Fractals, Scaling and Growth Far from Equilibrium

Erscheinungsjahr 2011
ISBN: 978-0-521-45253-3
Verlag: Cambridge University Press

Buch, Englisch, Band 5, 688 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 1478 g

Reihe: Cambridge Nonlinear Science Series

This book describes the progress that has been made towards the development of a comprehensive understanding of the formation of complex, disorderly patterns under conditions far from equilibrium. The application of fractal geometry and scaling concepts to the quantitative description and understanding of structure formed under non-equilibrium conditions is described. Self-similar fractals, multi-fractals and scaling methods are discussed, with examples, to facilitate applications in the physical sciences. Computer simulations and experimental studies are emphasised, but the author also includes discussion of theoretical advances in the subject. Much of the book deals with diffusion-limited growth processes and the evolution of rough surfaces, although a broad range of other applications is also included. The techniques and topics will be relevant to graduate students and researchers in physics, chemistry, materials science, engineering and the earth sciences, interested in applying the ideas of fractals and scaling.

Autoren/Hrsg.

Meakin, Paul

Fachgebiete

• Naturwissenschaften Physik Thermodynamik Oberflächen- und Grenzflächenphysik, Dünne Schichten
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Interdisziplinäres Wissenschaften Wissenschaften Interdisziplinär Naturwissenschaften, Technik, Medizin
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

Preface; 1. Pattern formation far from equilibrium; 2. Fractals and scaling; 3. The basic models; 4. Experimental studies; 5. The growth of surfaces and interfaces; Appendix I. Instabilities; Appendix II. Multifractals; Bibliography.