Artykuł w czasopiśmie
Brak miniatury
Licencja
ClosedAccessDostęp zamknięty
 

The Bogoliubov Free Energy Functional II: The Dilute Limit

Uproszczony widok
dc.abstract.enWe analyse the canonical Bogoliubov free energy functional in three dimensions at low temperatures in the dilute limit. We prove existence of a first-order phase transition and, in the limit āˆ«Vā†’8Ļ€a, we determine the critical temperature to be Tc=Tfc(1+1.49Ļ1/3a) to leading order. Here, Tfc is the critical temperature of the free Bose gas, Ļ is the density of the gas and a is the scattering length of the pair-interaction potential V. We also prove asymptotic expansions for the free energy. In particular, we recover the Leeā€“Huangā€“Yang formula in the limit āˆ«Vā†’8Ļ€a.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorNapiĆ³rkowski, Marcin
dc.contributor.authorSolovej, Jan Philip
dc.contributor.authorReuvers, Robin
dc.date.accessioned2024-01-26T09:58:34Z
dc.date.available2024-01-26T09:58:34Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.identifier.doi10.1007/S00220-017-3064-X
dc.identifier.issn0010-3616
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/121952
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofCommunications in Mathematical Physics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleThe Bogoliubov Free Energy Functional II: The Dilute Limit
dc.typeJournalArticle
dspace.entity.typePublication