TY  - BOOK
AU  - Vicsek,Tamás
TI  - Fractal growth phenomena
SN  - 9810206682
AV  - QA614.86 .V53 1999
PY  - 1992///]
CY  - Singapore, New Jersey
PB  - World Scientific
KW  - Fractals
N1  - Includes bibliographical references and indexes; Foreword	;  	Preface	;  	Preface to the First Edition	; 1	Introduction	; 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	;  	References	; 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	;  	References	; III	Fractal Pattern Formation	;  	9	Computer Simulations	;  	 	9.1	Equations	;  	 	9.2	Models related to diffusion-limited aggregation	;  	 	9.3	Generalizations of the dielectric breakdown model	;  	 	9.4	Boundary integral methods	;  	10	Experiments on Laplacian Growth	;  	 	10.1	Viscous fingering	;  	 	10.2	Crystallization	;  	 	10.3	Electrochemical deposition	;  	 	10.4	Other related experiments	;  	References	; IV	Recent Developments	;  	11	Cluster Models of Self-similar Growth	;  	 	11.1	Diffusion-limited aggregation	;  	 	11.2	Fracture	;  	 	11.3	Other models	;  	 	11.4	Theoretical approaches	;  	12	Dynamics of Self-affine Surfaces	;  	 	12.1	Dynamic scaling	;  	 	12.2	Aggregation models	;  	 	12.3	Continuum equation approach	;  	 	12.4	Phase transition	;  	 	12.5	Rare events dominated kinetic roughening	;  	 	12.6	Multiaffinity	;  	13	Experiments	;  	 	13.1	Self-similar growth	;  	 	13.2	Self-affine growth	;  	References	;  	App. A. Algorithm for generating diffusion-limited aggregates	;  	App. B. Construction of a simple Hele-Shaw cell	;  	App. C. Basic concepts underlying multifractal measures	;  	Author Index	;  	Subject Index
ER  -