Fractals in Physics

1st Edition

Authors: L. Pietronero E. Tosatti
Hardcover ISBN: 9780444869951
eBook ISBN: 9780444598417
Imprint: North Holland
Published Date: 1st January 1986
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Description

The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of the critical properties of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Symposium was to provide an overview of the physical phenomena that manifest scale invariance and fractal properties with the aim of bringing out the common mathematical features. The emphasis was on theoretical and experimental work related to well defined physical phenomena.

Table of Contents

(summary of): Preface. I. General properties of fractals. II. Analysis of fractal properties of materials. III. Polymer statistics and self-avoiding-walks. IV. Branched polymers, gelation and percolation. V. (A) Irreversible growth models: Laplacian fractals, dielectric breakdown, fracture propagation and viscous fingers in liquids. V. (B) Irreversible growth models: diffusion-limited aggregation, dendritic growth, Eden model and cluster-cluster aggregation. VI. Kinetics of clustering. VII. Dynamical properties of fractal structures. VIII. Hierarchical and fractal features of disordered systems. IX. Chaos, turbulence and related topics.

Details

Language:
English
Copyright:
© North Holland 1986
Published:
Imprint:
North Holland
eBook ISBN:
9780444598417
Hardcover ISBN:
9780444869951

About the Author

L. Pietronero

Affiliations and Expertise

Italian Commission for Nuclear and Alternative Energy Sources (ENEA), Rome, Italy

E. Tosatti