Simulation Of Fractal Aggregates By The Diffusion Limited Aggregation Model

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Fractal Growth Phenomena

Author : Tam s Vicsek
Publisher : World Scientific
ISBN 13 : 9789810206680
Total Pages : 542 pages
Book Rating : 4.2/5 (66 download)

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Book Synopsis Fractal Growth Phenomena by : Tam s Vicsek

Download or read book Fractal Growth Phenomena written by Tam s Vicsek and published by World Scientific. This book was released on 1992 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and biological processes have been shown to be related to and described by objects with non-integer dimensions. The physics of far-from-equilibrium growth phenomena represents one of the most important fields in which fractal geometry is widely applied. During the last couple of years considerable experimental, numerical and theoretical information has accumulated concerning such processes. This book, written by a well-known expert in the field, summarizes the basic concepts born in the studies of fractal growth and also presents some of the most important new results for more specialized readers. It also contains 15 beautiful color plates demonstrating the richness of the geometry of fractal patterns. Accordingly, it may serve as a textbook on the geometrical aspects of fractal growth and it treats this area in sufficient depth to make it useful as a reference book. No specific mathematical knowledge is required for reading this book which is intended to give a balanced account of the field.

Particulate Carbon

Author : Donald Siegla
Publisher : Springer Science & Business Media
ISBN 13 : 1475761376
Total Pages : 500 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Particulate Carbon by : Donald Siegla

Download or read book Particulate Carbon written by Donald Siegla and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the symposium, "Particulate Carbon: Formation During Combustion", held at the General Motors Research Laboratories on October 15 and 16, 1980, was to discuss fundamental aspects of soot formation and oxidation in combustion systems and to stimulate new research by extensive interactions among the participants. This book contains lhe papers and discussions of that symposium, the 26th in an annual series covering many different disciplines which are timely and of interest to both General Motors and the technical community at large. The subject of this symposium has considerable relevance for man in his effort to control and preserve his environment. Emission of particulate carbon into the atmos phere from combustion sources is of concern to scientists and laymen alike. The hope of reducing this emission clearly requires an understanding of its formation during the combustion process, itself an area of considerable long-term research interest. It is our hope that this symposium has served to summarize what is known so that what remains to be learned can be pursued with greater vigor.

Aggregation and Fractal Aggregates

Author : R. Jullien
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789971502485
Total Pages : 120 pages
Book Rating : 4.5/5 (24 download)

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Book Synopsis Aggregation and Fractal Aggregates by : R. Jullien

Download or read book Aggregation and Fractal Aggregates written by R. Jullien and published by World Scientific Publishing Company Incorporated. This book was released on 1987-01 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kinetics of Aggregation and Gelation

Author : F. Family
Publisher : Elsevier
ISBN 13 : 0444596585
Total Pages : 295 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Kinetics of Aggregation and Gelation by : F. Family

Download or read book Kinetics of Aggregation and Gelation written by F. Family and published by Elsevier. This book was released on 2012-12-02 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetics of Aggregation and Gelation presents the proceedings of the International Topical Conference on Kinetics of Aggregation and Gelation held on April 2-4, 1984 in Athens, Georgia. The purpose of the conference was to bring together international experts from a wide variety of backgrounds who are studying phenomena inherently similar to the formation of large clusters by the union of many separate, small elements, to present and exchange ideas on new theories and results of experimental and computer simulations. This book is divided into 57 chapters, each of which represents an oral presentation that is part of a unified whole. The book begins with a presentation on fractal concepts in aggregation and gelation, followed by presentations on topics such as aggregative fractals called ""squigs""; multi-particle fractal aggregation; theory of fractal growth processes; self-similar structures; and interface dynamics. Other chapters cover addition polymerization and related models; the kinetic gelation model; a new model of linear polymers; red cell aggregation kinetics; the Potts Model; aggregation of colloidal silica; the ballistic model of aggregation; stochastic dynamics simulation of particle aggregation; particle-cluster aggregation; kinetic clustering of clusters; computer simulations of domain growth; and perspectives in the kinetics of aggregation and gelation. This book will be of interest to practitioners in the fields of chemistry, theoretical physics, and materials engineering.

The Computational Beauty of Nature

Author : Gary William Flake
Publisher : MIT Press
ISBN 13 : 9780262561273
Total Pages : 524 pages
Book Rating : 4.5/5 (612 download)

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Book Synopsis The Computational Beauty of Nature by : Gary William Flake

Download or read book The Computational Beauty of Nature written by Gary William Flake and published by MIT Press. This book was released on 2000-01-27 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. In this book Gary William Flake develops in depth the simple idea that recurrent rules can produce rich and complicated behaviors. Distinguishing "agents" (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as "beautiful" and "interesting." From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation. Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

Fractals, Scaling and Growth Far from Equilibrium

Author : Paul Meakin
Publisher : Cambridge University Press
ISBN 13 : 9780521452533
Total Pages : 700 pages
Book Rating : 4.4/5 (525 download)

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Book Synopsis Fractals, Scaling and Growth Far from Equilibrium by : Paul Meakin

Download or read book Fractals, Scaling and Growth Far from Equilibrium written by Paul Meakin and published by Cambridge University Press. This book was released on 1998 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Mathematics of Complexity and Dynamical Systems

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
ISBN 13 : 1461418054
Total Pages : 1885 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Mathematics of Complexity and Dynamical Systems by : Robert A. Meyers

Download or read book Mathematics of Complexity and Dynamical Systems written by Robert A. Meyers and published by Springer Science & Business Media. This book was released on 2011-10-05 with total page 1885 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Fractal Dimensions of Networks

Author : Eric Rosenberg
Publisher : Springer Nature
ISBN 13 : 303043169X
Total Pages : 530 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Fractal Dimensions of Networks by : Eric Rosenberg

Download or read book Fractal Dimensions of Networks written by Eric Rosenberg and published by Springer Nature. This book was released on 2020-07-07 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current interest in fractal dimensions of networks is the result of more than a century of previous research on dimensions. Fractal Dimensions of Networks ties the theory and methods for computing fractal dimensions of networks to the “classic” theory of dimensions of geometric objects. The goal of the book is to provide a unified treatment of fractal dimensions of sets and networks. Since almost all of the major concepts in fractal dimensions originated in the study of sets, the book achieves this goal by first clearly presenting, with an abundance of examples and illustrations, the theory and algorithms for sets, and then showing how the theory and algorithms have been applied to networks. Thus, the book presents the classical theory and algorithms for the box counting dimension for sets, and then presents the box counting dimension for networks. All the major fractal dimensions are studied, e.g., the correlation dimension, the information dimension, the Hausdorff dimension, the multifractal spectrum, as well as many lesser known dimensions. Algorithm descriptions are accompanied by worked examples, many applications of the methods are presented, and many exercises, ranging in difficulty from easy to research level, are included.

Colloidal Dispersions

Author : William Bailey Russel
Publisher : Cambridge University Press
ISBN 13 : 9780521426008
Total Pages : 548 pages
Book Rating : 4.4/5 (26 download)

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Book Synopsis Colloidal Dispersions by : William Bailey Russel

Download or read book Colloidal Dispersions written by William Bailey Russel and published by Cambridge University Press. This book was released on 1991 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the physical side of colloidal science from the individual forces acting between particles smaller than a micrometer that are suspended in a liquid, through the resulting equilibrium and dynamic properties. A variety of internal forces both attractive and repulsive act in conjunction with Brownian motion and the balance between them all decides the phase behaviour. On top of this various external fields, such as gravity or electromagnetic fields, diffusion and non-Newtonian rheology produce complex effects, each of which is of important scientific and technological interest. The authors aim to impart a sound, quantitative understanding based on fundamental theory and experiments with well-characterised model systems. This broad grasp of the fundamentals lends insight and helps to develop the intuitive sense needed to isolate essential features of the technological problems and design critical experiments. The main prerequisites for understanding the book are basic fluid mechanics, statistical mechanics and electromagnetism, though self contained reviews of each subject are provided at appropriate points. Some facility with differential equations is also necessary. Exercises are included at the end of each chapter, making the work suitable as a textbook for graduate courses in chemical engineering or applied mathematics. It will also be useful as a reference for individuals in academia or industry undertaking research in colloid science.

A Random Walk Through Fractal Dimensions

Author : Brian H. Kaye
Publisher : John Wiley & Sons
ISBN 13 : 3527615989
Total Pages : 452 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis A Random Walk Through Fractal Dimensions by : Brian H. Kaye

Download or read book A Random Walk Through Fractal Dimensions written by Brian H. Kaye and published by John Wiley & Sons. This book was released on 2008-07-11 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: "...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems." MRS Bulletin

Fractals in Physics

Author : L. Pietronero
Publisher : Elsevier
ISBN 13 : 0444598413
Total Pages : 489 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Fractals in Physics by : L. Pietronero

Download or read book Fractals in Physics written by L. Pietronero and published by Elsevier. This book was released on 2012-12-02 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals in Physics

On Growth and Form

Author : Harry Eugene Stanley
Publisher : Springer Science & Business Media
ISBN 13 : 9400951655
Total Pages : 318 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis On Growth and Form by : Harry Eugene Stanley

Download or read book On Growth and Form written by Harry Eugene Stanley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have shown that simple power-law dynamics is expected for flexible fractal objects. Although the predicted behavior is well established for linear polymers, the situationm is considerably more complex for colloidal aggregates. In the latter case, the observed K-dependence of (r) can be explained either in terms of non-asymptotic hydrodynamics or in terms of weak power-law polydispersity. In the case of powders (alumina, in particular) apparent fractal behavior seen in static scattering is not found in the dynamics. ID. W. Schaefer, J. E. Martin, P. Wiitzius, and D. S. Cannell, Phys. Rev. Lett. 52,2371 (1984). 2 J. E. Martin and D. W. Schaefer, Phys. Rev. Lett. 5:1,2457 (1984). 3 D. W. Schaefer and C. C. Han in Dynamic Light Scattering, R. Pecora ed, Plenum, NY, 1985) p. 181. 4 P. Sen, this book. S J. E. Martin and B. J. Ackerson, Phys. Rev. A :11, 1180 (1985). 6 J. E. Martin, to be published. 7 D. A. Weitz, J. S. Huang, M. Y. Lin and J. Sung, Phys. Rev. Lett. 53,1657 (1984) . 8 J. E. Martin, D. W. Schaefer and A. J. Hurd, to be published; D. W. Schaefer, K. D. Keefer, J. E. Martin, and A. J. Hurd, in Physics of Finely Divided Matter, M. Daoud, Ed., Springer Verlag, NY, 1985. 9 D. W. Schaefer and A. J. Hurd, to be published. lOJ. E. Martin, J. Appl. Cryst. (to be published).

Kinetics of Aggregation and Gelation

Author : Fereydoon Family
Publisher : North Holland
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Kinetics of Aggregation and Gelation by : Fereydoon Family

Download or read book Kinetics of Aggregation and Gelation written by Fereydoon Family and published by North Holland. This book was released on 1984 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kinetics of Aggregation and Gelation

Non-Equilibrium Phase Transitions

Author : Malte Henkel
Publisher : Springer Science & Business Media
ISBN 13 : 1402087659
Total Pages : 385 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Non-Equilibrium Phase Transitions by : Malte Henkel

Download or read book Non-Equilibrium Phase Transitions written by Malte Henkel and published by Springer Science & Business Media. This book was released on 2008-11-27 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes two main classes of non-equilibrium phase-transitions: static and dynamics of transitions into an absorbing state, and dynamical scaling in far-from-equilibrium relaxation behavior and ageing.

International Conference on Computer Applications 2012 :: Volume 02

Author : Kokula Krishna Hari K
Publisher : TECHNO FORUM R&D CENTRE
ISBN 13 : 8192057550
Total Pages : 202 pages
Book Rating : 4.1/5 (92 download)

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Book Synopsis International Conference on Computer Applications 2012 :: Volume 02 by : Kokula Krishna Hari K

Download or read book International Conference on Computer Applications 2012 :: Volume 02 written by Kokula Krishna Hari K and published by TECHNO FORUM R&D CENTRE. This book was released on with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Selected Models of the Mesostructure of Composites

Author : Alexander Herega
Publisher : Springer
ISBN 13 : 3319897047
Total Pages : 110 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis The Selected Models of the Mesostructure of Composites by : Alexander Herega

Download or read book The Selected Models of the Mesostructure of Composites written by Alexander Herega and published by Springer. This book was released on 2018-05-31 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the role of mesostructure on the properties of composite materials. A complex percolation model is developed for the material structure containing percolation clusters of phases and interior boundaries. Modeling of technological cracks and the percolation in the Sierpinski carpet are described. The interaction of mesoscopic interior boundaries of the material, including the fractal nature of interior boundaries, the oscillatory nature of it interaction and also the stochastic model of the interior boundaries’ interaction, the genesis, structure, and properties are discussed. One of part of the book introduces the percolation model of the long-range effect which is based on the notion on the multifractal clusters with transforming elements, and the theorem on the field interaction of multifractals is described. In addition small clusters, their characteristic properties and the criterion of stability are presented.

Particle Deposition and Aggregation

Author : M. Elimelech
Publisher : Butterworth-Heinemann
ISBN 13 : 1483161374
Total Pages : 458 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Particle Deposition and Aggregation by : M. Elimelech

Download or read book Particle Deposition and Aggregation written by M. Elimelech and published by Butterworth-Heinemann. This book was released on 2013-10-22 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particle Deposition and Aggregation: Measurement, Modelling and Simulation describes how particle deposition and aggregation can be measured, modeled, and simulated in a systematic manner. It brings together the necessary disciplines of colloid and surface chemistry, hydrodynamics, experimental methods, and computational methods to present a unified approach to this problem. The book is divided into four parts. Part I presents the theoretical principles governing deposition and aggregation phenomena, including a discussion of the forces that exist between particles and the hydrodynamic factors that control the movement of the particles and suspending fluid. Part II introduces methods for modeling the processes, first at a simple level (e.g. single particle-surface, single particle-single particle interactions in model flow conditions) and then describes the simulation protocols and computation tools which may be employed to describe more complex (multiple-particle interaction) systems. Part III summarizes the experimental methods of quantifying aggregating and depositing systems and concludes with a comparison of experimental results with those predicted using simple theoretical predictions. Part IV is largely based on illustrative examples to demonstrate the application of simulation and modeling methods to particle filtration, aggregation, and transport processes. This book should be useful to graduates working in process and environmental engineering research or industrial development at a postgraduate level, and to scientists who wish to extend their knowledge into more realistic process conditions in which the fluid hydrodynamics and other complicating factors must be accommodated.