Nonextensive Entropy Interdisciplinary Applications

by Gell-Mann, Murray; Tsallis, Constantino

• ISBN13: 9780195159776
• ISBN10: 0195159772
• Format: Paperback
• Copyright: 2004-04-15
• Publisher: Oxford University Press

Summary

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 approachesinvolving 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 theseideas.

Table of Contents

Preface	xiii
Murray Gell-Mann
Constantino Tsallis
Nonextensive Statistical Mechanics: Construction and Physical Interpretation	1	(54)
Constantino Tsallis
Generalized Nonadditive Information Theory and Quantum Entanglement	55	(8)
Sumiyoshi Abe
Unifying Laws in Multidisciplinary Power-Law Phenomena: Fixed-Point Universality and Nonextensive Entropy	63	(16)
Alberto Robledo
Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems	79	(20)
Marcelo L. Lyra
Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena	99	(14)
Fulvio Baldovin
Nonextensive Effects in Hamiltonian Systems	113	(10)
Andrea Rapisarda
Vito Latora
A Hamiltonian Approach for Tsallis Thermostatistics	123	(16)
J. S. de Andrade, Jr.
M. P. Almeida
A. A. Moreira
A. B. Adib
G. A. Farias
Nonequilibrium Systems	139	(20)
Robin Stinchombe
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble	159	(18)
Hugo Touchette
On the Role of Non-Gaussian Noises on Noise-Induced Phenomena	177	(18)
Horacio Wio
A Dripping Faucet as a Nonextensive System	195	(12)
T. J. P. Penna
J. C. Sartorelli
R. D. Pinto
W. M. Goncalves
Power-Law Persistence in the Atmosphere: An Ideal Test Bed for Climate Models	207	(14)
Armin Bunde
Jan Eichner
Rathinaswamy Govindan
Shlomo Havlin
Eva Koscielny-Bunde
Diego Rybski
Dmitry Vjushin
The Living State of Matter: Between Noise and Homeorrhetic Constraints	221	(22)
Marcello Buiatti
Patrizia Bogani
Claudia Acquisti
Giuseppe Mersi
Leone Fronzoni
Plant Spread Dynamics and Spatial Patterns in Forest Ecology	243	(18)
Sergio A. Cannas
Diana E. Marco
Sergio A. Paez
Marcelo A. Montemurro
Generalized Information Measures and the Analysis of Brain Electrical Signals	261	(34)
A. Plastino
M. T. Martin
O. Rosso
Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena	295	(10)
N. Scafetta
P. Grigolini
P. Hamilton
B. J. West
The Pricing of Stock Options	305	(16)
Lisa Borland
Distributions of High-Frequency Stock-Market Observables	321	(14)
Roberto Osorio
Lisa Borland
Constantino Tsallis
Entropic Subextensivity in Language and Learning	335	(12)
Lukasz Debowski
A Generalization of the Zipf-Mandelbrot Law in Linguistics	347	(10)
Marcelo A. Montemurro
Coarse-Graining, Scaling, and Hierarchies	357	(20)
Juan Perez-Mercader
The Architecture of Complex Systems	377	(10)
Vito Latora
Massimo Marchiori
Effective Complexity	387	(12)
Murray Gell-Mann
Seth Lloyd
Index	399