| dc.contributor.author | Sparber, Christof | |
| dc.contributor.author | Dolbeault, Jean | |
| dc.contributor.author | Aki, Gonca L. | |
| dc.date.accessioned | 2010-09-06T09:00:28Z | |
| dc.date.available | 2010-09-06T09:00:28Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/4694 | |
| dc.language.iso | en | en |
| dc.subject | mixed states | en |
| dc.subject | pure states | en |
| dc.subject | Casimir functional | en |
| dc.subject | free energy | en |
| dc.subject | ground states | en |
| dc.subject | entropy | en |
| dc.subject | Hartree energy | en |
| dc.subject | Gravitation | en |
| dc.subject.ddc | 520 | en |
| dc.title | Thermal effects in gravitational Hartree systems | en |
| dc.type | Article accepté pour publication ou publié | |
| dc.contributor.editoruniversityother | University of Illinois at Chicago;États-Unis | |
| dc.contributor.editoruniversityother | Universität Wien;Autriche | |
| dc.description.abstracten | We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass, we construct stationary states with non-zero temperature by minimizing the corresponding free energy functional. It is proved that minimizers exist if and only if the temperature of the system is below a certain threshold(possibly infinite), which itself depends on the specific choice of the entropy functional. We also investigate whether the corresponding minimizers are mixed or pure quantum states and characterize a positive critical temperature above which mixed states appear. | en |
| dc.relation.isversionofjnlname | Annales Henri Poincaré | |
| dc.relation.isversionofjnlvol | 12 | |
| dc.relation.isversionofjnlissue | 6 | |
| dc.relation.isversionofjnldate | 2011 | |
| dc.relation.isversionofjnlpages | 1055-1079 | |
| dc.relation.isversionofdoi | http://dx.doi.org/10.1007/s00023-011-0096-1 | |
| dc.identifier.urlsite | http://hal.archives-ouvertes.fr/hal-00512641/fr/ | en |
| dc.description.sponsorshipprivate | oui | en |
| dc.relation.isversionofjnlpublisher | Springer | |
| dc.subject.ddclabel | Sciences connexes (physique, astrophysique) | en |
