Borges, Ernesto P.; Roditi, Itzhak A family of nonextensive entropies. (English) Zbl 0940.82008 Phys. Lett., A 246, No. 5, 399-402 (1998). Summary: A generalized nonextensive two-parameter entropy is developed, along lines which unify current nonextensive frameworks. It recovers, as particular cases, the Tsallis and symmetric entropies, as well as the Boltzmann-Gibbs entropy. The properties of the new \((q,q'\))-entropy are analysed. Cited in 25 Documents MSC: 82B05 Classical equilibrium statistical mechanics (general) 82B03 Foundations of equilibrium statistical mechanics Keywords:generalized nonextensive two-parameter entropy; \((q,q')\)-entropy PDFBibTeX XMLCite \textit{E. P. Borges} and \textit{I. Roditi}, Phys. Lett., A 246, No. 5, 399--402 (1998; Zbl 0940.82008) Full Text: DOI References: [1] Tsallis, C., Chaos, Solitons and Fractals, 6, 539 (1995) [2] Tsallis, C., J. Stat. Phys., 52, 479 (1988) [3] Zanette, D. H.; Alemany, P. A., Phys. Rev. Lett., 77, 2590 (1996) [4] Hamity, V. H.; Barraco, D. E., Phys. Rev. Lett., 76, 4664 (1993) [5] Lavagno, A.; Kaniadakis, G.; Rego-Monteiro, M.; Quarati, P.; Tsallis, C., Astro. Lett. Commun., 35, 449 (1998) [6] Anteneodo, C.; Tsallis, C., J. Mol. Liq., 71, 255 (1997) [7] Kaniadakis, G.; Lavagno, A.; Quarati, P., Phys. Lett. B, 369, 308 (1996) [8] Rajagopal, A. K., Phys. Rev. Lett., 76, 3469 (1996) [9] Lenzi, E. K.; Malacarne, L. C.; Mendes, R. S., Phys. Rev. Lett., 80, 218 (1998) [10] Rajagopal, A. K.; Mendes, R. S.; Lenzi, E. K., Phys. Rev. Lett., 80, 3907 (1998) [11] Koponen, I., Phys. Rev. B, 55, 7759 (1997) [12] Lyra, M. L.; Tsallis, C., Phys. Rev. Lett., 80, 53 (1998) [14] Rényi, A., Probability theory (1970), North-Holland: North-Holland Amsterdam · Zbl 0206.18002 [15] Abe, S., Phys. Lett. A, 224, 326 (1997) [16] Jackson, F. H., Quart. J. Pure Appl. Math., 41, 193 (1910) [17] Gómez, C.; Ruiz-Altaba, M.; Sierra, G., Quantum groups in two-dimensional physics (1996), Cambridge · Zbl 0885.17011 [18] Chakrabarti, R.; Jagannathan, R., J. Phys. A, L711 (1991) · Zbl 0735.17026 [19] McAnally, D. S., J. Math. Phys., 36, 546 (1995) [20] Curado, E. M.F; Tsallis, C., J. Phys. A, 25, E, 1019 (1992) · Zbl 0904.90019 [21] Tsallis, C., Phys. Lett. A, 195, 329 (1994) [22] Mariz, A. M., Phys. Lett. A, 165, 409 (1992) [23] Ramshaw, J. D., Phys. Lett. A, 175, 169 (1993) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.