Abstract
We have studied finite -body -dimensional nonextensive ideal gases and harmonic oscillators, by using the maximum-entropy methods with the and normal averages (: the entropic index). The validity range, specific heat and Tsallis entropy obtained by the two average methods are compared. Validity ranges of the - and normal averages are and , respectively, where , and for ideal gases (harmonic oscillators). The energy and specific heat in the and normal averages coincide with those in the Boltzmann-Gibbs statistics, although this coincidence does not hold for the fluctuation of energy. The Tsallis entropy for obtained by the average is quite different from that derived by the normal average, despite a fairly good agreement of the two results for . It has been pointed out that first-principles approaches previously proposed in the superstatistics yield additive -body entropy which is in contrast with the nonadditive Tsallis entropy.
1 More- Received 21 June 2010
DOI:https://doi.org/10.1103/PhysRevE.82.031138
©2010 American Physical Society