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Author : Paul Meakin
Publisher : Cambridge University Press
Page : 700 pages
File Size : 50,9 Mb
Release : 1998
Category : Mathematics
ISBN : 0521452538
A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.
Author : Tamas Vicsek
Publisher : World Scientific
Page : 528 pages
File Size : 49,8 Mb
Release : 1992-06-25
Category : Science
ISBN : 9789814506199
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 : Matthew Pelliccione,Toh-Ming Lu
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 45,9 Mb
Release : 2008-01-29
Category : Technology & Engineering
ISBN : 9780387751092
The focus of this book is on modeling and simulations used in research on the morphological evolution during film growth. The authors emphasize the detailed mathematical formulation of the problem. The book will enable readers themselves to set up a computational program to investigate specific topics of interest in thin film deposition. It will benefit those working in any discipline that requires an understanding of thin film growth processes.
Author : Elka Korutcheva
Publisher : Nova Publishers
Page : 394 pages
File Size : 55,9 Mb
Release : 2004
Category : Science
ISBN : 1590338995
This book collects recent results in systems whose evolutions are dominated by fluctuations, driven systems in which the way to dissipate driving forces is relevant, and systems in which disorder induces highly non-trivial dynamics leading naturally to questions of computational complexity. Topics of the 14 papers include multiplicative noise in non-equilibrium phase transitions, the stochastic population dynamics of spiking neurons, anomalous velocity distributions in elastic Maxwell gases, universality issues in surface kinetic roughening of thin solid films, and multi-state neural networks based upon spin glasses. Some of the chapters have appeared in the arXiv.org database. No information is given about the authors. Annotation : 2004 Book News, Inc., Portland, OR (booknews.com).
Author : Miroslav M Novak
Publisher : World Scientific
Page : 456 pages
File Size : 53,7 Mb
Release : 2002-02-04
Category : Science
ISBN : 9789814488877
This book, based on presentations made at the international conference Fractals 2002, is of interest to everyone in the general field of nonlinear dynamics. The abundance of papers from numerous disciplines makes it exciting reading and provides a unifying thread through the topics, such as ray tracing, structure of peptides, modeling fractal surfaces, cancer growth, macaque monkey cortical neurons, occurrence of earthquakes, and patterns of the World Wide Web. Contents: Modeling Cerebellar Dynamics (M G Velarde et al.)Two and Three Dimensional Computer Simulation of Cancer Growth (S Flores Ascencio et al.)Structural and Dynamic Complexity of an Elastin-Related Peptide (A Bonelli et al.)Cumulative Effective Hölder Exponent Based Indicator for Real-Time Fetal Heartbeat Analysis During Labour (Z R Struzik & W J van Wijngaarden)Fractal Features in the Nonstationarity of Physiological Time Series (P Ch Ivanov et al.)Fractal Analysis of Aggregates of Non-Uniformly Sized Particles: An Application to Macaque Monkey Cortical Pyramidal Neurons (B I Henry et al.)Dynamics of Solar Magnetic Field from Synoptic Charts (N G Makarenko & L M Karimova)Side-Branching in the Nonlinear Zone: A Self-Similar Region in Dendritic Crystal Growth (R González-Cinca)and other papers Readership: Researchers in nonlinear science. Keywords:
Author : Miroslav M Novak
Publisher : World Scientific
Page : 322 pages
File Size : 44,6 Mb
Release : 2000-04-18
Category : Electronic
ISBN : 9789814542944
Every reader will find something of interest in this book — from superdiffusion of the ocean surface to fetal heartbeats, from solar wind to the wearing-out of tools, from radioactive contamination to texture analysis, from image rendering to neural developments. The all-pervading link connecting these disparate disciplines is the realization that a linear approach to the majority of natural processes is at best only an approximation that can frequently be downright misleading. Consequently, the rise of what is broadly called the theory of complexity has gained tremendous momentum in the last decade or two. This modern approach aims at, and frequently succeeds in, correctly explaining many natural processes.The papers in this volume are based on presentations of the sixth international conference exploring the above-mentioned issues. These conferences are now regular and well established among the nonlinear series of conferences. This conference series is organized in different geographical regions, to encourage international collaboration. Among the distinguishing features of the series is its multidisciplinary nature, which has been growing steadily.
Author : Sabine Roller,Katharina Benkert,Martin Galle,Wolfgang Bez,Hiroaki Kobayashi
Publisher : Springer Science & Business Media
Page : 251 pages
File Size : 50,9 Mb
Release : 2009-10-07
Category : Mathematics
ISBN : 9783642039133
This book covers the results of the Tera op Workbench, other projects related to High Performance Computing, and the usage of HPC installations at HLRS. The Tera op Workbench project is a collaboration between the High Performance C- puting Center Stuttgart (HLRS) and NEC Deutschland GmbH (NEC-HPCE) to s- port users in achieving their research goals using High Performance Computing. The rst stage of the Tera op Workbench project (2004–2008) concentrated on user’s applications and their optimization for the former ag ship of HLRS, a - node NEC SX-8 installation. During this stage, numerous individual codes, dev- oped and maintained by researchers or commercial organizations, have been a- lyzed and optimized. Within the project, several of the codes have shown the ability to outreach the TFlop/s threshold of sustained performance. This created the pos- bility for new science and a deeper understanding of the underlying physics. The second stage of the Tera op Workbench project (2008–2012) focuses on c- rent and future trends of hardware and software developments. We observe a strong tendency to heterogeneous environments on the hardware level, while at the same time, applications become increasingly heterogeneous by including multi-physics or multi-scale effects. The goal of the current studies of the Tera op Workbench is to gain insight in the developments of both components. The overall target is to help scientists to run their application in the most ef cient and most convenient way on the hardware best suited for their purposes.
Author : G. Banerjee,K. Sundaram,V. Desai,Y. Obeng
Publisher : The Electrochemical Society
Page : 91 pages
File Size : 47,7 Mb
Release : 2008-05
Category : Science
ISBN : 9781566776295
The papers included in this issue of ECS Transactions were originally presented in the symposium ¿Chemical Mechanical Polishing 9¿, held during the 213th meeting of The Electrochemical Society, in Phoenix, Arizona from May 18-23, 2008.
Author : Fernando Brambila
Publisher : BoD – Books on Demand
Page : 228 pages
File Size : 41,6 Mb
Release : 2017-07-26
Category : Medical
ISBN : 9789535132134
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book. Here we present the use of fractal geometry, in particular, fractal analysis in two sciences: health sciences and social sciences and humanities. Part 1 is Health Science. In it, we present the latest advances in cardiovascular signs, kidney images to determine cancer growth, EEG signals, magnetoencephalography signals, and photosensitive epilepsy. We show how it is possible to produce ultrasonic lenses or even sound focusing. In Part 2, we present the use of fractal analysis in social sciences and humanities. It includes anthropology, hierarchical scaling, human settlements, language, fractal dimension of different cultures, cultural traits, and Mesoamerican complexity. And in Part 3, we present a few useful tools for fractal analysis, such as graphs and correlation, self-affine and self-similar graphs, and correlation function. It is impossible to picture today's research without fractal geometry.
Author : Bruce West,Mauro Bologna,Paolo Grigolini
Publisher : Springer Science & Business Media
Page : 355 pages
File Size : 43,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9780387217468
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 : Daniel ben-Avraham,Shlomo Havlin
Publisher : Cambridge University Press
Page : 334 pages
File Size : 51,9 Mb
Release : 2000-11-02
Category : Mathematics
ISBN : 9780521622783
This book describes diffusion and transport in disordered media such as fractals and random resistor networks.
Author : Zexian Cao
Publisher : Elsevier
Page : 433 pages
File Size : 49,9 Mb
Release : 2011-07-18
Category : Technology & Engineering
ISBN : 9780857093295
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,Pei Wang
Publisher : Springer
Page : 293 pages
File Size : 50,8 Mb
Release : 2018-04-21
Category : Technology & Engineering
ISBN : 9789811070501
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
Page : 364 pages
File Size : 40,6 Mb
Release : 2002
Category : Technology & Engineering
ISBN : 9810248385
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,Erik Elmroth,Jack Dongarra,Jerzy Wasniewski
Publisher : Springer
Page : 1192 pages
File Size : 47,9 Mb
Release : 2007-09-22
Category : Computers
ISBN : 9783540757559
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.
