{"id":1644,"date":"2021-06-18T12:54:18","date_gmt":"2021-06-18T12:54:18","guid":{"rendered":"http:\/\/tp.lc.ehu.es\/earlyuniverse\/?page_id=1644"},"modified":"2024-07-16T14:04:51","modified_gmt":"2024-07-16T14:04:51","slug":"global-vortex-simulations","status":"publish","type":"page","link":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/global-vortex-simulations\/","title":{"rendered":"Field theory simulations for global vortices"},"content":{"rendered":"<h4>Global vortex excitations<\/h4>\n<p>The following movies correspond to some of the simulations performed for the paper:<\/p>\n<ul>\n<li>&#8220;<strong>Internal Excitations of Global Vortices<\/strong>&#8220;, Jose J. Blanco-Pillado, Daniel Jim\u00e9nez-Aguilar, Jos\u00e9 M. Queiruga and Jon Urrestilla, e-Print: arXiv:2107.02215 [hep-th], (<a href=\"https:\/\/arxiv.org\/pdf\/2107.02215.pdf\">pdf<\/a>); JCAP 10, (2021), 047.<\/li>\n<\/ul>\n<p><strong>Evolution of an excited vortex<br \/>\n<\/strong><\/p>\n<p>In the following video we show the evolution of a vortex initially excited with bound state of amplitude A(t=0)=0.5 . This initial excitation corresponds to the lowest energy bound state. See the paper for the details. The four figures represent:<\/p>\n<ul style=\"list-style-type: circle;\">\n<li style=\"padding-left: 30px;\">The evolution of\u00a0 the modulus of the scalar field along the radial direction.<\/li>\n<li style=\"padding-left: 30px;\">The perturbation of the modulus of the scalar field around the vortex solution.<\/li>\n<li style=\"padding-left: 30px;\">The massive 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><video controls=\"controls\" width=\"682\" height=\"341\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2021\/06\/video_firstmode.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p>We now show the decay of the second bound state. Note that this second mode has a wavefunction that extends to a much larger distance from the core of the vortex.<\/p>\n<p><video controls=\"controls\" width=\"680\" height=\"340\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2021\/06\/video_secondmode.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p><strong>\u00a0Formation of excited vortices in a phase transition<\/strong><\/p>\n<p>In this video we show the formation of a collection of vortices and anti-vortices in a phase transition from a thermal initial condition.\u00a0 The evolution is performed in a\u00a0 (2+1) expanding de Sitter spacetime. We show the evolution of a small comoving region of the simulation. The physical size of the vortices is constant so in comoving coordinates their apparent size seems to shrink.<\/p>\n<p><video controls=\"controls\" width=\"758\" height=\"379\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2021\/06\/video_phase_transition2_longer.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p><strong>A vortex in a thermal bath<\/strong><\/p>\n<p>In this movie we show the evolution of a global vortex in de Sitter space from an initial condition of the excited vortex heated at temperature Theta= 0.1 (this dimensionless constant describes the ratio between the temperature of the thermal bath and the typical energy scale of the vortex solution) . We show in the movie a zoom in of the region where the vortex is.<\/p>\n<p><video controls=\"controls\" width=\"700\" height=\"350\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2021\/06\/video_thermal_vortex2.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n<p><strong>The cosmological evolution of a network of vortices<\/strong><\/p>\n<p>In this movie we show the evolution of a set of vortices and antivortices in a radiation dominated (2+1) expanding universe. The scale factor grows by a factor of 10 in the course of our simulation. We show in this movie a quarter of the total comoving volume being simulated.<\/p>\n<p><video controls=\"controls\" width=\"720\" height=\"360\"><source src=\"http:\/\/tp.lc.ehu.es\/earlyuniverse\/wp-content\/uploads\/2021\/06\/video_cosm_sim_red.mp4\" type=\"video\/mp4\" \/><\/video><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Global vortex excitations The following movies correspond to some of the simulations performed for the paper: &#8220;Internal Excitations of Global Vortices&#8220;, Jose J. Blanco-Pillado, Daniel Jim\u00e9nez-Aguilar, Jos\u00e9 M. Queiruga and [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-1644","page","type-page","status-publish","hentry","has_no_thumb"],"_links":{"self":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1644","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=1644"}],"version-history":[{"count":29,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1644\/revisions"}],"predecessor-version":[{"id":2009,"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/pages\/1644\/revisions\/2009"}],"wp:attachment":[{"href":"http:\/\/tp.lc.ehu.eus\/earlyuniverse\/wp-json\/wp\/v2\/media?parent=1644"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}