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Nonextensive Entropy : Interdisciplinary Applications.

By: Contributor(s): Material type: TextTextSeries: Santa Fe Institute Studies on the Sciences of Complexity SeriesPublisher: Oxford : Oxford University Press, Incorporated, 2004Copyright date: ©2004Edition: 1st edDescription: 1 online resource (439 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780198036210
Subject(s): Genre/Form: Additional physical formats: Print version:: Nonextensive EntropyDDC classification:
  • 530.13
LOC classification:
  • QC174.8.N664 2004
Online resources:
Contents:
Intro -- Contents -- Preface -- Nonextensive Statistical Mechanics: Construction and Physical Interpretation -- Generalized Nonadditive Information Theory and Quantum Entanglement -- Unifying Laws in Multidisciplinary Power-Law Phenomena: FixedPoint Universality and Nonextensive Entropy -- Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems -- Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena -- Nonextensive Effects in Hamiltonian Systems -- A Hamiltonian Approach for Tsallis Thermostatistics -- Nonequilibrium Systems -- Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble -- On the Role of Non-Gaussian Noises on Noise-Induced Phenomena -- A Dripping Faucet as a Nonextensive System -- Power-Law Persistence in the Atmosphere: An Ideal Test Bed for Climate Models -- The Living State of Matter: Between Noise and Homeorrhetic Constraints -- Plant Spread Dynamics and Spatial Patterns in Forest Ecology -- Generalized Information Measures and the Analysis of Brain Electrical Signals -- Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena -- The Pricing of Stock Options -- Distributions of High-Frequency Stock-Market Observables -- Entropic Subextensivity in Language and Learning -- A Generalization of the Zipf-Mandelbrot Law in Linguistics -- Coarse-Graining, Scaling, and Hierarchies -- The Architecture of Complex Systems -- Effective Complexity -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.
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 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.
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Intro -- Contents -- Preface -- Nonextensive Statistical Mechanics: Construction and Physical Interpretation -- Generalized Nonadditive Information Theory and Quantum Entanglement -- Unifying Laws in Multidisciplinary Power-Law Phenomena: FixedPoint Universality and Nonextensive Entropy -- Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems -- Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena -- Nonextensive Effects in Hamiltonian Systems -- A Hamiltonian Approach for Tsallis Thermostatistics -- Nonequilibrium Systems -- Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble -- On the Role of Non-Gaussian Noises on Noise-Induced Phenomena -- A Dripping Faucet as a Nonextensive System -- Power-Law Persistence in the Atmosphere: An Ideal Test Bed for Climate Models -- The Living State of Matter: Between Noise and Homeorrhetic Constraints -- Plant Spread Dynamics and Spatial Patterns in Forest Ecology -- Generalized Information Measures and the Analysis of Brain Electrical Signals -- Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena -- The Pricing of Stock Options -- Distributions of High-Frequency Stock-Market Observables -- Entropic Subextensivity in Language and Learning -- A Generalization of the Zipf-Mandelbrot Law in Linguistics -- Coarse-Graining, Scaling, and Hierarchies -- The Architecture of Complex Systems -- Effective Complexity -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.

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.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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