Fractal growth phenomena

Fractal growth phenomena

by Vicsek, Tamás

Type Book
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Title Statements

  • Full title :Fractal growth phenomena / Tamás Vicsek.

Edition Statements

  • Publication Date:©1992.
  • Edition:2nd ed

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:©1992.

The Physical Object

  • Description:xix, 488 pages, 18 pages of plates : : illustrations (some color) ; : 26 cm

Edition Identifiers

  • ISBN:9810206682, 9789810206680, 9810206690, 9789810206697, 9810206178, 9789810206178
  • oclc:ocm25834255
  • LC Classification:QA614.86
  • Dewey Decimal:514/.74

Table of Contents

Pt. I Fractals -- 2.Fractal Geometry -- 2.1.Fractals as mathematical and physical objects -- 2.2.Definitions -- 2.3.Types of fractals -- 3.Fractal Measures -- 3.1.Multifractality -- 3.2.Relations among the exponents -- 3.3.Fractal measures constructed by recursion -- 3.4.Geometrical multifractality -- 4.Methods for Determining Fractal Dimensions -- 4.1.Measuring fractal dimensions in experiments -- 4.2.Evaluation of numerical data -- 4.3.Renormalization group -- Pt. II Cluster Growth Models -- 5.Local Growth Models -- 5.1.Spreading percolation -- 5.2.Invasion percolation -- 5.3.Kinetic gelation -- 5.4.Random walks -- 6.Diffusion-limited Growth -- 6.1.Diffusion-limited aggregation (DLA) -- 6.2.Diffusion-limited deposition -- 6.3.Dielectric breakdown model -- 6.4.Other non-local particle-cluster growth models -- 7.Growing Self-affine Surfaces -- 7.1.Eden model -- 7.2.Ballistic aggregation -- 7.3.Ballistic deposition -- 7.4.Theoretical results -- 8.Cluster-cluster Aggregation (CCA) -- 8.1.Structure -- 8.2.Dynamic scaling for the cluster size distribution -- 8.3.Experiments -- III.Fractal Pattern Formation -- 9.Computer Simulations -- 9.1.Equations -- 9.2.Models related to diffusion-l…

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