Dynamics of fractal surfaces:
Gespeichert in:
Weitere Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore [u.a.]
World Scientific
1991
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 480 S. Ill., graph. Darst. |
ISBN: | 9810207204 9810207212 |
Internformat
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Datensatz im Suchindex
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adam_text | ___ vii
CONTENTS
Preface v
Chapter 1: INTRODUCTION
Introduction 1
Chapter 2: SELF AFFINE FRACTAL GEOMETRY
Self Affine Geometry 5
2.1 Self Affine Fractals and Fractal Dimension 11
by B. B. Mandelbrot, Physica Scripta 32, 257 260 (1985)
2.2 Self Affine Fractal Sets, I: The Basic Fractal Dimensions 21
by B. B. Mandelbrot, in Fractals in Physics, edited by L. Pietronero
and E. Tosatti (Elsevier, Amsterdam), pp. 3 15 (1986)
2.3 Random Fractals: Characterization and Measurement 39
by R. F. Voss, in Scaling Phenomena in Disordered Systems, edited
by R. Pynn and A. Skjeltorp (Plenum Press, New York), pp. 1 11
(1985)
2.4 Fractal Surfaces 51
by S. Alexander, in Transport and Relaxation in Random Materials,
edited by J. R. Klafter, J. Rubin and M. F. Shlesinger (World
Scientific, Singapore), pp. 59 71 (1986)
2.5 On the Self Affinity of Various Curves 65
by M. Matsushita and S. Ouchi, Physica D38, 246 251 (1989)
viii
Chapter 3: DYNAMIC SCALING
Dynamic Scaling of Growing Surfaces 73
3.1 Harnesses 79
by J. M. Hammersley, in Proceedings of the Fifth Berkeley Sympo¬
sium on Mathematical Statistics and Probability, edited by L. Le
Cam and J. Neyman (University of California Press, Berkeley),
pp. 89 117 (1967)
3.2 The Surface Statistics of a Granular Aggregate 109
by S. F. Edwards and D. R. Wilkinson, Proc. R. Soc. Lond. A381,
17 31 (1982)
3.3 Scaling of the Active Zone in the Eden Process on Percolation 125
Networks and the Ballistic Deposition Model
by F. Family and T. Vicsek, J. Phys. A18, L75 L81 (1985)
Chapter 4: MODELS
Models of Growing Rough Surfaces 133
Ballistic Deposition
4.1 A Numerical Approach to the Problem of Sediment Volume 143
by M. J. Void, J. Coll. Sci. 14, 168 174 (1959)
4.2 Ballistic Deposition on Surfaces 151
by P. Meakin, P. Ramanlal, L. M. Sander, and R. C. Ball, Phys.
Rev. A34, 5091 5103 (1986)
4.3 Scaling of Rough Surfaces: Effects of Surface Diffusion 165
by F. Family, J. Phys. A19, L441 L446 (1986)
4.4 Time Reversal Invariance and Universality of Two Dimensional 173
Growth Models
by M. Plischke, Z. Racz and D. Liu, Phys. Rev. B35, 3485 3495
(1987)
4.5 Restructuring Effects in the Rain Model for Random Deposition 185
by P. Meakin and R. Jullien, J. Physique 48, 1651 1662 (1987)
4.6 Simple Three Dimensional Models for Ballistic Deposition 199
with Restructuring
by R. Jullien and P. Meakin, Europhys. Lett. 4, 1385 1390 (1987)
ix
4.7 Dynamical Scaling of the Surface of Finite Density Ballistic 207
Aggregation
by R. Baiod, D. Kessler, P. Ramanlal, L. M. Sander, and R. Savit,
Phys. Rev. A38, 3672 3679 (1988)
4.8 Concentration Effects in the Off Lattice Random Ballistic Deposition 217
Model
by R. Jullien and P. Meakin, J. Phys. A22, LI 115—LI 119 (1989)
4.9 Growth in a Restricted Solid on Solid Model 223
by J. M. Kim and J. M. Kosterlitz, Phys. Rev. Lett. 62, 2289 2292
(1989)
4.10 Anomalous Roughening in Growth Processes 229
by J. Kertesz and D. E. Wolf, Phys. Rev. Lett. 62, 2571 2574
(1989)
4.11 Phase Transition in a Restricted Solid on Solid Surface Growth 235
Model in 2+1 Dimensions
by J. G. Amar and F. Family, Phys. Rev. Lett. 64, 543 546 (1990)
4.12 Surface Roughening in a Hypercube Stacking Model 241
by B. M. Forrest and L. H. Tang, Phys. Rev. Lett. 64, 1405 1408
(1990)
4.13 Growth with Surface Diffusion 247
by D. E. Wolf and J. Villain, Europhys. Lett. 13, 389 394 (1990)
4.14 Surface Diffusion and Fluctuations of Growing Interfaces 254
by L. Golubovic and R. Bruinsma, Phys. Rev. Lett. 66, 321 324
(1991)
4.15 A New Universality Class for Kinetic Growth: One Dimensional 258
Molecular Beam Epitaxy
by S. Das Sarma and P. Tamborenea, Phys. Rev. Lett. 66, 325 328
(1991)
The Eden Growth Model
4.16 A Two Dimensional Growth Process 265
by M. Eden, in Proceedings of the Fourth Berkeley Symposium on
Mathematical Statistics and Probability, Volume IV: Biology and
Problems of Health, edited by J. Neyman (University of California
Press, Berkeley), pp. 223 239 (1961)
4.17 Active Zone of Growing Clusters: Diffusion Limited Aggregation and 283
the Eden Model
by M. Plischke and Z. Racz, Phys. Rev. Lett. 53, 415 418 (1984)
X
4.18 Scaling Properties of the Surface of the Eden Model in d = 2, 3, 4 289
by R. Jullien and R. Botet, J. Phys. A18, 2279 2287 (1985)
4.19 Simulation of Large Eden Clusters 299
by J. G. Zabolitzky and D. Stauffer, Phys. Rev. A34, 1523 1530
(1986)
4.20 Noise Reduction in Eden Models: II. Surface Structure and Intrinsic 309
Width
by J. Kertesz and D. E. Wolf, J. Phys. 21, 747 761 (1988)
4.21 Scaling Properties of Eden Clusters in Three and Four Dimensions 325
by P. Devillard and H. E. Stanley, Physica A160, 298 309 (1989)
Continuum Equations and Directed Polymers
4..22 Dynamic Scaling of Growing Interfaces 341
by M. Kardar, G. Parisi and Y. C. Zhang, Phys. Rev. Lett. 56,
889 892 (1986)
4.23 Scaling of Directed Polymers in Random Media 347
by M. Kardar and Y. C. Zhang, Phys. Rev. Lett. 58, 2087 2090
(1987)
4.24 Universality Classes for Deterministic Surface Growth 353
by J. Krug and H. Spohn, Phys. Rev. A38, 4271 4283 (1988)
4.25 Burgers Equation with Correlated Noise: Renormalization Group 367
Analysis and Applications to Directed Polymers and Interface Growth
by E. Medina, T. Hwa, M. Kardar, and Y. C. Zhang, Phys. Rev.
A39, 3053 3075 (1989)
4.26 Dynamics of Driven Interfaces with a Conservation Law 391
by T. Sun, H. Guo and M. Grant, Phys. Rev. A40, 6763 6766
(1989)
4.27 Numerical Solution of a Continuum Equation for Interface Growth in 399
2+1 Dimensions
by J. G. Amar and F. Family, Phys. Rev. A41, 3399 3402 (1990)
4.28 Growth Induced Roughening of Crystalline Facets 403
by T. Hwa, M. Kardar and M. Paczuski, Phys. Rev. Lett. 66,
441 444 (1991)
Other Surface Growth Models
4.29 Non Universal Roughening of Kinetic Self Affine Interfaces 411
by Y. C. Zhang, J. Physique 51, 2129 2134 (1990)
xi
4.30 Critical Phenomena in Fluid Invasion of Porous Media 419
by N. Martys, M. Cieplak and M. O. Robbins, Phys. Rev. Lett. 66,
1058 1061 (1991)
Chapter 5: EXPERIMENTS
Surface Growth Experiments 425
5.1 Growth Front Instabilities in Solid State Recrystallization of 427
Amorphous GaAs Films
by C. Licoppe, L. Nissim and C. d Anterroches, Phys. Rev. B37,
1287 1293 (1988)
5.2 Multilayer Adsorption on a Fractally Rough Surface 435
by P. Pfeifer, Y. J. Wu, M. W. Cole and J. Krim, Phys. Rev. Lett.
62, 1997 2000 (1989)
5.3 Wetting of Fractally Rough Surfaces 440
by M. Kardar and J. O. Indekeu, Phys. Rev. Lett. 65, 662 (1990)
5.4 Wetting of Fractally Rough Surfaces: Pfeifer, Cole and Krim Reply 441
by P. Pfeifer, M. W. Cole and J. Krim, Phys. Rev. Lett. 65, 663
(1990)
5.5 Self Affine Fractal Interfaces from Immiscible Displacement in 443
Porous Media
by M. A. Rubio, C. A. Edwards, A. Dougherty, and J. P. Gollub,
Phys. Rev. Lett. 63, 1685 1688 (1989)
5.6 Self Affine Growth of Bacterial Colonies 449
by T. Vicsek, M. Cserzo and V. K. Horvath, Physica A167,
315 321 (1990)
5.7 Dynamic Scaling of the Interface in Two Phase Viscous Flows in 457
Porous Media
by V. K. Horvath, F. Family and T. Vicsek, J. Phys. A24,
L25 L29 (1991)
Bibliography 463
Recent Preprints 477
Author Index 479
|
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spelling | Dynamics of fractal surfaces ed. by Fereydoon Family ... Singapore [u.a.] World Scientific 1991 XI, 480 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Dynamiek gtt Fractales Physique mathématique Statistische mechanica gtt Mathematische Physik Fractals Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Oberfläche (DE-588)4042907-6 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Fraktal (DE-588)4123220-3 s Mathematische Physik (DE-588)4037952-8 s DE-604 Oberfläche (DE-588)4042907-6 s Dynamik (DE-588)4013384-9 s Family, Fereydoon (DE-588)151102503 edt HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003709417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Dynamics of fractal surfaces Dynamiek gtt Fractales Physique mathématique Statistische mechanica gtt Mathematische Physik Fractals Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Dynamik (DE-588)4013384-9 gnd Fraktal (DE-588)4123220-3 gnd Oberfläche (DE-588)4042907-6 gnd |
subject_GND | (DE-588)4037952-8 (DE-588)4013384-9 (DE-588)4123220-3 (DE-588)4042907-6 (DE-588)4143413-4 |
title | Dynamics of fractal surfaces |
title_auth | Dynamics of fractal surfaces |
title_exact_search | Dynamics of fractal surfaces |
title_full | Dynamics of fractal surfaces ed. by Fereydoon Family ... |
title_fullStr | Dynamics of fractal surfaces ed. by Fereydoon Family ... |
title_full_unstemmed | Dynamics of fractal surfaces ed. by Fereydoon Family ... |
title_short | Dynamics of fractal surfaces |
title_sort | dynamics of fractal surfaces |
topic | Dynamiek gtt Fractales Physique mathématique Statistische mechanica gtt Mathematische Physik Fractals Mathematical physics Mathematische Physik (DE-588)4037952-8 gnd Dynamik (DE-588)4013384-9 gnd Fraktal (DE-588)4123220-3 gnd Oberfläche (DE-588)4042907-6 gnd |
topic_facet | Dynamiek Fractales Physique mathématique Statistische mechanica Mathematische Physik Fractals Mathematical physics Dynamik Fraktal Oberfläche Aufsatzsammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003709417&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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