Nonextensive Statistical Mechanics

Bibliography 351178. A. Campa, A. Giansanti, D. Moroni and C. Tsallis, Classical spin systems with long-rangeinteractions: Universal reduction of mixing,Phys.Lett.A286, 251 (2001).179. M.C. Firpo, Analytic estimation of the Lyapunov exponent in a mean-field model undergoinga phase transition, Phys. Rev. E 57, 6599 (1998).180. M.-C. Firpo and S. Ruffo, Chaos suppression in the large size limit for long-range systems,J. Phys. A 34, L511–L518 (2001).181. C. Anteneodo and R.O. Vallejos, On the scaling laws for the largest Lyapunov exponent inlong-range systems: A random matrix approach, Phys. Rev. E 65, 016210 (2002).182. L. Nivanen, A. Le Mehaute and Q.A. Wang, Generalized algebra within a nonextensivestatistics, Rep. Math. Phys. 52, 437 (2003).183. E.P. Borges, A possible deformed algebra and calculus inspired in nonextensive thermostatistics,Physica A 340, 95 (2004).184. H. Suyari and M. Tsukada, Law of error in Tsallis statistics, IEEE Trans. Inform. Theory 51,753 (2005).185. H. Suyari, Mathematical structures derived from the q-multinomial coefficient in Tsallisstatistics, Physica A 386, 63 (2006).186. E.P. Borges and I. Roditi, A family of non-extensive entropies,Phys.Lett.A246, 399 (1998).187. V. Schwammle and C. Tsallis, Two-parameter generalization of the logarithm and exponentialfunctions and Boltzmann-Gibbs-Shannon entropy, J. Math. Phys. 48, 113301 (2007).188. M. Masi, A step beyond Tsallis and Renyi entropies, Phys. Lett. A 338, 217 (2005).189. F. Shafee, Lambert function and a new non-extensive form of entropy, IMA J. Appl. Math.72, 785 (2007).190. C. Tsallis, Nonextensive statistical mechanics: Construction and physical interpretation, inNonextensive Entropy – Interdisciplinary Applications, eds. M. Gell-Mann and C. Tsallis(Oxford University Press, New York, 2004), pages 1.191. C. Tsallis, Nonextensive statistical mechanics, anomalous diffusion and central limit theorems,Milan J. Math. 73, 145 (2005).192. V. Schwammle, E.M.F. Curado and F.D. Nobre, A general nonlinear Fokker-Planck equationand its associated entropy, Eur. Phys. J. B 58, 159 (2007).193. V. Schwammle, F.D. Nobre and E.M.F. Curado, Consequences of the H-theorem from nonlinearFokker-Planck equations, Phys. Rev. E 76, 041123 (2007).194. P.-H. Chavanis, Nonlinear mean field Fokker-Planck equations. Application to the chemotaxisof biological population, Eur. Phys. J. B 62, 179 (2008).195. R.S. Zola, M.K. Lenzi, L.R. Evangelista, E.K. Lenzi, L.S. Lucena and L.R. Silva, Exactsolutions for a diffusion equation with a nonlinear external force, Phys.Lett.A372, 2359(2008).196. S.M.D. Queiros, On superstatistical multiplicative-noise processes, Braz. J. Phys. 38, 203(2008).197. Y. Sato and C. Tsallis, On the extensivity of the entropy S q for N ≤ 3 specially correlatedbinary subsystems, Proceedings of the Summer School and Conference on Complexity inScience and Society (Patras and Ancient Olympia, 14 July 2004), Complexity: An unifyingdirection in science, eds. T. Bountis, G. Casati and I. Procaccia, Int. J. Bifurcat. Chaos 16,1727 (2006).198. C. Tsallis, Is the entropy S q extensive or nonextensive?, inComplexity, Metastability andNonextensivity, eds. C. Beck, G. Benedek, A. Rapisarda and C. Tsallis (World Scientific,Singapore, 2005), page 13.199. C. Tsallis, M. Gell-Mann and Y. Sato, Asymptotically scale-invariant occupancy of phasespace makes the entropy S q extensive, Proc. Natl. Acad. Sc. USA 102, 15377 (2005).200. C. Tsallis, M. Gell-Mann and Y. Sato, Extensivity and entropy production, inNonextensiveStatistical Mechanics: New Trends, New perspectives, eds. J.P. Boon and C. Tsallis, Europhys.News 36, 186 (2005).201. F. Caruso and C. Tsallis, Extensive nonadditive entropy in quantum spin chains,inComplexity,Metastability and Nonextensivity, eds. S. Abe, H.J. Herrmann, P. Quarati, A. Rapisarda