Pattern Formation In Diffusion Limited Crystal Growth

Author : Klaus Kassner
Publisher : World Scientific
Page : 274 pages
File Size : 47,9 Mb
Release : 1996
Category : Science
ISBN : 9810215320

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Pattern Formation in Diffusion-limited Crystal Growth by Klaus Kassner Pdf

This book reviews the current state of the theory of pattern formation by a liquid-solid interface during crystal growth. It gives a pedagogical introduction to the subject, including experimental results, mathematical modeling and linear stability analysis. After highlighting the success of the theory in resolving the selection problem of dendritic growth, various new directions of research are presented in which progress has been made recently. These are the formation of nondendritic seaweed-like structures, growth of lamellar eutectics and rapid solidification. The interplay between analytic methods on the one hand (scaling arguments, asymptotic analysis, similarity equation, Sivashinsky singular expansion) and numerical calculations on the other (Newton method, dynamical schemes) is emphasized.

Author : Yukio Saito
Publisher : World Scientific
Page : 191 pages
File Size : 53,5 Mb
Release : 1996
Category : Science
ISBN : 9789810228347

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Statistical Physics of Crystal Growth by Yukio Saito Pdf

This book gives a systematic overview on the scientific fundamentals of crystal growth from the classical phenomenological description to the recent theoretical contributions of statistical physics such as studies on surface roughening and on the pattern formation in the diffusion-limited growth.The book emphasizes physical concepts as well as mathematical details, and is intended to serve as lecture notes for postgraduate courses.

Author : Rohit Srivastava,Narendra Yadav,Jayeeta Chattopadhyay
Publisher : Springer
Page : 65 pages
File Size : 48,9 Mb
Release : 2016-04-12
Category : Science
ISBN : 9789811008641

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Growth and Form of Self-organized Branched Crystal Pattern in Nonlinear Chemical System by Rohit Srivastava,Narendra Yadav,Jayeeta Chattopadhyay Pdf

The book introduces the oscillatory reaction and pattern formation in the Belousov-Zhabotinsky (BZ) reaction that became model for investigating a wide range of intriguing pattern formations in chemical systems. So many modifications in classic version of BZ reaction have been carried out in various experimental conditions that demonstrate rich varieties of temporal oscillations and spatio-temporal patterns in non- equilibrium conditions. Mixed-mode versions of BZ reactions, which comprise a pair of organic substrates or dual metal catalysts, have displayed very complex oscillating behaviours and novel space-time patterns during reaction processes. These characteristic spatio-temporal properties of BZ reactions have attracted increasing attention of the scientific community in recent years because of its comparable periodic structures in electrochemical systems, polymerization processes, and non-equilibrium crystallization phenomena. Instead, non-equilibrium crystallization phenomena which lead to development of novel crystal morphologies in constraint of thermodynamic equilibrium conditions have been investigated and are said to be stationary periodic structures. Efforts have continued to analyze insight mechanisms and roles of reaction-diffusion mechanism and self-organization in the growth of such periodic crystal patterns. In this book, non-equilibrium crystallization phenomena, leading to growth of some novel crystal patterns in dual organic substrate modes of oscillatory BZ reactions have been discussed. Efforts have been made to find out experimental parameters where transitions of the spherulitic crystal patterns take place. The book provides the scientific community and entrepreneurs with a thorough understanding and knowledge of the growth and form of branched crystal pattern in reaction-diffusion system and their morphological transition.

Author : S Kai
Publisher : World Scientific
Page : 596 pages
File Size : 43,7 Mb
Release : 1992-09-15
Category : Electronic
ISBN : 9789814555333

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Pattern Formation In Complex Dissipative Systems: Fluid Patterns, Liquid Crystals, Chemical Reactions by S Kai Pdf

In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.

Author : Shuichi Kinoshita
Publisher : Newnes
Page : 274 pages
File Size : 49,8 Mb
Release : 2013-05-09
Category : Science
ISBN : 9780123972996

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Pattern Formations and Oscillatory Phenomena by Shuichi Kinoshita Pdf

Patterns and their formations appear throughout nature, and are studied to analyze different problems in science and make predictions across a wide range of disciplines including biology, physics, mathematics, chemistry, material science, and nanoscience. With the emergence of nanoscience and the ability for researchers and scientists to study living systems at the biological level, pattern formation research has become even more essential. This book is an accessible first of its kind guide for scientists, researchers, engineers, and students who require a general introduction to this research area, in order to gain a deeper analytical understanding of the most recent observations and experiments by top researchers in physics. Pattern Formations describes the most up-to-date status of this developing field and analyzes the physical phenomena behind a wide range of interesting topics commonly known in the scientific community. The study of pattern formations as a research field will continue to grow as scientists expand their understanding of naturally occurring patterns and mimic nature to help solve complex problems. This research area is becoming more highly recognized due to its contributions to signal processing, computer analysis, image processing, complex networks development, advancements in optics and photonics, crystallography, metallurgy, drug delivery (chemotherapy) and the further understanding of gene regulation. The only introductory reference book which places special emphasis on the theoretical analyses of experiments in this rapidly growing field of pattern formation A wide range of physical applications make this book highly interdisciplinary Explanations of observations and experiments deepen the readers understanding of this developing research field

Author : Yukio Saito
Publisher : World Scientific
Page : 191 pages
File Size : 46,5 Mb
Release : 1996
Category : Crystal growth
ISBN : 9789812386281

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Statistical Physics of Crystal Growth by Yukio Saito Pdf

This book gives a systematic overview on the scientific fundamentals of crystal growth from the classical phenomenological description to the recent theoretical contributions of statistical physics such as studies on surface roughening and on the pattern formation in the diffusion-limited growth. The book emphasizes physical concepts as well as mathematical details, and is intended to serve as lecture notes for postgraduate courses. Contents: Introduction; Ideal Growth Laws; Statistical Mechanics of Surface; Kinetics-Limited Growth; Diffusion-Limited Growth: Pattern Formation; Appendices; References; Index. Readership: Condensed matter physicists.

Author : Andreas Deutsch,Sabine Dormann
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 52,7 Mb
Release : 2007-12-26
Category : Science
ISBN : 9780817644154

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Cellular Automaton Modeling of Biological Pattern Formation by Andreas Deutsch,Sabine Dormann Pdf

This book focuses on a challenging application field of cellular automata: pattern formation in biological systems, such as the growth of microorganisms, dynamics of cellular tissue and tumors, and formation of pigment cell patterns. These phenomena, resulting from complex cellular interactions, cannot be deduced solely from experimental analysis, but can be more easily examined using mathematical models, in particular, cellular automaton models. While there are various books treating cellular automaton modeling, this interdisciplinary work is the first one covering biological applications. The book is aimed at researchers, practitioners, and students in applied mathematics, mathematical biology, computational physics, bioengineering, and computer science interested in a cellular automaton approach to biological modeling.

Author : Pierre Colinet,Alexander Nepomnyashchy
Publisher : Springer Science & Business Media
Page : 304 pages
File Size : 51,5 Mb
Release : 2010-03-26
Category : Technology & Engineering
ISBN : 9783709101254

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Pattern Formation at Interfaces by Pierre Colinet,Alexander Nepomnyashchy Pdf

The book deals with modern methods of nonlinear stability theory applied to problems of continuous media mechanics in the presence of interfaces, with applications to materials science, chemical engineering, heat transfer technologies, as well as in combustion and other reaction-diffusion systems. Interfaces play a dominant role at small scales, and their correct modeling is therefore also crucial in the rapidly expanding fields of microfluidics and nanotechnologies. To this aim, the book combines contributions of eminent specialists in the field, with a special emphasis on rigorous and predictive approaches. Other goals of this volume are to allow the reader to identify key problems of high scientific value, and to see the similarity between a variety of seemingly different physical problems.

Author : B. Jamtveit,P. Meakin
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 50,9 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401591799

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Growth, Dissolution and Pattern Formation in Geosystems by B. Jamtveit,P. Meakin Pdf

This book is the proceedings of the 11th Kongsberg seminar, held at the Norwegian Mining Museum in the city of Kongsberg, about 70 km Southwest of Oslo. The Kongs berg district is known for numerous Permian vein deposits, rich in native silver. Mining activity in the area lasted for more than 300 years, finally ceasing in 1957. The first eight Kongsberg seminars, organized by professor Arne Bj0rlykke, now director of the Norwegian Geological Survey, were focused on ore-forming processes. These seminars have always been a meeting point for people with a variety of geological backgrounds. Since 1995, the Kongsberg seminars have focussed on geological processes, rather than on specific geological systems, and the selection of invited speakers has been strongly influenced by their interest in the dynamics of geological systems. In 1995 and 1996, various aspects of fluid flow and transport in rocks, were emphasized. The first "Kongsberg proceedings" (of the 1995 seminar) published by Chapman and Hall (Jamtveit and Yardley, 1997) contained 17 chapters dealing with a wide range of topics from field based studies of the effects of fluid flow in sedimentary and metamorphic rocks to computer simulations of flow in complex porous and fractured media. In 1997, the focus was changed to growth, and dissolution processes in geological systems.

Author : Kyozi Kawasaki,Masuo Suzuki,Akira Ōnuki
Publisher : World Scientific Publishing Company Incorporated
Page : 367 pages
File Size : 47,9 Mb
Release : 1990-01-01
Category : Computers
ISBN : 9810201702

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Formation, Dynamics, and Statistics of Patterns by Kyozi Kawasaki,Masuo Suzuki,Akira Ōnuki Pdf

The first in a series of volumes reviewing the results of an ongoing interdisciplinary research project on the title subject under the sponsorship of the Research Institute for Fundamental Physics at Kyoto U. Discusses the current status of pattern research with emphasis on real phenomena and new theoretical concepts; and interdisciplinary subjects involving statistical physics, condensed matter physics, fluid mechanics, nonequilibrium and nonlinear phenomena. No index. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Yoshihisa Ito,Ichiro Kawakami,Kimiaki Konno,Yutaka Matunaga,Ippei Shimada,Takashi Tsubokawa
Publisher : World Scientific
Page : 278 pages
File Size : 44,7 Mb
Release : 1998-04-30
Category : Electronic
ISBN : 9789814545112

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Order And Non-order: Proceedings Of The 19th Nihon Univ International Symposium by Yoshihisa Ito,Ichiro Kawakami,Kimiaki Konno,Yutaka Matunaga,Ippei Shimada,Takashi Tsubokawa Pdf

The 19th Nihon University International Symposium on Order and Non-Order was held as a summary and conclusion of a three-year (1994-1997) research project. Interdisciplinary in nature, it features lectures by invited experts and are characterized by words such as chaos, fractal, soliton, self-organization, neural function, neural network and complex systems.

Author : Patrick Oswald,Pawel Pieranski
Publisher : CRC Press
Page : 618 pages
File Size : 44,8 Mb
Release : 2018-10-03
Category : Science
ISBN : 9781482275285

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Liquid Crystals by Patrick Oswald,Pawel Pieranski Pdf

These volumes are a result of the personal research and graduate lectures given by the authors at the ecole Normale Superieure de Lyon and the University of Paris VII, respectively. Featuring an easy-to-follow, accessible style, each volume describes important concepts and physical properties using classroom-friendly experiments, many of which the

Author : Patrick Oswald,Pawel Pieranski
Publisher : CRC Press
Page : 624 pages
File Size : 48,7 Mb
Release : 2005-02-28
Category : Science
ISBN : 9780203023013

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Nematic and Cholesteric Liquid Crystals by Patrick Oswald,Pawel Pieranski Pdf

Liquid crystals allow us to perform experiments that provide insight into fundamental problems of modern physics, such as phase transitions, frustration, elasticity, hydrodynamics, defects, growth phenomena, and optics (linear and non linear). This excellent volume meets the need for an up-to-date text on liquid crystals.Nematic and Cholesteric Liq

Author : Jian-Jun Xu
Publisher : Springer
Page : 591 pages
File Size : 54,8 Mb
Release : 2017-05-23
Category : Science
ISBN : 9783319526638

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Interfacial Wave Theory of Pattern Formation in Solidification by Jian-Jun Xu Pdf

This comprehensive work explores interfacial instability and pattern formation in dynamic systems away from the equilibrium state in solidification and crystal growth. Further, this significantly expanded 2nd edition introduces and reviews the progress made during the last two decades. In particular, it describes the most prominent pattern formation phenomena commonly observed in material processing and crystal growth in the framework of the previously established interfacial wave theory, including free dendritic growth from undercooled melt, cellular growth and eutectic growth in directional solidification, as well as viscous fingering in Hele-Shaw flow. It elucidates the key problems, systematically derives their mathematical solutions by pursuing a unified, asymptotic approach, and finally carefully examines these results by comparing them with the available experimental results. The asymptotic approach described here will be useful for the investigation of pattern formation phenomena occurring in a much broader class of inhomogeneous dynamical systems. In addition, the results on global stability and selection mechanisms of pattern formation will be of particular interest to researchers working on material processing and crystal growth. The stability mechanisms of a curved front and the pattern formation have been fundamental subjects in the areas of condensed-matter physics, materials science, crystal growth, and fluid mechanics for some time now. This book offers a stimulating and insightful introduction for all physicists, engineers and applied mathematicians working in the fields of soft condensed-matter physics, materials science, mechanical and chemical engineering, fluid dynamics, and nonlinear sciences.

Author : Dongkai Shangguan
Publisher : Springer
Page : 236 pages
File Size : 52,8 Mb
Release : 1991
Category : Science
ISBN : UCSD:31822016253957

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Cellular Growth of Crystals by Dongkai Shangguan Pdf