A great variety of complex phenomena in many scientific fields exhibit power-law behavior, reflecting a hierarchical or fractal structure. Many of these phenomena seem to be susceptible to description using approaches drawn from thermodynamics or statistical mechanics, particularly approaches involving the maximization of entropy and of Boltzmann-Gibbs statistical mechanics and standard laws in a natural way. The book addresses the interdisciplinary applications of these ideas, and also on various phenomena that could possibly be quantitatively describable in terms of these ideas.
Preface,Murray Gell-Mann and Constantino Tsallis Nonextensive Statistical Mechanics: Construction and Physical Interpretation,Constantino Tsallis Generalized Nonadditive Information Theory and Qunatum Entanglement,Sumiyoshi Abe Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy,Alberto Robledo Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems,Marcelo L. Lyra Numberical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena,Fulvio Baldovin Nonextensive Effects in Hamiltonian Systems,Andrea Rapisarda and Vito Latora A Hamiltonian Approach for Tsallis Systems,J. S. de Andrade, Jr., M. P. Almeida, A. A. Moreira, A. B. Abid, and G. A. Farias Nonequilibrium Systems,Robin Stinchombe Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble,Hugo Touchette On the Role of Non-Gaussian Noises on Noise-Induced Phenomena,Horacio Wio A Dripping Fucet as a Nonextensive System,T. J. Penna, J. C. Sartorelli, R. D. Pinto, and W. M. Goncalves Power-Law Persistence in the Atmosphere: An Ideal Test Bed For Climate Models,Armin Bunde, Jan Eichner, Rathinaswamy Govindan, Shlomo Havlin, Eva Koscielny-Bunde, Diego Rybski, and lc"