Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Universal vortex statistics and stochastic geometry of Bose-Einstein condensation Description An account of the resource The cooling of a Bose gas in finite time results in the formation of a Bose-Einstein condensate that is spontaneously proliferated with vortices. We propose that the vortex spatial statistics is described by a homogeneous Poisson point process (PPP) with a density dictated by the Kibble-Zurek mechanism (KZM). We validate this model using numerical simulations of the two-dimensional stochastic Gross-Pitaevskii equation (SGPE) for both a homogeneous and a hard-wall trapped condensate. The KZM scaling of the average vortex number with the cooling rate is established along with the universal character of the vortex number distribution. The spatial statistics between vortices is characterized by analyzing the two-point defect-defect correlation function, the corresponding spacing distributions, and the random tessellation of the vortex pattern using the Voronoi cell area statistics. Combining the PPP description with the KZM, we derive universal theoretical predictions for each of these quantities and find them in agreement with the SGPE simulations. Our results establish the universal character of the spatial statistics of point-like topological defects generated during a continuous phase transition and the associated stochastic geometry. 2024 authors. Published by the American Physical Society. Creator An entity primarily responsible for making the resource Thudiyangal M.; Del Campo A. Source A related resource from which the described resource is derived Physical Review Research, Vol-6, No. 3 Publisher An entity responsible for making the resource available American Physical Society Date A point or period of time associated with an event in the lifecycle of the resource 2024-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1103/PhysRevResearch.6.033152" target="_blank" rel="noreferrer noopener">https://doi.org/10.1103/PhysRevResearch.6.033152</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85201553339&amp;doi=10.1103%2FPhysRevResearch.6.033152&amp;partnerID=40&amp;md5=0fdb165121009c0819e6a74eb205b671" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85201553339&amp;doi=10.1103%2fPhysRevResearch.6.033152&amp;partnerID=40&amp;md5=0fdb165121009c0819e6a74eb205b671</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 26431564 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Thudiyangal M., Department of Physics and Electronics, Christ University, Karnataka, Bengaluru, 560029, India, Department of Atomic and Molecular Physics, Manipal Academy of Higher Education, Manipal, 576 104, India, Department of Physics and Materials Science, University of Luxembourg, Luxembourg, L-1511, Luxembourg; Del Campo A., Department of Physics and Materials Science, University of Luxembourg, Luxembourg, L-1511, Luxembourg, Donostia International Physics Center, San Sebasti, E-20018, Spain