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4
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0000837543
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There are some systems with long-range interactions, whose energy and free energy are not proportional to N while the entropy is proportional to N, and which are well described by the BGS (see, for example, S.A. Cannas, A.C.N. Magalhães, F.A. Tamarit, Phys. Rev. B 61 (2000) 11521).
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5
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16444383454
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Lists of many applications of the nonextensive statistics are available at URL: http://tsallis.cat.cbpf.br/biblio.htm
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7
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9
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16444382099
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Note
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The specific heat in microcanonical ensembles of BGS may be not always positive (e.g. Ref. [6]).
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A. Lavagno, G. Kaniadakis, M. Rego-Monteiro, P. Quarati, and C. Tsallis Astrophys. Lett. Commun. 35 1998 449
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A. Taruya, and M. Sakagami Physica A 322 2003 285; A. Taruya, and M. Sakagami Phys. Rev. Lett. 90 2003 181101 In the latter paper, it is shown that when Tsallis' old formalism is employed (Ref. [1]), the q - n relation is given by n = 1 / (q - 1) + (3 / 2) leading to q = 1.05 - 1.66 for n = 3 -20, where n is the polytrope index.
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16444386206
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note
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If the half-filled electron occupancy is satisfied for both d ε and d γ subbands, the number of eigenvalues for the CE of the N-site Hubbard model with the orbital degeneracy becomes C ND ε 2 ND ε C ND γ 2 ND γ where D ε = 2 and D γ = 3 for 3d transition metals.
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39
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16444364832
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M.S. Reis, J.P. Araújo, V.S. Amaral, E.K. Lenzi, I.S. Oliveira, e-print, cond-mat/0207245
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