{"id":1424,"date":"2020-10-14T16:24:26","date_gmt":"2020-10-14T16:24:26","guid":{"rendered":"http:\/\/tp.lc.ehu.es\/earlyuniverse\/?page_id=1424"},"modified":"2020-11-04T00:14:11","modified_gmt":"2020-11-04T00:14:11","slug":"kink-simulations","status":"publish","type":"page","link":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/kink-simulations\/","title":{"rendered":"Field Theory Simulations for Kinks"},"content":{"rendered":"<h4>Kink Soliton excitations<\/h4>\n<p>The following movies correspond to some of the simulations performed for the paper:<\/p>\n<ul>\n<li>&#8220;<strong>Exciting the Domain Wall Soliton<\/strong>&#8221; (Jose J. Blanco-Pillado, Daniel Jim\u00e9nez-Aguilar, Jon Urrestilla, e-Print: arXiv:2006.13255 [hep-th]).<\/li>\n<\/ul>\n<p><strong>Evolution of an excited kink<\/strong><\/p>\n<p>In the following video we show the evolution of a kink initially excited with a bound state of amplitude A(t=0)=0.6 . The four figures represent:<\/p>\n<ul style=\"list-style-type: circle;\">\n<li style=\"padding-left: 30px;\">The field scalar field evolution of a kink in an excited state.<\/li>\n<li style=\"padding-left: 30px;\">The perturbation of the field around the kink solution.<\/li>\n<li style=\"padding-left: 30px;\">The radiation field produced from this excited state.<\/li>\n<li style=\"padding-left: 30px;\">The evolution of the instantaneous amplitude of the bound state as a function of time.<\/li>\n<\/ul>\n<p>We use absorbing boundary conditions throughout this simulation. (See the paper for further details).<\/p>\n<p>&nbsp;<\/p>\n<p><video controls=\"controls\" width=\"670\" height=\"335\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2020\/10\/video_kink_plus_shape_NEWEST.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p>&nbsp;<\/p>\n<p><strong>Large amplitude excitation<\/strong><\/p>\n<p>In this video we show the evolution of a large amplitude perturbation on a kink solution. The amplitude is large enough (A(t=0)=1.5) for the system to eject a couple of kinks to infinity leaving behind an excited anti-kink solution.<\/p>\n<p><video controls=\"controls\" width=\"670\" height=\"335\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2020\/11\/video_emission_of_kinks_SLOW.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p>&nbsp;<\/p>\n<h4><\/h4>\n<p>&nbsp;<\/p>\n<p><strong>\u00a0Formation of excited kinks in a phase transition<\/strong><\/p>\n<p>In this video we show the formation of a collection of kinks and anti-kinks in a phase transition from a thermal initial condition.\u00a0 The evolution is performed in a\u00a0 (1+1) de Sitter spacetime with 1\/H = 25, where the units of length are determined by the thickness of the kink. Note that the transition also leads to the formation of oscillon configurations.<\/p>\n<p><video controls=\"controls\" width=\"660\" height=\"330\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2020\/10\/video_phase_transition.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p>&nbsp;<\/p>\n<p>We show in the following video a zoom in the region to the far right of the previous simulation where a kink is formed. We also show the amplitude of the excitation in this case as a function of time.<\/p>\n<p>&nbsp;<\/p>\n<p><video controls=\"controls\" width=\"654\" height=\"327\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2020\/10\/video_phase_transition_zoom.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p>&nbsp;<\/p>\n<p><strong>A kink in a thermal bath<\/strong><\/p>\n<p>In this movie we show the evolution of a kink in de Sitter space from an initial condition of the excited soliton heated at temperature Theta= 0.01 (This dimensionless constant describes the ratio between the temperature of the thermal bath and the typical energy of the kink solution) . We also show the field distribution of the perturbation and the evolution of the amplitude of the excitation.<\/p>\n<p><video controls=\"controls\" width=\"654\" height=\"327\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2020\/10\/video_thermal_kink.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kink Soliton excitations The following movies correspond to some of the simulations performed for the paper: &#8220;Exciting the Domain Wall Soliton&#8221; (Jose J. Blanco-Pillado, Daniel Jim\u00e9nez-Aguilar, Jon Urrestilla, e-Print: arXiv:2006.13255 [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-1424","page","type-page","status-publish","hentry","has_no_thumb"],"_links":{"self":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1424","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/comments?post=1424"}],"version-history":[{"count":40,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1424\/revisions"}],"predecessor-version":[{"id":1508,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1424\/revisions\/1508"}],"wp:attachment":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/media?parent=1424"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}