Nonextensive Entropy: Interdisciplinary ApplicationsMurray Gell-Mann, Constantino Tsallis Oxford University Press, 15/04/2004 - 440 من الصفحات 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. |
المحتوى
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Generalized Nonadditive Information Theory and Quantum Entanglement | 55 |
FixedPoint Universality and Nonextensive Entropy | 63 |
Nonextensive Entropies and Sensitivity to Initial Conditions of Complex Systems | 79 |
A Possible Foundation of Nonextensive Phenomena | 99 |
Nonextensive Effects in Hamiltonian Systems | 113 |
A Hamiltonlan Approach for Tsallis Thermostatistics | 123 |
Nonequilibrium Systems | 139 |
Plant Spread Dynamics and Spatial Patterns in Forest Ecology | 243 |
Generalized Information Measures and the Analysis of Brain Electrical Signals | 261 |
Nonextensive Diffusion Entropy Analysis and Teen Birth Phenomena | 295 |
The Pricing of Stock Options | 305 |
Distributions of HighFrequency Stock Market Observables | 321 |
Entropic Subextensivity in Language and Learning | 335 |
A Generalization of the ZipfMandelbrot Law in Linguistics | 347 |
CoarseGraining Scaling and Hierarchies | 357 |
Temperature Fluctuations and Mixtures of Equilibrium States in the Canonical Ensemble | 159 |
On the Role of NonGaussian Noises on NoiseInduced Phenomena | 177 |
A Dripping Faucet as a Nonextensive System | 195 |
Analysis and Applications | 207 |
Between Noise and Homeorrhetic Constraints | 221 |
The Architecture of Complex Systems | 377 |
Effective Complexity | 387 |
399 | |
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عبارات ومصطلحات مألوفة
analysis Applications approach associated average behavior cell changes chaos chaotic characterized complexity connection consider constant correlation corresponding critical defined density depends described diffusion discussed distribution dynamics effective energy ensemble entropy equal equation equilibrium evolution example exponent exponential fact figure finite fixed fluctuations fractal frequency function Gaussian given Hamiltonian important increase initial conditions interactions Italy length Lett limit long-range mean measure method nature networks noise Nonextensive nonlinear normalized observed obtained parameters particles phase space phenomena Phys physical possible power-law present Press probability properties random recently represents returns scaling seconds sensitivity sequences shown signal simple species standard statistical mechanics structure temperature theory Thermodynamics tion transition Tsallis University variables volume wavelet