Thermal effects in gravitational Hartree systems
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1544 | |
dc.contributor.author | Aki, Gonca L. | |
dc.contributor.author | Dolbeault, Jean | |
dc.contributor.author | Sparber, Christof | |
dc.date.accessioned | 2016-03-24T17:39:00Z | |
dc.date.available | 2019-06-28T08:07:59Z | |
dc.date.issued | 2010 | |
dc.description.abstract | We consider the non-relativistic Hartree model in the gravitational case, i.e. with attractive Coulomb-Newton interaction. For a given mass $M>0$, we construct stationary states with non-zero temperature T 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 T^*>0 (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 critical temperature T_c in (0, T^*) above which mixed states appear. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 0946-8633 | |
dc.identifier.uri | https://doi.org/10.34657/3389 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2545 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Gravitation | eng |
dc.subject.other | Hartree energy | eng |
dc.subject.other | entropy | eng |
dc.subject.other | ground states | eng |
dc.subject.other | free energy | eng |
dc.subject.other | Casimir functional | eng |
dc.subject.other | pure states | eng |
dc.subject.other | mixed states | eng |
dc.title | Thermal effects in gravitational Hartree systems | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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