| dc.contributor.author | Degond, Pierre | |
| dc.contributor.author | Frouvelle, Amic | |
| dc.contributor.author | Liu, Jian-Guo | |
| dc.date.accessioned | 2013-04-11T08:05:09Z | |
| dc.date.available | 2013-04-11T08:05:09Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 0003-9527 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/11210 | |
| dc.language.iso | en | en |
| dc.subject | von Mises-Fisher distribution | |
| dc.subject.ddc | 520 | en |
| dc.title | Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics | |
| dc.type | Article accepté pour publication ou publié | |
| dc.contributor.editoruniversityother | Department of Physics and Department of Mathematics Duke University;États-Unis | |
| dc.contributor.editoruniversityother | Université Paul Sabatier - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées (INSA) - Toulouse – CNRS : UMR5219;France | |
| dc.description.abstracten | We provide a complete and rigorous description of phase transitions for kinetic models of self-propelled particles interacting through alignment. These models exhibit a competition between alignment and noise. Both the alignment frequency and noise intensity depend on a measure of the local alignment. We show that, in the spatially homogeneous case, the phase transition features (number and nature of equilibria, stability, convergence rate, phase diagram, hysteresis) are totally encoded in how the ratio between the alignment and noise intensities depend on the local alignment. In the spatially inhomogeneous case, we derive the macroscopic models associated to the stable equilibria and classify their hyperbolicity according to the same function. | |
| dc.relation.isversionofjnlname | Archive for Rational Mechanics and Analysis | |
| dc.relation.isversionofjnlvol | 216 | |
| dc.relation.isversionofjnlissue | 1 | |
| dc.relation.isversionofjnldate | 2015 | |
| dc.relation.isversionofjnlpages | 63-115 | |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1007/s00205-014-0800-7 | |
| dc.relation.isversionofjnlpublisher | Springer | |
| dc.subject.ddclabel | Sciences connexes (physique, astrophysique) | en |
| dc.description.submitted | non | en |
| dc.description.ssrncandidate | non | |
| dc.description.halcandidate | oui | |
| dc.description.readership | recherche | |
| dc.description.audience | International | |
| dc.relation.Isversionofjnlpeerreviewed | oui | |
| dc.date.updated | 2017-09-21T10:23:18Z | |
