Diffusion and Reactions in Fractals and Disordered Systems
Title | Diffusion and Reactions in Fractals and Disordered Systems PDF eBook |
Author | Daniel ben-Avraham |
Publisher | Cambridge University Press |
Pages | 334 |
Release | 2000-11-02 |
Genre | Mathematics |
ISBN | 0521622786 |
This book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Fractals and Disordered Systems
Title | Fractals and Disordered Systems PDF eBook |
Author | Armin Bunde |
Publisher | Springer Science & Business Media |
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.
Diffusion and Reactions in Fractals and Disordered Media
Title | Diffusion and Reactions in Fractals and Disordered Media PDF eBook |
Author | Daniel Ben-Avraham |
Publisher | |
Pages | 316 |
Release | 2000 |
Genre | |
ISBN |
Fractals, Diffusion, and Relaxation in Disordered Complex Systems
Title | Fractals, Diffusion, and Relaxation in Disordered Complex Systems PDF eBook |
Author | Yuri P. Kalmykov |
Publisher | John Wiley & Sons |
Pages | 432 |
Release | 2006-07-18 |
Genre | Science |
ISBN | 0471790257 |
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 and Disordered Systems
Title | Fractals and Disordered Systems PDF eBook |
Author | Armin Bunde |
Publisher | Springer Science & Business Media |
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.
Fractals, Diffusion, and Relaxation in Disordered Complex Systems, Volume 133, Part B
Title | Fractals, Diffusion, and Relaxation in Disordered Complex Systems, Volume 133, Part B PDF eBook |
Author | Yuri P. Kalmykov |
Publisher | John Wiley & Sons |
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.
Scaling and Disordered Systems
Title | Scaling and Disordered Systems PDF eBook |
Author | Fereydoon Family |
Publisher | World Scientific |
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.