Critical phenomena in natural sciences : chaos, fractals, selforganization, and disorder : concepts and tools
Author(s)
Bibliographic Information
Critical phenomena in natural sciences : chaos, fractals, selforganization, and disorder : concepts and tools
（Springer series in synergetics）
Springer, c2004
2nd ed
Available at / 18 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:530.4/SO682080001013
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Note
Includes bibliographical references and index
Description and Table of Contents
Description
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.
Table of Contents
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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