[دانلود کتاب] On Growth and Form: Fractal and Non-Fractal Patterns in Physics

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On Growth and Form: Fractal and Non-Fractal Patterns in Physics

Hans J. Herrmann (auth.), H. Eugene Stanley, Nicole Ostrowsky (eds.)

1985

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We have shown that simple power-law dynamics is expected for flexible fractal objects. Although the predicted behavior is well established for linear polymers, the situationm is considerably more complex for colloidal aggregates. In the latter case, the observed K-dependence of (r) can be explained either in terms of non-asymptotic hydrodynamics or in terms of weak power-law polydispersity. In the case of powders (alumina, in particular) apparent fractal behavior seen in static scattering is not found in the dynamics. ID. W. Schaefer, J. E. Martin, P. Wiitzius, and D. S. Cannell, Phys. Rev. Lett. 52,2371 (1984). 2 J. E. Martin and D. W. Schaefer, Phys. Rev. Lett. 5:1,2457 (1984). 3 D. W. Schaefer and C. C. Han in Dynamic Light Scattering, R. Pecora ed, Plenum, NY, 1985) p. 181. 4 P. Sen, this book. S J. E. Martin and B. J. Ackerson, Phys. Rev. A :11, 1180 (1985). 6 J. E. Martin, to be published. 7 D. A. Weitz, J. S. Huang, M. Y. Lin and J. Sung, Phys. Rev. Lett. 53,1657 (1984) . 8 J. E. Martin, D. W. Schaefer and A. J. Hurd, to be published; D. W. Schaefer, K. D. Keefer, J. E. Martin, and A. J. Hurd, in Physics of Finely Divided Matter, M. Daoud, Ed., Springer Verlag, NY, 1985. 9 D. W. Schaefer and A. J. Hurd, to be published. lOJ. E. Martin, J. Appl. Cryst. (to be published).

Table of contents
کد:
Front Matter....Pages I-X
Front Matter....Pages 1-2
Growth: An Introduction....Pages 3-20
Form: An Introduction to Self-Similarity and Fractal Behavior....Pages 21-53
Scale-Invariant Diffusive Growth....Pages 54-68
DLA in the Real World....Pages 69-78
Percolation and Cluster Size Distribution....Pages 79-100
Scaling Properties of the Probability Distribution for Growth Sites....Pages 101-110
Computer Simulation of Growth and Aggregation Processes....Pages 111-135
Rate Equation Approach to Aggregation Phenomena....Pages 136-144
Experimental Methods for Studying Fractal Aggregates....Pages 145-162
On the Rheology of Random Matter....Pages 163-173
Development, Growth, and Form in Living Systems....Pages 174-184
Front Matter....Pages 185-186
Aggregation of Colloidal Silica....Pages 187-197
Dynamics of Fractals....Pages 198-202
Fractal Viscous Fingers: Experimental Results....Pages 203-210
Wetting Induced Aggregation....Pages 211-217
Light Scattering from Aggregating Systems: Static, Dynamic (QELS) and Number Fluctuations....Pages 218-221
Flocculation and Gelation in Cluster Aggregation....Pages 222-226
Branched Polymers....Pages 227-230
Dynamics of Aggregation Processes....Pages 231-236
Fractal Properties of Clusters During Spinodal Decomposition....Pages 237-243
Front Matter....Pages 185-186
Kinetic Gelation....Pages 244-248
Dendritic Growth by Monte Carlo....Pages 249-253
Flow through Porous Materials....Pages 254-259
Crack Propagation and Onset of Failure....Pages 260-262
The Theta Point....Pages 263-264
Field Theories of Walks and Epidemics....Pages 265-272
Transport Exponents in Percolation....Pages 273-277
Non-Universal Critical Exponents for Transport in Percolating Systems....Pages 278-278
Lévy Walks Versus Lévy Flights....Pages 279-283
Growth Perimeters Generated by a Kinetic Walk: Butterflies, Ants and Caterpillars....Pages 284-287
Asymptotic Shape of Eden Clusters....Pages 288-292
Occupation Probability Scaling in DLA....Pages 293-298
Fractal Singularities in a Measure and “How to Measure Singularities on a Fractal”....Pages 299-301
Back Matter....Pages 303-308
 

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