Specific heat in the nonextensive statistics: effective temperature and Lagrange parameter  β

We analyse the specific heat and the fluctuation–dissipation theorem by considering the effective temperature, T eff≡(Tr ρ q q )/ β, in the Tsallis statistics. In particular, the results show that the specific heat is nonnegative for q∉[0,1). We also investigate how to obtain a family of entropies e...

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Bibliographic Details
Published in:Physics letters. A 2002-01, Vol.292 (6), p.315-319
Main Authors: Lenzi, E.K., Lenzi, M.K., Belich, H., Lucena, L.S.
Format: Article
Language:English
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Summary:We analyse the specific heat and the fluctuation–dissipation theorem by considering the effective temperature, T eff≡(Tr ρ q q )/ β, in the Tsallis statistics. In particular, the results show that the specific heat is nonnegative for q∉[0,1). We also investigate how to obtain a family of entropies employing the condition C q =− β 2( ∂U q / ∂β)⩾0 for q>0, S q = S q (Tr ρ q q ) and the normalized constraints.
ISSN:0375-9601
1873-2429
DOI:10.1016/S0375-9601(01)00812-X