Fractals and Disordered Systems

Fractals and Disordered Systems
Author: Armin Bunde
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 2012-12-06
Genre: Science
ISBN: 3642848680

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In ten chapters written by leading experts in the field, the reader is introduced to basic concepts and techniques in disordered systems and is led to the forefront of current research. This second edition has been substantially revised and updates the literature in this important field.

Fractals and Disordered Systems

Fractals and Disordered Systems
Author: Armin Bunde
Publisher: Springer Science & Business Media
Total Pages: 363
Release: 2012-12-06
Genre: Science
ISBN: 3642514359

Fractals and disordered systems have recently become the focus of intense interest in research. This book discusses in great detail the effects of disorder on mesoscopic scales (fractures, aggregates, colloids, surfaces and interfaces, glasses, and polymers) and presents tools to describe them in mathematical language. A substantial part is devoted to the development of scaling theories based on fractal concepts. In 10 chapters written by leading experts in the field, including E. Stanley and B. Mandelbrot, the reader is introduced to basic concepts and techniques in disordered systems and is lead to the forefront of current research. In each chapter the connection between theory and experiment is emphasized, and a special chapter entitled "Fractals and Experiments" presents experimental studies of fractal systems in the laboratory. The book is written pedagogically. It can be used as a textbook for graduate students, by university teachers to prepare courses and seminars, and by active scientists who want to become familiar with a fascinating new field.

Scaling Phenomena in Disordered Systems

Scaling Phenomena in Disordered Systems
Author: Roger Pynn
Publisher: Springer Science & Business Media
Total Pages: 569
Release: 2013-11-21
Genre: Technology & Engineering
ISBN: 1475714025

This volume comprises the proceedings of a NATO Advanced Study Institute held in Geilo, Norway, between 8-19 April 1985. Although the principal support for the meeting was provided by the NATO Committee for Scientific Affairs, a number of additional sponsors also contributed, allowing the assembly of an unusually large number of internationally rec ognized speakers. Additional funds were received from: EXXON Research and Engineering Co. IBM (Europe) Institutt for energiteknikk (NorwaY) Institut Lauge-Langevin (France) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) The Norwegian Foreign Office The U. S. Army Research, Development and Standardization Group (Europe) The U. S. National Science Foundation - The Norwegian Council for Science and Letters The organizing committee would like to take this opportunity to thank these contributors for their help in promoting a most exciting rewarding meeting. This Study Institute was the eighth of a series of meetings held in Geilo on subjects related to phase transitions. In contrast to previous meetings which were principally concerned with transitions in ordered systems, this school addressed the problems which arise when structural order is absent. The unifying feature among the subjects discussed at the school and the link to themes of earlier meetings was the concept of scaling.

Fractals, Diffusion, and Relaxation in Disordered Complex Systems, Volume 133, Part B

Fractals, Diffusion, and Relaxation in Disordered Complex Systems, Volume 133, Part B
Author: Yuri P. Kalmykov
Publisher: John Wiley & Sons
Total Pages: 756
Release: 2006-06-30
Genre: Science
ISBN: 0471725080

Fractals, Diffusion and Relaxation in Disordered Complex Systems is a special guest-edited, two-part volume of Advances in Chemical Physics that continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.

Fractals in Physics

Fractals in Physics
Author: L. Pietronero
Publisher: Elsevier
Total Pages: 489
Release: 2012-12-02
Genre: Science
ISBN: 0444598413

Fractals in Physics

Fractal Concepts in Condensed Matter Physics

Fractal Concepts in Condensed Matter Physics
Author: Tsuneyoshi Nakayama
Publisher: Springer Science & Business Media
Total Pages: 216
Release: 2013-06-29
Genre: Science
ISBN: 3662051931

Concisely and clearly written by two foremost scientists, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics. The authors’ unified description of different dynamic problems makes the book extremely accessible.

Fractals, Scaling and Growth Far from Equilibrium

Fractals, Scaling and Growth Far from Equilibrium
Author: Paul Meakin
Publisher: Cambridge University Press
Total Pages: 700
Release: 1998
Genre: Mathematics
ISBN: 9780521452533

A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Scaling and Disordered Systems

Scaling and Disordered Systems
Author: Fereydoon Family
Publisher: World Scientific
Total Pages: 364
Release: 2002
Genre: Technology & Engineering
ISBN: 9789810248383

Investigation of the fractal and scaling properties of disordered systems has recently become a focus of great interest in research. Disordered or amorphous materials, like glasses, polymers, gels, colloids, ceramic superconductors and random alloys or magnets, do not have a homogeneous microscopic structure. The microscopic environment varies randomly from site to site in the system and this randomness adds to the complexity and the richness of the properties of these materials. A particularly challenging aspect of random systems is their dynamical behavior. Relaxation in disordered systems generally follows an unusual time-dependent trajectory. Applications of scaling and fractal concepts in disordered systems have become a broad area of interdisciplinary research, involving studies of the physics, chemistry, mathematics, biology and engineering aspects of random systems. This book is intended for specialists as well as graduate and postdoctoral students working in condensed-matter or statistical physics. It provides state-of-the-art information on the latest developments in this important and timely topic. The book is divided into three parts: Part I deals with critical phenomena, Part II is devoted to discussion of slow dynamics and Part III involves the application of scaling concepts to random systems. The effects of disorder at the mesoscopic scale as well as the latest results on the dynamical properties of disordered systems are presented. In particular, recent developments in static and dynamic scaling theories and applications of fractal concepts to disordered systems are discussed.

Fractals in Biology and Medicine

Fractals in Biology and Medicine
Author: Gabriele A. Losa
Publisher: Springer Science & Business Media
Total Pages: 382
Release: 1994
Genre: Computers
ISBN: 9783764364748

In March 2000 leading scientists gathered at the Centro Seminariale Monte VeritĂ , Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.