Critical phenomena in natural sciences : chaos, fractals, selforganization and disorder : concepts and tools
著者
書誌事項
Critical phenomena in natural sciences : chaos, fractals, selforganization and disorder : concepts and tools
（Springer series in synergetics）（Springer complexity）
Springer, c2006
2nd ed
- : pbk
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注記
Includes bibliographical references (p. [477]-523) and index
"2nd printing of the hardcover edition with ISBN 3540407545"--T.p. verso
内容説明・目次
内容説明
Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics.
目次
Useful Notions of Probability Theory.- Sums of Random Variables, Random Walks and the Central Limit Theorem.- Large Deviations.- Power Law Distributions.- Fractals and Multifractals.- Rank-Ordering Statistics and Heavy Tails.- Statistical Mechanics: Probabilistic Point of View and the Concept of "Temperature".- Long-Range Correlations.- Phase Transitions: Critical Phenomena and First-Order Transitions.- Transitions, Bifurcations and Precursors.- The Renormalization Group.- The Percolation Model.- Rupture Models.- Mechanisms for Power Laws.- Self-Organized Criticality.- to the Physics of Random Systems.- Randomness and Long-Range Laplacian Interactions.
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