{"id":543737,"date":"2017-10-04T02:00:00","date_gmt":"2017-10-03T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=438ced3e52de1d9f70baa90e7ac44366"},"modified":"2017-10-04T02:00:00","modified_gmt":"2017-10-03T23:00:00","slug":"cusp-singularity-in-mean-field-ising-model","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=543737","title":{"rendered":"Cusp singularity in mean field Ising model"},"content":{"rendered":"<p>The entropy of the Ising model in the mean field approximation is derived by the Hamilton\u2013Jacobi<br \/>\nformalism. We consider a grand canonical ensemble with respect to the temperature and the external<br \/>\nmagnetic field. A cusp arises at the critical point, which shows a simple and new geometrical aspect<br \/>\nof this model. In an educational sense, this curve with a cusp helps students acquire a more<br \/>\nintuitive view of statistical phase transitions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The entropy of the Ising model in the mean field approximation is derived by the Hamilton\u2013Jacobi<br \/>\nformalism. We consider a grand canonical ensemble with respect to the temperature and the external<br \/>\nmagnetic field. A cusp arises at the critical point,&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-543737","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/543737","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=543737"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/543737\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=543737"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=543737"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=543737"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}