Fractal Concepts in Surface Growth

ISBN-13: 9780521483186 / Angielski / Miękka / 1995 / 388 str.

Albert-Laszlo Barabasi; Harry Eugene Stanley

Opis

Fractals and surfaces are two of the most widely-studied areas of modern physics. In fact, most surfaces in nature are fractals. In this book, Drs. Barabasi and Stanley explain how fractals can be successfully used to describe and predict the morphology of surface growth. The authors begin by presenting basic growth models and the principles used to develop them. They next demonstrate how models can be used to answer specific questions about surface roughness. In the second half of the book, they discuss in detail two classes of phenomena: fluid flow in porous media and molecular beam epitaxy (MBE). In each case, the authors review the model and analytical approach, and present experimental results. This book is the first attempt to unite the subjects of fractals and surfaces, and it will appeal to advanced undergraduate and graduate students in condensed matter physics and statistical mechanics. Because of the technological importance of MBE, it will also be of interest to scientists, particularly materials scientists, working in industry and research. Interested readers may view a sample chapter by contacting our web site at http: //www.cup.org/onlinepubs/Fractals/fracts1.html.

Recenzje

"...the presentation is made with care and rigor.... The book...can be used for advanced undergraduate or graduate courses. It will be of great practical use for students in the areas of physics and surface growth, and more generally, for students in chemistry, biology, applied mathematics and engineering or materials science." Vitor R. Vieira, Mathematical Reviews

Spis treści

Preface; Notation guide; Part I. Introduction: 1. Interfaces in nature; 2. Scaling concepts; 3. Fractal concepts; Part II. Nonequilibrium Roughening: 4. Random deposition; 5. Linear theory; 6. Kardar-Parisi-Zhang equation; 7. Renormalization group approach; 8. Discrete growth models; Part III. Interfaces in Random Media: 9. Basic phenomena; 10. Quenched noise; 11. Experiments; Part IV. Molecular Beam Epitaxy: 12. Basic phenomena of MBE; 13. Linear theory of MBE; 14. Nonlinear theory for MBE; 15. Discrete models for MBE; 16. MBE experiments; 17. Submonolayer deposition; 18. The roughening transition; 19. Nonlocal growth models; 20. Diffusion bias; Part V. Noise: 21. Diffusive versus deposition noise; 22. Correlated noise; 23. Rare events; Part VI. Advanced Topics: 24. Multi-affine surfaces; 25. Variants of the KPZ equation; 26. Equilibrium fluctuations and directed polymers; Part VII. Finale: 27. Summary of the continuum growth equations; 28. Outlook; Appendices; Bibliography; Index.