Nonextensive Entropy: Interdisciplinary Applications

Nonextensive Entropy: Interdisciplinary Applications

by Murray Gell-Mann (Editor)
Nonextensive Entropy: Interdisciplinary Applications

Nonextensive Entropy: Interdisciplinary Applications

by Murray Gell-Mann (Editor)

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Overview

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.

Product Details

ISBN-13: 9780195347852
Publisher: Oxford University Press
Publication date: 04/15/2004
Series: Santa Fe Institute Studies on the Sciences of Complexity
Sold by: Barnes & Noble
Format: eBook
File size: 5 MB

About the Author

Sante Fe Institute

Brazilian Center for Physics Research

Table of Contents

Preface, Murray Gell-Mann and Constantino TsallisNonextensive Statistical Mechanics: Construction and Physical Interpretation, Constantino TsallisGeneralized Nonadditive Information Theory and Qunatum Entanglement, Sumiyoshi AbeUnifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy, Alberto RobledoNonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems, Marcelo L. LyraNumberical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena, Fulvio BaldovinNonextensive Effects in Hamiltonian Systems, Andrea Rapisarda and Vito LatoraA Hamiltonian Approach for Tsallis Systems, J. S. de Andrade, Jr., M. P. Almeida, A. A. Moreira, A. B. Abid, and G. A. FariasNonequilibrium Systems, Robin StinchombeTemperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble, Hugo TouchetteOn the Role of Non-Gaussian Noises on Noise-Induced Phenomena, Horacio WioA Dripping Fucet as a Nonextensive System, T. J. Penna, J. C. Sartorelli, R. D. Pinto, and W. M. GoncalvesPower-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 Dmitry VjushinThe Living State of Matter: Between Noise and Homeorrhetic Constraints, Marcello Buiatti, Patrizia Bogani, Claudia Acquisti, Giuseppe Mersi, and Leone FronzoniPlant Spread Dynamics and Spatial Patterns in Forest Ecology, Sergio A. Cannas, Diana E. Marco, Sergio A. Paez, and Marcello A. MontemurroGeneralized Information Measures and the Analysis of Brain Electric Signals, A. Plastino, M. T. Martin, and O. RossoNonextensive Diffusion Entropy Analysis and Teen Birth Phenomena, N. Scafetta, P. Grigolini, P. Hamilton, and B. J. WestThe Pricing of Stock Options, Lisa BorlandDistributions of High-Frequency Stock-Market Observables, Robert Osorio, Lisa Borland, and Constantino TsallisEntropic Subextensivity in Language and Learning, Lukasz DebowskiA generalization of the Zipf-Mandelbrot Law in Linguistics, Marcelo A. MontemurroCoarse-Graining, Scaling and Hierarchies, Juan Perez-MercaderThe Architecture of Complex Systems, Vito Latora and Massimo MarchioriEffective Complexity, Murray Gell-Mann and Seth LloydIndex
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