Pattern Formation In Diffusion Limited Crystal Growth Beyond The Single Dendrite
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Pattern Formation In Diffusion Limited Crystal Growth Beyond The Single Dendrite
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Author : Klaus Kassner
language : en
Publisher: World Scientific
Release Date : 1996-07-04
Pattern Formation In Diffusion Limited Crystal Growth Beyond The Single Dendrite written by Klaus Kassner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-04 with Science categories.
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.
Interfacial Wave Theory Of Pattern Formation
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Author : Jian-Jun Xu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Interfacial Wave Theory Of Pattern Formation written by Jian-Jun Xu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
For the last several years, the study of interfacial instability and pattern formation phenomena has preoccupied many researchers in the broad area of nonlinear science. These phenomena occur in a variety of dynamical sys tems far from equilibrium. In many practically very important physical sys tems some fascinating patterns are always displayed at the interface between solid and liquid or between two liquids. Two prototypes of these phenomena are dendrite growth in solidification and viscous fingering in a Hele-Shaw cell. These two phenomena occur in completely different scientific fields, but both are described by similar nonlinear free boundary problems of partial differential-equation systems; the boundary conditions on the interface for both cases contain a curvature operator involving the surface tension, which is nonlinear. Moreover, both cases raise the same challenging theoretical is sues, interfacial instability mechanisms and pattern selection, and it is now found that these issues can be solved by the same analytical approach. Thus, these two phenomena are regarded as special examples of a class of nonlinear pattern formation phenomena in nature, and they are the prominent topics of the new interdisciplinary field of nonlinear science. This research monograph is based on a series of lectures I have given at McGill University, Canada (1993-1994), Northwestern Poly technical In stitute, China (1994), Aachen University, Germany (1994), and the CRM summer school at Banff, Alberta, Canada (1995).
Interfacial Wave Theory Of Pattern Formation In Solidification
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Author : Jian-Jun Xu
language : en
Publisher: Springer
Release Date : 2017-05-23
Interfacial Wave Theory Of Pattern Formation In Solidification written by Jian-Jun Xu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-23 with Science categories.
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.
Growth And Form Of Self Organized Branched Crystal Pattern In Nonlinear Chemical System
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Author : Rohit Srivastava
language : en
Publisher: Springer
Release Date : 2016-04-12
Growth And Form Of Self Organized Branched Crystal Pattern In Nonlinear Chemical System written by Rohit Srivastava and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-12 with Science categories.
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.
The Diatoms
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Author : John P. Smol
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-30
The Diatoms written by John P. Smol and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-30 with Science categories.
This much revised and expanded edition provides a valuable and detailed summary of the many uses of diatoms in a wide range of applications in the environmental and earth sciences. Particular emphasis is placed on the use of diatoms in analysing ecological problems related to climate change, acidification, eutrophication, and other pollution issues. The chapters are divided into sections for easy reference, with separate sections covering indicators in different aquatic environments. A final section explores diatom use in other fields of study such as forensics, oil and gas exploration, nanotechnology, and archaeology. Sixteen new chapters have been added since the first edition, including introductory chapters on diatom biology and the numerical approaches used by diatomists. The extensive glossary has also been expanded and now includes over 1,000 detailed entries, which will help non-specialists to use the book effectively.
On The Diffusion Method Of Crystal Growth
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Author : Ödön Lendvay
language : en
Publisher:
Release Date : 1969
On The Diffusion Method Of Crystal Growth written by Ödön Lendvay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Crystal growth categories.
The simplest technical method for producing crystals of poorly soluble materials is diffusion growth. Through Diffusion growth nucleation processes may be limited or extended to chosen extent. The location and time of initiation for nucleation are directly calculable if the critical supersaturation or solubility product is known. The modification of nucleation time, duration, speed, time expansion, or contraction of extent may be achieved by simple methods. By the selection of experimental conditions different size distribution crystalline precipitates or macrocrystals may be produced. The latter may reach 1 cm size if system parameters are chosen correctly. The maximum dimensions of crystals produced are determined by the relationship of speed, nucleation, and growth. Largest dimensions through growth are usually exhibited by dendrites, twins, plain crystals, and needles. The so-called space crystals (where all three dimensions of the crystal are nearly equal) are generally smaller than the previous ones. The method has increased importance in cases where usual crystal growth methods may not be employed due ot the characteristics of the crystal to be produced.
Handbook Of Crystal Growth
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Author : Tatau Nishinaga
language : en
Publisher: Elsevier
Release Date : 2014-11-04
Handbook Of Crystal Growth written by Tatau Nishinaga and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-04 with Science categories.
Volume IAHandbook of Crystal Growth, 2nd Edition (Fundamentals: Thermodynamics and Kinetics) Volume IA addresses the present status of crystal growth science, and provides scientific tools for the following volumes: Volume II (Bulk Crystal Growth) and III (Thin Film Growth and Epitaxy). Volume IA highlights thermodynamics and kinetics. After historical introduction of the crystal growth, phase equilibria, defect thermodynamics, stoichiometry, and shape of crystal and structure of melt are described. Then, the most fundamental and basic aspects of crystal growth are presented, along with the theories of nucleation and growth kinetics. In addition, the simulations of crystal growth by Monte Carlo, ab initio-based approach and colloidal assembly are thoroughly investigated. Volume IBHandbook of Crystal Growth, 2nd Edition (Fundamentals: Transport and Stability) Volume IB discusses pattern formation, a typical problem in crystal growth. In addition, an introduction to morphological stability is given and the phase-field model is explained with comparison to experiments. The field of nanocrystal growth is rapidly expanding and here the growth from vapor is presented as an example. For the advancement of life science, the crystal growth of protein and other biological molecules is indispensable and biological crystallization in nature gives many hints for their crystal growth. Another subject discussed is pharmaceutical crystal growth. To understand the crystal growth, in situ observation is extremely powerful. The observation techniques are demonstrated. Volume IA Explores phase equilibria, defect thermodynamics of Si, stoichiometry of oxides and atomistic structure of melt and alloys Explains basic ideas to understand crystal growth, equilibrium shape of crystal, rough-smooth transition of step and surface, nucleation and growth mechanisms Focuses on simulation of crystal growth by classical Monte Carlo, ab-initio based quantum mechanical approach, kinetic Monte Carlo and phase field model. Controlled colloidal assembly is presented as an experimental model for crystal growth. Volume IIB Describes morphological stability theory and phase-field model and comparison to experiments of dendritic growth Presents nanocrystal growth in vapor as well as protein crystal growth and biological crystallization Interprets mass production of pharmaceutical crystals to be understood as ordinary crystal growth and explains crystallization of chiral molecules Demonstrates in situ observation of crystal growth in vapor, solution and melt on the ground and in space
50 Years Progress In Crystal Growth
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Author : Robert Feigelson
language : en
Publisher: Elsevier
Release Date : 2004-07-09
50 Years Progress In Crystal Growth written by Robert Feigelson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-09 with Science categories.
There is no question that the field of solid state electronics, which essentially began with work at Bell laboratories just after World War II, has had a profound impact on today's Society. What is not nearly so widely known is that advances in the art and science of crystal growth underpin this technology. Single crystals, once valued only for their beauty, are now found, in one form or another in most electronic, optoelectronic and numerous optical devices. These devices, in turn, have permeated almost every home and village throughout the world. In fact it is hard to imagine what our electronics industry, much less our entire civilization, would have been like if crystal growth scientists and engineers were unable to produce the large, defect free crystals required by device designers. This book brings together two sets of related articles describing advances made in crystal growth science and technology since World War II. One set is from the proceedings of a Symposium held in August 2002 to celebrate 50 years of progress in the field of crystal growth. The second contains articles previously published in the newsletter of the American Association for Crystal Growth in a series called "Milestones in Crystal Growth". The first section of this book contains several articles which describe some of the early history of crystal growth prior to the electronics revolution, and upon which modern crystal growth science and technology is based. This is followed by a special article by Prof. Sunagawa which provides some insight into how the successful Japanese crystal growth industry developed. The next section deals with crystal growth fundamentals including concepts of solute distribution, interface kinetics, constitutional supercooling, morphological stability and the growth of dendrites. The following section describes the growth of crystals from melts and solutions, while the final part involves thin film growth by MBE and OMVPE. These articles were written by some of the most famous theorists and crystal growers working in the field. They will provide future research workers with valuable insight into how these pioneering discoveries were made, and show how their own research and future devices will be based upon these developments. · Articles written by some of the most famous theorists and crystal growers working in the field · Valuable insight into how pioneering discoveries were made. · Show how their own research and future devices will be based upon these developments
Books In Print
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Author :
language : en
Publisher:
Release Date : 1991
Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with American literature categories.
Pattern Formation In Liquid Crystals
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Author : Agnes Buka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Pattern Formation In Liquid Crystals written by Agnes Buka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
In the last 20 years the study of nonlinear nonequilibrium phenomena in spa tially extended systems, with particular emphasis on pattern-forming phenomena, has been one of the very active areas in physics, exhibiting interesting ramifi cations into other sciences. During this time the study of the "classic" systems, like Rayleigh-Benard convection and Taylor vortex flow in simple fluids, has also been supplemented by the study of more complex systems. Here liquid crystals have played, and are still playing, a major role. One might say that liquid crystals provide just the right amount and right kind of complexity. They are full of non linearities and give rise to new symmetry classes, which are sometimes actually simpler to deal with qualitatively, but they still allow a quantitative description of experiments in many cases. In fact one of the attractions of the field is the close contact between experimentalists and theorists. Hydrodynamic instabilities in liquid crystals had already experienced a period of intense study in the late 1960s and early 1970s, but at that time neither the ex perimental and theoretical tools nor the concepts had been developed sufficiently far to address the questions that have since been found to be of particular interest. The renewed interest is also evidenced by the fact that a new series of workshops has evolved. The first one took place in 1989 in Bayreuth and united participants from almost all groups working in pattern formation in liquid crystals.