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dc.contributor.authorSparber, Christof
dc.contributor.authorDolbeault, Jean
dc.contributor.authorAki, Gonca L.
dc.date.accessioned2010-09-06T09:00:28Z
dc.date.available2010-09-06T09:00:28Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/4694
dc.language.isoenen
dc.subjectmixed statesen
dc.subjectpure statesen
dc.subjectCasimir functionalen
dc.subjectfree energyen
dc.subjectground statesen
dc.subjectentropyen
dc.subjectHartree energyen
dc.subjectGravitationen
dc.subject.ddc520en
dc.titleThermal effects in gravitational Hartree systemsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversity of Illinois at Chicago;États-Unis
dc.contributor.editoruniversityotherUniversität Wien;Autriche
dc.description.abstractenWe 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.isversionofjnlnameAnnales Henri Poincaré
dc.relation.isversionofjnlvol12
dc.relation.isversionofjnlissue6
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages1055-1079
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00023-011-0096-1
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00512641/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelSciences connexes (physique, astrophysique)en


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