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Nonextensive Statistical Mechanics

Nonextensive Statistical Mechanics

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Bibliography1. J.W. Gibbs, Elementary Principles in <strong>Statistical</strong> <strong>Mechanics</strong> – Developed with Especial Referenceto the Rational Foundation of Thermodynamics (C. Scribner’s Sons, New York,1902; Yale University Press, New Haven, 1948; OX Bow Press, Woodbridge, Connecticut,1981).2. G. Nicolis and D. Daems, Probabilistic and thermodynamics aspects of dynamical systems,Chaos 8, 311 (1998).3. M. Tribus and E.C. McIrvine, Energy and information,Sci.Am.224, 178 (September 1971);M. Martin and J. England, Mathematical theory of Entropy (Addison-Wesley, 1981).4. O. Penrose, Foundations of <strong>Statistical</strong> <strong>Mechanics</strong>: A Deductive Treatment (Pergamon,Oxford, 1970), page 167.5. L. Boltzmann, Weitere Studien ˙uber das Wȧrmegleichgewicht unter Gas molek˙ulen [FurtherStudies on Thermal Equilibrium Between Gas Molecules], Wien, Ber. 66, 275 (1872).6. L. Boltzmann, Uber die Beziehung eines allgemeine mechanischen Satzes zum zweiten Haupsatzeder Warmetheorie, Sitzungsberichte, K. Akademie der Wissenschaften in Wien, Math.-Naturwissenschaften 75, 67 (1877); English translation (On the Relation of a General MechanicalTheorem to the Second Law of Thermodynamics) in S. Brush, Kinetic Theory, Vol.2: Irreversible Processes, 188 (Pergamon Press, Oxford, 1966).7. J.C. Maxwell, Philos. Mag. (Ser. 4) 19, 19 (1860).8. G. Casati and T. Prosen, Mixing property of triangular billiards, Phys. Rev. Lett. 83, 4729(1999)9. G. Casati and T. Prosen, Triangle map: A model of quantum chaos, Phys. Rev. Lett. 85, 4261(2000).10. M. Horvat, M.D. Esposti, S. Isola, T. Prosen and L. Bunimovich, On ergodic and mixingproperties of the triangle map, 0802.4211 [nlin.CD] (2008).11. Aristotle, Poetics (350 BCE).12. M. Gell-Mann, The Quark and the Jaguar (W.H. Freeman, New York, 1994).13. For a regularly updated bibliography of the subject see http://tsallis.cat.cbpf.br/biblio.htm14. L.O. Chua, Local activity is the origin of complexity, Int. J. Bifurcat. Chaos 15, 3435 (2005).15. P. Bak, How Nature Works: The Science of Self-Organized Criticality (Springer-Verlag,New York, 1996).16. H.J. Jeldtoft, Self-Organized Criticality : Emergent Complex Behavior in Physical and BiologicalSystems, Lecture Notes in Physics (Cambridge University Press, Cambridge, 1998).17. D. Sornette, Critical Phenomena in Natural Sciences : Chaos, Fractals, Selforganization andDisorder, Series in Synergetics (Springer-Verlag, New York, 2001).18. F. Mallamace and H.E. Stanley, eds., The Physics of Complex Systems, Volume155 International School of Physics Enrico Fermi (Italian Physical Society, 2004),page 640.19. L. Boltzmann, Vorlesungen uber Gastheorie (Leipzig, 1896) [Lectures on Gas Theory,transl.S. Brush (Univ. California Press, Berkeley, 1964), Part II, Chapter I, Paragraph 1, page 217.343

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