Fractals, Scaling and Growth Far from Equilibrium PDF Download

Author: Paul Meakin
Publisher: Cambridge University Press
ISBN: 9780521452533
Category : Mathematics
Languages : en
Pages : 700

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

Author: Tam s Vicsek
Publisher: World Scientific
ISBN: 9789810206680
Category : Mathematics
Languages : en
Pages : 542

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Book Description
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.

Author: Bruce West
Publisher: Springer Science & Business Media
ISBN: 0387217460
Category : Science
Languages : en
Pages : 355

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Book Description
This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

Author:
Publisher: Elsevier
ISBN: 0080531385
Category : Technology & Engineering
Languages : en
Pages : 437

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Book Description
The structure of a growth or an etch front on a surface is not only a subject of great interest from the practical point of view but also is of fundamental scientific interest. Very often surfaces are created under non-equilibrium conditions such that the morphology is not always smooth. In addition to a detailed description of the characteristics of random rough surfaces, Experimental Methods in the Physical Sciences, Volume 37, Characterization of Amorphous and Crystalline Rough Surface-Principles and Applications will focus on the basic principles of real and diffraction techniques for quantitative characterization of the rough surfaces. The book thus includes the latest development on the characterization and measurements of a wide variety of rough surfaces. The complementary nature of the real space and diffraction techniques is fully displayed.Key Features* An accessible description of quantitative characterization of random rough surfaces and growth/etch fronts* A detailed description of the principles, experimentation, and limitations of advanced real-space imaging techniques (such as atomic force microscopy) and diffraction techniques (such as light scattering, X-ray diffraction, and electron diffraction)* Characterization of a variety of rough surfaces (e.g., self-affine, mounded, anisotropic, and two-level surfaces) accompanied by quantitative examples to illustrate the essence of the principles* An insightful description of how rough surfaces are formed* Presentation of the most recent examples of the applications of rough surfaces in various areas

Author: Daniel ben-Avraham
Publisher: Cambridge University Press
ISBN: 0521622786
Category : Mathematics
Languages : en
Pages : 334

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

Author: Zexian Cao
Publisher: Elsevier
ISBN: 0857093290
Category : Technology & Engineering
Languages : en
Pages : 433

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Book Description
Thin film technology is used in many applications such as microelectronics, optics, hard and corrosion resistant coatings and micromechanics, and thin films form a uniquely versatile material base for the development of novel technologies within these industries. Thin film growth provides an important and up-to-date review of the theory and deposition techniques used in the formation of thin films.Part one focuses on the theory of thin film growth, with chapters covering nucleation and growth processes in thin films, phase-field modelling of thin film growth and surface roughness evolution. Part two covers some of the techniques used for thin film growth, including oblique angle deposition, reactive magnetron sputtering and epitaxial growth of graphene films on single crystal metal surfaces. This section also includes chapters on the properties of thin films, covering topics such as substrate plasticity and buckling of thin films, polarity control, nanostructure growth dynamics and network behaviour in thin films.With its distinguished editor and international team of contributors, Thin film growth is an essential reference for engineers in electronics, energy materials and mechanical engineering, as well as those with an academic research interest in the topic. - Provides an important and up-to-date review of the theory and deposition techniques used in the formation of thin films - Focusses on the theory and modelling of thin film growth, techniques and mechanisms used for thin film growth and properties of thin films - An essential reference for engineers in electronics, energy materials and mechanical engineering

Author: Shu-Tang Liu
Publisher: Springer
ISBN: 9811070504
Category : Technology & Engineering
Languages : en
Pages : 300

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Book Description
This book focuses on the control of fractal behaviors in nonlinear dynamics systems, addressing both the principles and purposes of control. For fractals in different systems, it presents revealing studies on the theory and applications of control, reflecting a spectrum of different control methods used with engineering technology. As such, it will benefit researchers, engineers, and graduate students in fields of fractals, chaos, engineering, etc.

Author: Fereydoon Family
Publisher: World Scientific
ISBN: 9789810248383
Category : Technology & Engineering
Languages : en
Pages : 364

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Book Description
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.

Author: Bo Kagström
Publisher: Springer
ISBN: 3540757554
Category : Computers
Languages : en
Pages : 1218

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Book Description
This book constitutes the thoroughly refereed post-proceedings of the 8th International Workshop on Applied Parallel Computing, PARA 2006. It covers partial differential equations, parallel scientific computing algorithms, linear algebra, simulation environments, algorithms and applications for blue gene/L, scientific computing tools and applications, parallel search algorithms, peer-to-peer computing, mobility and security, algorithms for single-chip multiprocessors.

Author: Duan Feng
Publisher: World Scientific
ISBN: 9812387110
Category : Science
Languages : en
Pages : 612

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Book Description
This is volume 1 of two-volume book that presents an excellent, comprehensive exposition of the multi-faceted subjects of modern condensed matter physics, unified within an original and coherent conceptual framework. Traditional subjects such as band theory and lattice dynamics are tightly organized in this framework, while many new developments emerge spontaneously from it. In this volume,? Basic concepts are emphasized; usually they are intuitively introduced, then more precisely formulated, and compared with correlated concepts.? A plethora of new topics, such as quasicrystals, photonic crystals, GMR, TMR, CMR, high Tc superconductors, Bose-Einstein condensation, etc., are presented with sharp physical insights.? Bond and band approaches are discussed in parallel, breaking the barrier between physics and chemistry.? A highly accessible chapter is included on correlated electronic states ? rarely found in an introductory text.? Introductory chapters on tunneling, mesoscopic phenomena, and quantum-confined nanostructures constitute a sound foundation for nanoscience and nanotechnology.? The text is profusely illustrated with about 500 figures.