Chung, Won Sang; Hassanabadi, Hassan Statistical physics when the heat bath is large but finite. (English) Zbl 07570901 Physica A 532, Article ID 121720, 8 p. (2019). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Plastino, A.; Rocca, M. C.; Ferri, G. L. Dimensional regularization of Renyi’s statistical mechanics. (English) Zbl 1514.82020 Physica A 505, 794-804 (2018). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zamora, J. D.; Rocca, M. C.; Plastino, A.; Ferri, G. L. Dimensionally regularized Tsallis’ statistical mechanics and two-body Newton’s gravitation. (English) Zbl 1514.82027 Physica A 497, 310-318 (2018). MSC: 82B05 70F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Plastino, A.; Rocca, M. C. Hidden correlations entailed by \(q\)-non additivity render the \(q\)-monoatomic gas highly non trivial. (English) Zbl 1514.82197 Physica A 490, 50-58 (2018). MSC: 82D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Plastino, A.; Rocca, M. C. Analysis of Tsallis’ classical partition function’s poles. (English) Zbl 1502.82002 Physica A 487, 196-204 (2017). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Korbel, Jan Rescaling the nonadditivity parameter in Tsallis thermostatistics. (English) Zbl 1375.05029 Phys. Lett., A 381, No. 32, 2588-2592 (2017). MSC: 05A30 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruseckas, Julius Canonical ensemble in non-extensive statistical mechanics, \(q > 1\). (English) Zbl 1400.82018 Physica A 458, 210-218 (2016). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: DOI
Ruseckas, Julius Canonical ensemble in non-extensive statistical mechanics. (English) Zbl 1400.82017 Physica A 447, 85-99 (2016). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsallis, Constantino The nonadditive entropy \(S_q\) and its applications in physics and elsewhere: some remarks. (English) Zbl 1301.82004 Entropy 13, No. 10, 1765-1804 (2011). MSC: 82B03 62B10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI
Plastino, A.; Rocca, M. C. A direct proof of Jauregui-Tsallis’ conjecture. (English) Zbl 1272.46031 J. Math. Phys. 52, No. 10, 103503, 7 p. (2011). MSC: 46F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chevreuil, A.; Plastino, A.; Vignat, C. On a conjecture about Dirac’s delta representation using \(q\)-exponentials. (English) Zbl 1309.46021 J. Math. Phys. 51, No. 9, 093502, 5 p. (2010). MSC: 46F05 82B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naudts, Jan; Baeten, Maarten Non-extensivity of the configurational density distribution in the classical microcanonical ensemble. (English) Zbl 1179.82013 Entropy 11, No. 2, 285-294 (2009). MSC: 82B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vignat, C.; Plastino, A. Scale invariance and related properties of \(q\)-Gaussian systems. (English) Zbl 1203.82005 Phys. Lett., A 365, No. 5-6, 370-375 (2007). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masi, Marco On the \(q\)-parameter spectrum of generalized information-entropy measures with no cut-off prescriptions. (English) Zbl 1236.82004 Phys. Lett., A 357, No. 4-5, 288-294 (2006). MSC: 82B03 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parvan, A. S. Extensive statistical mechanics based on nonadditive entropy: canonical ensemble. (English) Zbl 1236.82007 Phys. Lett., A 360, No. 1, 26-34 (2006). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ferri, G. L.; Martínez, S.; Plastino, A. Equivalence of the four versions of Tsallis’s statistics. (English) Zbl 1456.82002 J. Stat. Mech. Theory Exp. 2005, No. 4, Paper No. P04009, 14 p. (2005). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pennini, F.; Plastino, A. Escort Husimi distributions, Fisher information and nonextensivity. (English) Zbl 1161.82300 Phys. Lett., A 326, No. 1-2, 20-26 (2004). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wada, Tatsuaki Model-free derivations of the Tsallis factor: constant heat capacity derivation. (English) Zbl 1098.82592 Phys. Lett., A 318, No. 6, 491-498 (2003). MSC: 82B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almeida, M. P. Thermodynamical entropy (and its additivity) within generalized thermodynamics. (English) Zbl 1028.82508 Physica A 325, No. 3-4, 426-438 (2003). MSC: 82B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adib, Artur B.; Moreira, André A.; Andrade, José S. jun.; Almeida, Murilo P. Tsallis thermostatistics for finite systems: a Hamiltonian approach. (English) Zbl 1038.82048 Physica A 322, No. 1-4, 276-284 (2003). MSC: 82C03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Potiguar, F. Q.; Costa, U. M. S. Fluctuation of energy in the generalized thermostatistics. (English) Zbl 1011.82011 Physica A 321, No. 3-4, 482-492 (2003). MSC: 82B30 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Velázquez Abad, Luisberis; Guzmán, F. Remarks about the Tsallis formalism. (English) Zbl 1244.82008 Phys. Rev. E (3) 65, No. 4, Article ID 046134, 5 p. (2002). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naudts, Jan Dual description of nonextensive ensembles. (English) Zbl 1010.81098 Chaos Solitons Fractals 13, No. 3, 445-450 (2002). MSC: 81V80 82B30 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Potiguar, F. Q.; Costa, U. M. S. Transport theory in the context of the normalized generalized statistics. (English) Zbl 0979.82053 Physica A 303, No. 3-4, 457-468 (2002). MSC: 82C70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Almeida, M. P. Generalized entropies from first principles. (English) Zbl 0979.82032 Physica A 300, No. 3-4, 424-432 (2001). MSC: 82B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abe, S.; Martínez, S.; Pennini, F.; Plastino, A. Classical gas in nonextensive optimal Lagrange multipliers formalism. (English) Zbl 0972.82042 Phys. Lett., A 278, No. 5, 249-254 (2001). MSC: 82B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abe, Sumiyoshi; Rajagopal, A. K. Nonuniqueness of canonical ensemble theory arising from microcanonical basis. (English) Zbl 1115.82303 Phys. Lett., A 272, No. 5-6, 341-345 (2000). MSC: 82B03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naudts, Jan Rigorous results in non-extensive thermodynamics. (English) Zbl 1016.82006 Rev. Math. Phys. 12, No. 10, 1305-1324 (2000). MSC: 82B10 82B30 47N55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramshaw, John D. Entropy ambiguity in a system in equilibrium with a finite heat bath. (English) Zbl 1020.82574 Phys. Lett., A 198, No. 2, 122-125 (1995). MSC: 82B30 94A17 × Cite Format Result Cite Review PDF Full Text: DOI