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Fractal concepts in surface growth:

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Bibliographische Detailangaben
Beteiligte Personen:	Barabási, Albert-László 1967- (VerfasserIn), Stanley, H. Eugene 1941- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Cambridge [u.a.] Cambridge Univ. Press 1995
Ausgabe:	1. publ.
Schlagwörter:	Crystal growth Fractals Interfaces (Physical sciences) Molecular beam epitaxy Surfaces Surfaces (Physics) Molekularstrahlepitaxie Unordnung Kristallzüchtung Kristallwachstum Oberfläche Festkörperoberfläche Schichtwachstum Modell Fraktal Grenzfläche
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006917679&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. [332] - 358. - Hier auch später erschienene, unveränderte Nachdrucke
Umfang:	XX, 366 S. Ill., graph. Darst.
ISBN:	0521483085 0521483182

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface xv Notation guide xix Part 1 Introduction 1 1 Interfaces in nature 1 1.1 Interface motion in disordered media 3 1.2 Deposition processes 6 13 16 18 19 19 20 23 25 27 29 29 30 32 36 38 38 38 1.3 Biological systems 1.4 Methods of analysis 1.5 Discussion 2 Scaling concepts 2.1 Ballistic deposition 2.2 Roughening 2.3 Dynamic scaling 2.4 Correlations 2.5 Discussion 3 Fractal concepts 3.1 Self-similarity 3.2 Fractal dimension 3.3 Self-affinity 3.4 Discussion Part 2 Nonequilibríum roughening 4 Random deposition 4.1 Definition 4.2 Exact solution 40 4.3 Stochastic growth equations 41 4.4 Discussion 42 5 Linear theory 44 5.1 Random deposition with surface relaxation 44 5.2 Symmetry principles 46 5.3 The Edwards-Wilkinson equation 48 5.4 Solving the E W equation 51 5.5 Discussion 54 6 Kardar-Parisi-Zhang equation 56 6.1 Construction of the KPZ equation 56 6.2 Excess velocity 58 6.3 Scaling arguments 60 6.4 Exponents 61 6.5 Discussion 63 7 Renormalization group approach 65 7.1 Basic concepts 65 7.2 Re-scaling in momentum space 69 7.3 Flow equations for the KPZ equation 71 7.4 Phase transition in the KPZ equation 73 7.5 Exponents for d > 1 74 7.6 Discussion 76 8 Discrete growth models 78 8.1 Ballistic deposition 78 8.2 Eden model 79 8.3 Solid-on-solid models 81 8.4 Propagation of interfaces in the Ising model 87 8.5 Numerical integration of the KPZ equation 88 8.6 Discussion 90 Part 3 Interfaces in random media 91 9 Basic phenomena 91 9.1 Depinning transition 92 9.2 Interfaces in a disordered medium 93 9.3 Scaling arguments 95 9.4 Thermal noise 97 9.5 Discussion 98 10 Quenched noise 99 10.1 Universality classes 100 10.2 Pinning by directed percolation 103 10.3 Isotropie growth models 109 10.4 Discussion 113 11 Experiments 115 11.1 Fluid flow in a porous medium 115 11.2 Paper wetting 119 11.3 Propagation of burning fronts 122 11.4 Growth of bacterial colonies 123 11.5 Rupture lines in paper sheets 125 11.6 Discussion 127 Part 4 Molecular beam epitaxy 128 12 Basic phenomena of MBE 128 12.1 Introduction 128 12.2 Microscopic processes on crystal surfaces 130 12.3 Discussion 136 13 Linear theory of MBE 139 13.1 Surface diffusion 139 13.2 Solving the diffusive growth equation 142 13.3 Growth with desorption 142 13.4 Discussion 144 14 Nonlinear theory for MBE 146 14.1 Surface diffusion : Nonlinear effects 146 14.2 Growth with desorption 150 14.3 Discussion 152 15 Discrete models for MBE 153 15.1 Irreversible growth models 154 15.2 Models with thermal activation 159 15.3 Hamiltonian models 163 15.4 Discussion 164 16 MBE experiments 166 16.1 Experimental techniques 167 16.2 Scaling approach for interface roughening 169 16.3 Dynamical properties 170 17 18 19 20 16.4 Discussion 172 Submonolayer deposition 175 17.1 Model 175 17.2 Scaling theory 176 17.3 Rate equations 180 17.4 Results from simulations 181 17.5 Extensions of the DDA model 183 17.6 Experimental results 187 17.7 Discussion 191 The roughening transition 192 18.1 Equilibrium fluctuations 192 18.2 Discrete models and experimental tests 199 18.3 Nonequilibrium effects 201 18.4 Discussion 206 Nonlocal growth models 209 19.1 Diffusion-limited aggregation 209 19.2 Sputter deposition 212 19.3 Experimental results on sputter deposition 219 19.4 Roughening by ion bombardment 225 19.5 Discussion 229 Diffusion bias 231 20.1 Diffusion bias and instabilities 231 20.2 Nonlinear theory 232 20.3 Discrete models 235 20.4 Experimental support 237 20.5 Discussion 239 Part 5 Noise 240 21 Diffusive versus deposition noise 240 21.1 Conservative noise 240 21.2 Linear theory 241 21.3 Scaling regimes 242 21.4 Nonlinear theory 243 21.5 Discussion 244 22 Correlated noise 245 22.1 Introducing correlated noise 246 22.2 Linear theory with correlated noise 246 22.3 KPZ equation with spatially-correlated noise 248 22.4 KPZ equation with temporally-correlated noise 250 22.5 Discussion 252 23 Rare events 253 23.1 Linear theory 254 23.2 Nonlinear theory 257 23.3 Multi-affinity 259 23.4 Discussion 261 Part 6 Advanced topics 262 24 Multi-affine surfaces 262 24.1 Hierarchy of scaling exponents 263 24.2 A deterministic multi-affine model 264 24.3 Brownian motion 266 24.4 Local dimensions 266 25 Variants of the KPZ equation 269 25.1 Deterministic KPZ equation 269 25.2 Anisotropie KPZ equation 271 25.3 Universal amplitudes 275 25.4 Discussion 276 26 Equilibrium fluctuations and directed polymers 277 26.1 Discrete model 277 26.2 Scaling properties 278 26.3 Continuum description 279 26.4 Equilibrium theory 280 26.5 Discussion 284 Part 7 Finale 285 27 Summary of the continuum growth equations 285 27.1 Universality classes 285 27.2 Nomenclature 287 27.3 Related problems 289 27.4 Discussion 296 28 Outlook 298 Appendix A Numerical recipes 301 A.I Measuring exponents for self-affine interfaces 301 A.2 The coefficient λ of the nonlinear term 307 A.3 Intrinsic width 309 A.4 Measuring surface diffusion currents 310 A.5 Generating noise in simulations 311 Appendix В Dynamic renormalization group 315 B.I Introduction 315 B.2 Perturbation expansion 316 B.3 Renormalization procedure 323 B.4 Calculation of the integrals 325 Appendix С Hamiltonian description 330 Bibliography 332 Index 359
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title	Fractal concepts in surface growth
title_auth	Fractal concepts in surface growth
title_exact_search	Fractal concepts in surface growth
title_full	Fractal concepts in surface growth Albert-László Barabási ; H. Eugene Stanley
title_fullStr	Fractal concepts in surface growth Albert-László Barabási ; H. Eugene Stanley
title_full_unstemmed	Fractal concepts in surface growth Albert-László Barabási ; H. Eugene Stanley
title_short	Fractal concepts in surface growth
title_sort	fractal concepts in surface growth
topic	Crystal growth Fractals Interfaces (Physical sciences) Molecular beam epitaxy Surfaces Surfaces (Physics) Molekularstrahlepitaxie (DE-588)4170399-6 gnd Unordnung (DE-588)4204276-8 gnd Kristallzüchtung (DE-588)4140616-3 gnd Kristallwachstum (DE-588)4123579-4 gnd Oberfläche (DE-588)4042907-6 gnd Festkörperoberfläche (DE-588)4127823-9 gnd Schichtwachstum (DE-588)4273432-0 gnd Modell (DE-588)4039798-1 gnd Fraktal (DE-588)4123220-3 gnd Grenzfläche (DE-588)4021991-4 gnd
topic_facet	Crystal growth Fractals Interfaces (Physical sciences) Molecular beam epitaxy Surfaces Surfaces (Physics) Molekularstrahlepitaxie Unordnung Kristallzüchtung Kristallwachstum Oberfläche Festkörperoberfläche Schichtwachstum Modell Fraktal Grenzfläche
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006917679&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT barabasialbertlaszlo fractalconceptsinsurfacegrowth AT stanleyheugene fractalconceptsinsurfacegrowth

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