{"id":2395,"date":"2001-11-28T16:48:00","date_gmt":"2001-11-28T16:48:00","guid":{"rendered":"http:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/?p=2395"},"modified":"2020-05-10T16:08:10","modified_gmt":"2020-05-10T16:08:10","slug":"fitting-the-excess-wing-in-the-dielectric-relaxation-of-propylene-carbonate","status":"publish","type":"post","link":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/en\/2001\/11\/28\/fitting-the-excess-wing-in-the-dielectric-relaxation-of-propylene-carbonate\/","title":{"rendered":"Fitting the excess wing in the dielectric &alpha;-relaxation of propylene carbonate"},"content":{"rendered":"\n<div class=\"wp-block-group alignwide\"><div class=\"wp-block-group__inner-container is-layout-flow wp-block-group-is-layout-flow\">\n<h3 class=\"m0\" style=\"text-align:center\">R. Hilfer<\/h3>\n<p style=\"text-align:center\">\nJournal of Physics: Condensed Matter <b>14<\/b>, 2297 (2002)<br>\nhttps:\/\/doi.org\/10.1088\/0953-8984\/14\/9\/318<br>\n<\/p>\n<p style=\"text-align:center\">submitted on <br> Wednesday, November 28, 2001<\/p>\n<p>A novel fitting function for the complex frequency-dependent dielectric susceptibility is introduced and compared against other fitting functions for experimental broadband dielectric loss spectra of propylene carbonate taken from Schneider et al (Schneider U, Lunkenheimer P, Brand R and Loidl A 1999 Phys. Rev. E 59 6924). The fitting function contains a single stretching exponent similar to the familiar Cole\u2013Davidson or Kohlrausch stretched exponential fits. It is compared to these traditional fits as well as to the Havriliak\u2013Negami susceptibility and a susceptibility for a two-step Debye relaxation. The results for the novel fit are found to give superior agreement.<\/p>\n<p><br><br>For more information see<\/p>\n<div class=\"wp-block-columns has-4-columns m0\">\n<div class=\"wp-block-column m0\">\n<a href=\"https:\/\/iopscience.iop.org\/article\/10.1088\/0953-8984\/14\/9\/318\/meta\">\n<div class=\"wp-block-image m0\">\n<figure class=\"aligncenter size-large is-resized m0\">\n<img decoding=\"async\" src=\"http:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-content\/uploads\/2020\/04\/knpfr.svg\" alt=\"url\" class=\"wp-image-1312\" width=\"78\">\n<\/figure><\/div>\n<h4 class=\"m0\" style=\"text-align:center; color:#323232\">url<\/h4><\/a>\n<\/div>\n<div class=\"wp-block-column m0\">\n<a href=\"\/~hilfer\/publications\/fitting-the-excess-wing-in-the-dielectric-\u03b1-relaxation-of-propylene-carbonate-Hilfer.pdf\">\n<div class=\"wp-block-image m0\">\n<figure class=\"aligncenter size-large is-resized m0\">\n<img decoding=\"async\" src=\"http:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-content\/uploads\/2020\/04\/knpfr.svg\" alt=\"pdf\" class=\"wp-image-1312\" width=\"78\">\n<\/figure><\/div>\n<h4 class=\"m0\" style=\"text-align:center; color: #323232\">pdf<\/h4><\/a>\n<\/div>\n<div class=\"wp-block-column m0\">\n<a href=\"\/~hilfer\/publikationen\/html\/JPhysC-2002-14-2297\/index.html\">\n<div class=\"wp-block-image m0\">\n<figure class=\"aligncenter size-large is-resized m0\">\n<img decoding=\"async\" src=\"http:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-content\/uploads\/2020\/04\/knpfr.svg\" alt=\"html\" class=\"wp-image-1312\" width=\"78\">\n<\/figure><\/div>\n<h4 class=\"m0\" style=\"text-align:center; color:#323232\">html<\/h4><\/a>\n<\/div>\n<div class=\"wp-block-column m0\">\n<a href=\"\/~hilfer\/wp\/en\/theoretical-physics-at-icp\/science\/publicationlist#hil02a\">\n<div class=\"wp-block-image m0\">\n<figure class=\"aligncenter size-large is-resized m0\">\n<img decoding=\"async\" src=\"http:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-content\/uploads\/2020\/04\/knpfr.svg\" alt=\"html\" class=\"wp-image-1312\" width=\"78\">\n<\/figure><\/div>\n<h4 class=\"m0\" style=\"text-align:center; color:#323232\">more<\/h4><\/a>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>R. Hilfer Journal of Physics: Condensed Matter 14, 2297 (2002) https:\/\/doi.org\/10.1088\/0953-8984\/14\/9\/318 submitted on Wednesday, November 28, 2001 A novel fitting function for the complex frequency-dependent dielectric susceptibility is introduced and compared against other fitting functions for experimental broadband dielectric loss spectra of propylene carbonate taken from Schneider et al (Schneider U, Lunkenheimer P, Brand R&hellip;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[254,51,229,123],"tags":[],"class_list":["post-2395","post","type-post","status-publish","format-standard","hentry","category-dielectric-relaxation","category-fractional-calculus","category-fractional-time","category-glasses"],"_links":{"self":[{"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/posts\/2395","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/comments?post=2395"}],"version-history":[{"count":2,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/posts\/2395\/revisions"}],"predecessor-version":[{"id":2397,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/posts\/2395\/revisions\/2397"}],"wp:attachment":[{"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/media?parent=2395"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/categories?post=2395"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www2.icp.uni-stuttgart.de\/~hilfer\/wp\/wp-json\/wp\/v2\/tags?post=2395"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}