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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.
This volume investigates the applicability of nonextensive entropy frameworks to complex phenomena that exhibit power-law behavior across diverse scientific disciplines. Murray Gell-Mann, a Nobel laureate in physics, curates a collection of research that explores how systems traditionally analyzed through Boltzmann-Gibbs statistical mechanics might be better understood using generalized entropy approaches. The text argues that hierarchical or fractal structures in nature often necessitate a departure from standard thermodynamic models to achieve accurate quantitative descriptions.
What You Will Find
Experts recognize this volume as a significant contribution to the Santa Fe Institute's ongoing research into complexity science. Readers frequently note the high level of technical rigor required to engage with the mathematical models presented throughout the text.
Page Count:
444
Publication Date:
2004-01-01
Publisher:
Oxford University Press
ISBN-10:
0198036213
ISBN-13:
9780198036210
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