A unified grand canonical description of the nonextensive thermostatistics of the quantum gases: Fractal and fractional approach
Küçük Resim Yok
Tarih
2000
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, the particles of quantum gases, that is, bosons and fermions are regarded as g-ons which obey fractional exclusion statistics. With this point of departure the thermostatistical relations concerning the Bose and Fermi systems are unified under the g-on formulation where a fractal approach is adopted. The fractal inspired entropy, the partition function, distribution function, the thermodynamics potential and the total number of g-ons have been found for a grand canonical g-on system. It is shown that from the g-on formulation; by a suitable choice of the parameters of the nonextensivity g, the parameter of the fractional exclusion statistics g, nonextensive Tsallis (q not equal 1) as well as extensive (q = 1) standard thermostatistical relations of the Bose and Fermi systems are recovered.
Açıklama
Anahtar Kelimeler
Kaynak
European Physical Journal B
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
Cilt
14
Sayı
4
