechanics and thermodynamics of a new minimal model of the atmosphere - Centre for the Mathematics of Planet Earth\" \/>\n<meta property=\"og:description\" content=\"Vissio, G. and Lucarini, V.\u00a0 (2020) Mechanics and thermodynamics of a new minimal model of the atmosphere. The European Physical Journal Plus, 135 (10). 807. https:\/\/link.springer.com\/article\/10.1140\/epjp\/s13360-020-00814-w Abstract The understanding of...Read More &gt;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/\" \/>\n<meta property=\"og:site_name\" content=\"Centre for the Mathematics of Planet Earth\" \/>\n<meta property=\"article:published_time\" content=\"2020-10-10T15:57:53+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-01-20T17:41:48+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/research.reading.ac.uk\/cmpe\/wp-content\/uploads\/sites\/163\/2021\/01\/magazines-1108801_640.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"640\" \/>\n\t<meta property=\"og:image:height\" content=\"494\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Donna Walton\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Donna Walton\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimated reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/\",\"url\":\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/\",\"name\":\"New paper - Mechanics and thermodynamics of a new minimal model of the atmosphere - Centre for the Mathematics of Planet Earth\",\"isPartOf\":{\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/#website\"},\"datePublished\":\"2020-10-10T15:57:53+00:00\",\"dateModified\":\"2021-01-20T17:41:48+00:00\",\"author\":{\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/#\/schema\/person\/ed94c3d9e2aa2dce8ea35fee5b9664bf\"},\"breadcrumb\":{\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/#breadcrumb\"},\"inLanguage\":\"en-GB\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/research.reading.ac.uk\/cmpe\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"New paper &#8211; Mechanics and thermodynamics of a new minimal model of the atmosphere\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/#website\",\"url\":\"https:\/\/research.reading.ac.uk\/cmpe\/\",\"name\":\"Centre for the Mathematics of Planet Earth\",\"description\":\"at the University of Reading\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/research.reading.ac.uk\/cmpe\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-GB\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/#\/schema\/person\/ed94c3d9e2aa2dce8ea35fee5b9664bf\",\"name\":\"Donna Walton\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-GB\",\"@id\":\"https:\/\/research.reading.ac.uk\/cmpe\/#\/schema\/person\/image\/5a16b776489b86a745e714b503102424\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/96cdf5ace3b619fa34625ee0dc43cc24a03354aaf4e0f4c43cc1b11ddfe7929b?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/96cdf5ace3b619fa34625ee0dc43cc24a03354aaf4e0f4c43cc1b11ddfe7929b?s=96&d=mm&r=g\",\"caption\":\"Donna Walton\"},\"url\":\"https:\/\/research.reading.ac.uk\/cmpe\/author\/xd923591reading-ac-uk\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"New paper - Mechanics and thermodynamics of a new minimal model of the atmosphere - Centre for the Mathematics of Planet Earth","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/research.reading.ac.uk\/cmpe\/new-paper-mechanics-and-thermodynamics-of-a-new-minimal-model-of-the-atmosphere\/","og_locale":"en_GB","og_type":"article","og_title":"New paper - Mechanics and thermodynamics of a new minimal model of the atmosphere - Centre for the Mathematics of Planet Earth","og_description":"Vissio, G. and Lucarini, V.\u00a0 (2020) Mechanics and thermodynamics of a new minimal model of the atmosphere. 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