Inclusion statistics and particle condensation in 2 dimensions

Autor:	Ouvry, Stéphane, Polychronakos, Alexios P.
Rok vydání:	2023
Předmět:	Condensed Matter - Statistical Mechanics High Energy Physics - Theory Mathematical Physics
Zdroj:	Phys. Rev. E 107, L062102 (2023)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevE.107.L062102
Popis:	We propose a new type of quantum statistics, which we call inclusion statistics, in which particles tend to coalesce more than ordinary bosons. Inclusion statistics is defined in analogy with exclusion statistics, in which statistical exclusion is stronger than in Fermi statistics, but now extrapolating beyond Bose statistics, resulting in statistical inclusion. A consequence of inclusion statistics is that the lowest space dimension in which particles can condense in the absence of potentials is $d=2$, unlike $d=3$ for the usual Bose-Einstein condensation. This reduction in the dimension happens for any inclusion stronger than bosons, and the critical temperature increases with stronger inclusion. Possible physical realizations of inclusion statistics involving attractive interactions between bosons may be experimentally achievable. Comment: 12 pages, 0 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.08835 Zobrazit plný text záznamu View this record from Arxiv