Title




The qexponential family in statistical physics


Author






Abstract




The BoltzmannGibbs probability distribution, seen as a statistical model, belongs to the exponential family. Recently, the latter concept has been generalized. The qexponential family has been shown to be relevant for the statistical description of small isolated systems. Two main applications are reviewed: 1. The distribution of the momentum of a single particle is a qGaussian, the distribution of its velocity is a deformed Maxwellian; 2. The configurational density distribution belongs to the qexponential family. The definition of the temperature of small isolated systems is discussed. It depends on defining the thermodynamic entropy of a microcanonical ensemble in a suitable manner. The simple example of noninteracting harmonic oscillators shows that Rényi's entropy functional leads to acceptable results. 


Language




English


Source (journal)




Journal of physics : conference series.  Bristol, 2004, currens


Source (book)




Proceedings of Kyoto RIMS Workshop Mathematical Aspects of Generalized Entropies and their Applications / Suyari, H. [edit.]; et al. [edit.]


Publication




Bristol
:
Institute of Physics Publishing
,
2010


ISSN




17426588
[print]
17426596
[online]


Volume/pages




201
:1
(2010)
, p. 012003,1012003,11


Full text (Publisher's DOI)






Full text (open access)





