Critical Phenomena in Natural Sciences

Chaos, fractals, selforganization and disorder - Concepts and tools

Didier Sornette - Collection Springer Series In Synergetics

556 pages, parution le 01/05/2006

Ajouter à une liste

Indisponible

Résumé

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. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.

Sommaire

Probability
Sums of Random Variables, Random Walks and the Central Limit Theorem
The Stable Laws: Gaussian and Levy Laws
Power Laws
Statistical Approach to Hypothesis Testing
Probabilistic Derivation of Statistical Mechanics: General Introduction of the Concept of "Temperature". The Multifractional Formalism and Improved Method to Correct for Finite Size Effects and Irregular Geometries
The Rank-Ordering Method for the Determination of Distribution Tails
Long-Range Correlations
Critical Phenomena
Transitions, Bifurcations and Precursors
The Renormalization Group
The Percolation Model
The Branching Model
Simple Rupture Models
Directed Percolation
From Chaos to Spatio-Temporal Chaos to Turbulence
Scale Invariance and Fractals
Simple Mechanisms to Generate Power Laws
SOC
Levy-Distributions from Random Distributions of Sources with Long-Range Interactions
Long-Range Forces due to Irregular Arrays of Sources at Boundaries
Anomalous Relaxation. And much more....

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Didier Sornette
Collection	Springer Series In Synergetics
Parution	01/05/2006
Nb. de pages	556
Format	15 x 23
Couverture	Broché
Poids	824g
Intérieur	Noir et Blanc
EAN13	9783540308829
ISBN13	978-3-5403-0882-9