Fractals, Scaling and Growth Far from Equilibrium

ISBN-13: 9780521452533 / Angielski / Twarda / 1997 / 694 str.

Paul Meakin; Boris Chirikov; Predrag Cvitanovic

Opis

This 1998 book describes the progress that had 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.

Recenzje

Review of the hardback: 'This monograph provides and extensive exposition of the fundamental aspect of scaling, pattern formation far-from-equilibrium and fractals … The mathematical treatment of the book is carefully presented, emphasising the results, rather than intricate mathematical detail … the book provides [a] readable treatment of the basics of fractal geometry and scaling, to facilitate quantification of the structures grown under the non-equilibrium conditions … an extensive bibliography of over 1300 references makes this monograph a solid contribution in the field.' Miroslav M. Novak UK Nonlinear News

Spis treści

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.