Exact and approximate results of non-extensive quantum statistics

Citation
U. Tirnakli et Df. Torres, Exact and approximate results of non-extensive quantum statistics, EUR PHY J B, 14(4), 2000, pp. 691-698
Citations number
30
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL B
ISSN journal
1434-6028 → ACNP
Volume
14
Issue
4
Year of publication
2000
Pages
691 - 698
Database
ISI
SICI code
1434-6028(200004)14:4<691:EAARON>2.0.ZU;2-E
Abstract
We develop an analytical technique to derive explicit forms of thermodynami cal quantities within the asymptotic approach to son-extensive quantum dist ribution functions. Using it, we find an expression for the number of parti cles in a boson system which we compare with other approximate scheme (i.e. factorization approach), and with the recently obtained exact result. To d o this, we investigate the predictions on Bose-Einstein condensation and th e blackbody radiation. We find that both approximation techniques give resu lts similar to (up to O(q-1)) the exact ones, making them a useful tool for computations. Because of the simplicity of the factorization approach form ulae, it appears that this is the easiest way to handle with physical syste ms which might exhibit slight deviations from extensivity.