000			03310nam a2200301 i 4500
008			920427s1992 si af b 001 0 eng
010			_a92011311
020			_a9810206682
040			_aBAUN _beng _cBAUN _erda
049			_aBAUN_MERKEZ
050	0	4	_aQA614.86 _b.V53 1999
082	0	0	_220
100	1		_aVicsek, Tamás.
245	1	0	_aFractal growth phenomena / _cTamás Vicsek.
250			_a2nd ed.
264		1	_aSingapore ; _aNew Jersey : _bWorld Scientific, _c[1992]
264		4	_c©1992
300			_axix, 488 pages, 18 pages of plates : _billustrations (some color) ; _c26 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
504			_aIncludes bibliographical references and indexes.
505	0	0	_tForeword _t Preface _t Preface to the First Edition _t1 Introduction _tPt. I Fractals _t 2 Fractal Geometry _t 2.1 Fractals as mathematical and physical objects _t 2.2 Definitions _t 2.3 Types of fractals _t 3 Fractal Measures _t 3.1 Multifractality _t 3.2 Relations among the exponents _t 3.3 Fractal measures constructed by recursion _t 3.4 Geometrical multifractality _t 4 Methods for Determining Fractal Dimensions _t 4.1 Measuring fractal dimensions in experiments _t 4.2 Evaluation of numerical data _t 4.3 Renormalization group _t References _tPt. II Cluster Growth Models _t 5 Local Growth Models _t 5.1 Spreading percolation _t 5.2 Invasion percolation _t 5.3 Kinetic gelation _t 5.4 Random walks _t 6 Diffusion-limited Growth _t 6.1 Diffusion-limited aggregation (DLA) _t 6.2 Diffusion-limited deposition _t 6.3 Dielectric breakdown model _t 6.4 Other non-local particle-cluster growth models _t 7 Growing Self-affine Surfaces _t 7.1 Eden model _t 7.2 Ballistic aggregation _t 7.3 Ballistic deposition _t 7.4 Theoretical results _t 8 Cluster-cluster Aggregation (CCA) _t 8.1 Structure _t 8.2 Dynamic scaling for the cluster size distribution _t 8.3 Experiments _t References _tIII Fractal Pattern Formation _t 9 Computer Simulations _t 9.1 Equations _t 9.2 Models related to diffusion-limited aggregation _t 9.3 Generalizations of the dielectric breakdown model _t 9.4 Boundary integral methods _t 10 Experiments on Laplacian Growth _t 10.1 Viscous fingering _t 10.2 Crystallization _t 10.3 Electrochemical deposition _t 10.4 Other related experiments _t References _tIV Recent Developments _t 11 Cluster Models of Self-similar Growth _t 11.1 Diffusion-limited aggregation _t 11.2 Fracture _t 11.3 Other models _t 11.4 Theoretical approaches _t 12 Dynamics of Self-affine Surfaces _t 12.1 Dynamic scaling _t 12.2 Aggregation models _t 12.3 Continuum equation approach _t 12.4 Phase transition _t 12.5 Rare events dominated kinetic roughening _t 12.6 Multiaffinity _t 13 Experiments _t 13.1 Self-similar growth _t 13.2 Self-affine growth _t References _t App. A. Algorithm for generating diffusion-limited aggregates _t App. B. Construction of a simple Hele-Shaw cell _t App. C. Basic concepts underlying multifractal measures _t Author Index _t Subject Index _t
650		0	_aFractals.
900			_a23672
900			_bsatın
942			_2lcc _cKT
999			_c18373 _d18373