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.
- Very important area in nonlinear science
- Well-known author in the field
- Describes challenges in the field of fractal modelling
Read more
Reviews & endorsements
Review of the hardback: '… a true work of scholarship and a very helpful starting point into the appropriate research papers … The book is handsomely produced … A good investment for an institutional library in an important area of modern research.' Stephen K. Scott Chemistry in Britain
Review of the hardback: 'In Fractals, Scaling and Growth Far from Equilibrium Paul Meakin gives a masterly survey of the mathematical tools available for describing such surfaces, summarises models of growth and relevant experimental studies, and then applies the mathematics of fractals and scaling to the growth of surfaces and interfaces in materials. This book provides an authoritative account for graduate students and researcher studying the geometry of surfaces and interfaces. [It] provides a definitive account of the mathematical description of shapes of systems far from equilibrium, and richly deserves inclusion in the prestigious Cambridge Nonlinear Science series.' Andrew Briggs The Times Higher Education Supplement
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
See more reviews
Customer reviews

Not yet reviewed
Be the first to review

Log in to review

Review was not posted due to profanity
×

, create a review

(If you're not , sign out)

Please enter the right captcha value

Please enter a star rating.

Your review must be a minimum of 12 words.

How do you rate this item?

Reviews must contain at least 12 words about the product.

×

Product details
- Date Published: April 2011
- format: Paperback
- isbn: 9780521189811
- length: 694 pages
- dimensions: 244 x 170 x 35 mm
- weight: 1.09kg
- availability: Available
Table of Contents
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.
Look Inside

General Resources

Resources

Find resources associated with this title

Back to resources home

Type	Name	Unlocked *	Format	Size

Showing of

This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

If you are having problems accessing these resources please contact [email protected].

Author
Paul Meakin, Universitetet i Oslo

Related Books

Diffusion and Reactions in Fractals and Disordered Systems

Dynamics of Self-Organized and Self-Assembled Structures

Fractals and Chaos in Geology and Geophysics

Chaotic Dynamics

An Introduction

Fractal Concepts in Surface Growth

Student Solution Manual for Mathematical Methods for Physics and Engineering Third Edition

Products and services

About us

Careers

Unlocking potential with the best learning and research solutions

Fractals, Scaling and Growth Far from Equilibrium

£67.99