Murray Gell-Mann, Constantino Tsallis, eds.
Nonextensive Entropy: interdisciplinary application.
OUP. 2004
A great variety of complex phenomena in many scientific fields
exhibit power-law behavior, reflecting a hierarchical or multifractal fractal structure.
Many of these phenomena seem to be susceptible to description and understanding
using approaches drawn from thermodynamics or statistical mechanics,
particularly approaches involving the maximization of entropy.
During recent years, a good deal of study has been devoted to
a nonextensive generalization of entropy and of Boltzmann-Gibbs statistical mechanics and standard thermodynamics.
That generalization has intrinsically nonlinear features and yields power laws in a natural way.
Nonextensive Entropy addresses the interdisciplinary applications of these ideas,
and also on various phenomena that could possibly be quantitatively describable in terms of these ideas.
Contents
- • Constantino Tsallis. Nonextensive statistical mechanics: construction and physical interpretation. 2004
- • Sumiyoshi Abe. Generalized nonadditive information theory and quantum entanglement. 2004
- • Alberto Robledo. Unifying laws in multidisciplinary power-law phenomena: fixed-point universality and nonextensive entropy. 2004
- • Marcelo L. Lyra. Nonextensive entropies and sensitivity to initial conditions of complex systems. 2004
- • Fulvio Baldovin. Numerical analysis of conservative maps: a possible foundation of nonextensive phenomena. 2004
- • Andrea Rapisada, Vito Latora. Nonextensive effects in Hamiltonian systems. 2004
- • Jose Soares de Andrade Jr, Murilo P. Almeida, Andre A. Moreira, Arthur B. Adib, Gil A. Farias. A Hamiltonian approach to Tsallis thermostatics. 2004
- • Robin Sinchombe. Nonequilibrium systems. 2004
- • Hugo Touchette. Temperature fluctuations and mixtures of equilibrium states in the canonical ensemble. 2004
- • Horacio Wio. On the role of non-Gaussian noise on noise-induced phenomena. 2004
- • Thadeu J. P. Penna, J. C. Sartorelli, R. D. Pinto, W. M. Goncalves. A dripping faucet as a nonextensive system. 2004
- • Armin Bunde, Jan Eichner, Rathinaswamy Govindan, Shlomo Havlin, Eva Koscielny-Bunde, Diego Rybski, Dmitry Vjushin. Power-law persistence in the atmosphere: an ideal test bed for climate models. 2004
- • Marcello Buiatti, Patrizia Bogani, Claudia Acquisti, Giuseppi Mersi, Leone Fronzoni. The living state of matter: between noise and homeorrhetic constraints. 2004
- • Sergio A. Cannas, Diana E. Marco, Sergio A. Paez, Marcelo A. Montemurro. Plant spread dynamics and spatial patterns in forest ecology. 2004
- • Angel Plastino, M. T. Martin, O. Rosso. Generalized information measures and the analysis of brain electrical signals. 2004
- • N. Scafetta, P. Grigolini, P. Hamilton, Bruce J. West. Nonextensive diffusion entropy analysis and teen birth phenomena. 2004
- • Lisa Borland. The pricing of stock options. 2004
- • Roberto Osorio, Lisa Borland, Constantino Tsallis. Distributions in high-frequency stock-market observables. 2004
- • Lukasz Debowski. Entropic subexstensivity in language and learning. 2004
- • Marcelo A. Montemurro. A generalization of the Zipf-Mandelbrot law in liguistics. 2004
- • Juan Pérez-Mercader. Coarse-graining, scaling, and hierarchies. 2004
- • Vito Latora, Massimo Marchiori. The architecture of complex systems. 2004
- • Murray Gell-Mann, Seth Lloyd. Effective complexity. 2004