Fractals And Disordered Systems

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Fractals and Disordered Systems

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer Science & Business Media
Page : 428 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642848681

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Fractals and Disordered Systems by Armin Bunde,Shlomo Havlin Pdf

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 Systems

Author : Daniel ben-Avraham,Shlomo Havlin
Publisher : Cambridge University Press
Page : 334 pages
File Size : 46,6 Mb
Release : 2000-11-02
Category : Mathematics
ISBN : 9780521622783

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Diffusion and Reactions in Fractals and Disordered Systems by Daniel ben-Avraham,Shlomo Havlin Pdf

This book describes diffusion and transport in disordered media such as fractals and random resistor networks.

Fractal Aspects of Materials

Author : Materials Research Society. Fall Meeting Symposium S.
Publisher : Unknown
Page : 228 pages
File Size : 40,8 Mb
Release : 1987
Category : Fractals
ISBN : PSU:000014701917

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Fractal Aspects of Materials by Materials Research Society. Fall Meeting Symposium S. Pdf

Fractal Aspects of Materials

Author : David A. Weitz,Leonard M. Sander,Benoit B. Mandelbrot
Publisher : Unknown
Page : 382 pages
File Size : 41,7 Mb
Release : 1988
Category : Fractals
ISBN : UOM:39015032285077

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Fractal Aspects of Materials by David A. Weitz,Leonard M. Sander,Benoit B. Mandelbrot Pdf

Scaling Phenomena in Disordered Systems

Author : Roger Pynn,Arne Skjeltorp
Publisher : Springer Science & Business Media
Page : 569 pages
File Size : 52,8 Mb
Release : 2013-11-21
Category : Technology & Engineering
ISBN : 9781475714029

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Scaling Phenomena in Disordered Systems by Roger Pynn,Arne Skjeltorp Pdf

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.

Fractal Concepts in Condensed Matter Physics

Author : Tsuneyoshi Nakayama,Kousuke Yakubo
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 51,7 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662051931

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Fractal Concepts in Condensed Matter Physics by Tsuneyoshi Nakayama,Kousuke Yakubo Pdf

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, Diffusion, and Relaxation in Disordered Complex Systems

Author : Yuri P. Kalmykov,William T. Coffey,Stuart A. Rice
Publisher : John Wiley & Sons
Page : 592 pages
File Size : 55,9 Mb
Release : 2006-07-21
Category : Science
ISBN : 9780470037133

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Fractals, Diffusion, and Relaxation in Disordered Complex Systems by Yuri P. Kalmykov,William T. Coffey,Stuart A. Rice Pdf

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, Diffusion, and Relaxation in Disordered Complex Systems

Author : Yuri P. Kalmykov,William T. Coffey,Stuart A. Rice
Publisher : John Wiley & Sons
Page : 432 pages
File Size : 46,7 Mb
Release : 2006-07-18
Category : Science
ISBN : 9780471790259

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Fractals, Diffusion, and Relaxation in Disordered Complex Systems by Yuri P. Kalmykov,William T. Coffey,Stuart A. Rice Pdf

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, Diffusion and Relaxation in Disordered Complex Systems

Author : William T. Coffey,Yu. P. Kalmykov
Publisher : Unknown
Page : 764 pages
File Size : 45,7 Mb
Release : 2006
Category : Chemistry, Physical and theoretical
ISBN : STANFORD:36105126917512

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Fractals, Diffusion and Relaxation in Disordered Complex Systems by William T. Coffey,Yu. P. Kalmykov Pdf

Scaling and Disordered Systems

Author : Fereydoon Family
Publisher : World Scientific
Page : 364 pages
File Size : 46,7 Mb
Release : 2002
Category : Technology & Engineering
ISBN : 9810248385

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Scaling and Disordered Systems by Fereydoon Family Pdf

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.

Time-Dependent Effects in Disordered Materials

Author : Roger Pynn
Publisher : Springer Science & Business Media
Page : 497 pages
File Size : 49,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781468474763

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Time-Dependent Effects in Disordered Materials by Roger Pynn Pdf

This volume comprised the proceedings of a NATO Advanced Study Institute held in Geilo, Norway between 29 March and 9 April 1987. Al though the principal support for the meeting was provided by the NATO Cornrni ttee for Scientific Affairs, a number of additional sponsors also contributed. Additional funds were received from: Institutt for Energiteknikk (Norway) The Norwegian Research Council for Science and Humanities NORDITA (Denmark) VISTA (Norway) The organizing cornrni ttee would like to take this opportunity to thank all sponsors for their help in promoting an exciting and rewarding meeting. This Study Institute was the ninth of a series of meetings held in Geilo on subjects related to phase transitions and was a natural successor to the 1985 meeting on Scaling Phenomena in Disordered Systems. Many of the subjects discussed at the latter meeting were revisited in 1987, with time dependence as an added feature. Often the common theme was the concept of fractals first introduced into statistical physics some six years ago. However, by no means all disordered systems can be forced into a fractal framework, and many of the lectures reinforced this lesson.

Disordered Materials and Interfaces: Volume 407

Author : Herman Z. Cummins
Publisher : Unknown
Page : 450 pages
File Size : 45,7 Mb
Release : 1996-03-26
Category : Science
ISBN : UOM:39015037345850

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Disordered Materials and Interfaces: Volume 407 by Herman Z. Cummins Pdf

This book focuses on the fractal aspects of materials and disordered systems. Disorder plays a critical role in many naturally occurring and manufactured materials, both at the microscopic level (e.g., glasses) and the macroscopic level (e.g., foams, dendritic alloys, porous rock). The book addresses the dynamical processes involved in the formation and characterization of a wide range of disordered materials. Topics include: porous media; colloids; chemical reactions; dynamical aspects of the liquid-glass transition; disordered materials and surfaces and scaling and nanostructures.

Fractals in Physics

Author : L. Pietronero,E. Tosatti
Publisher : Elsevier
Page : 489 pages
File Size : 44,7 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598417

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Fractals in Physics by L. Pietronero,E. Tosatti Pdf

The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of the critical properties of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Symposium was to provide an overview of the physical phenomena that manifest scale invariance and fractal properties with the aim of bringing out the common mathematical features. The emphasis was on theoretical and experimental work related to well defined physical phenomena.

Scaling and Disordered Systems

Author : Fereydoon Family,Mohamed Daoud,Hans J Herrmann,H Eugene Stanley
Publisher : World Scientific
Page : 360 pages
File Size : 46,8 Mb
Release : 2002-05-30
Category : Science
ISBN : 9789814489492

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Scaling and Disordered Systems by Fereydoon Family,Mohamed Daoud,Hans J Herrmann,H Eugene Stanley Pdf

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. Contents:Fractal Dimensions and Corrections to Scaling for Critical Potts Clusters (A Aharony & J Asikainen)Scaling and Finite-Size Effects for the Critical Backbone (M Barthelem et al.)Percolation and Critical Phenomena of an Attractive Micellar System (F Mallamace et al.)Critical Fluctuations in the Breakdown of Disordered Systems (A Petri)Compaction of Granular Matter: A Short Review, and the Random Tetris Model (A Barrat & V Loreto)Why Conductivity Decreases with Pressure in Ion-Doped Polymers (J T Bendler et al.)Lack of Equilibration in a Model for Continuously Supercooled Liquids (F Corberi & A Coniglio)Vortex Matter out of Equilibrium (M Nicodemi)Scaling in the Atmosphere: On Global Laws of Persistence and Tests of Climate Models (A Bunde & S Havlin)Nonlinear Relaxation in Population Dynamics (M A Cirone et al.)Scaling in Cosmic Structures (L Pietronero et al.)Effect of Damage on the Roughness of Planar Cracks: The Case of the Random Fuse Model (S Zapperi et al.)and other papers Readership: Specialists as well as graduate and postdoctoral students in condensed-matter and statistical physics. Keywords:Disordered Systems;Critical Phenomena;Slow Dynamics;Scaling Concepts;Dynamical Properties;Fractal Concepts;Condensed Matter Physics;Statistical Physics;Fractals;Renormalization Group;Phase Transitions;Growth Phenomena;Scaling Phenomena;Collective Behavior;Materials Physics;Dynamical Phenomena

Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems

Author : Nicola Senesi,Kevin J. Wilkinson
Publisher : John Wiley & Sons
Page : 340 pages
File Size : 50,9 Mb
Release : 2008-09-15
Category : Science
ISBN : 9780470511190

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Biophysical Chemistry of Fractal Structures and Processes in Environmental Systems by Nicola Senesi,Kevin J. Wilkinson Pdf

This book aims to provide the scientific community with a novel and valuable approach based on fractal geometry concepts on the important properties and processes of diverse environmental systems. The interpretation of complex environmental systems using modern fractal approaches is compared and contrasted with the more classical approaches. The book will provide the fundamental knowledge necessary for solving practical environmental problems. Furthermore, it examinea how the fractal approach has been applied in order to understand the structure and reactivity of natural, environmental systems including flocs, sediments, soils, microorganisms and humic substances.