Inclusion statistics and particle condensation in 2 dimensions

التفاصيل البيبلوغرافية
العنوان: Inclusion statistics and particle condensation in 2 dimensions
المؤلفون: Ouvry, Stéphane, Polychronakos, Alexios P.
المصدر: Phys. Rev. E 107, L062102 (2023)
سنة النشر: 2023
المجموعة: Mathematics
Condensed Matter
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematical Physics
الوصف: 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
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.107.L062102
URL الوصول: http://arxiv.org/abs/2303.08835
رقم الأكسشن: edsarx.2303.08835
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.107.L062102