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Pattern Formation In Diffusion Limited Crystal Growth Beyond The Single Dendrite
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Book Synopsis Pattern Formation In Diffusion-limited Crystal Growth: Beyond The Single Dendrite by : Klaus Kassner
Download or read book Pattern Formation In Diffusion-limited Crystal Growth: Beyond The Single Dendrite written by Klaus Kassner and published by World Scientific. This book was released on 1996-07-04 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Interfacial Wave Theory of Pattern Formation by : Jian-Jun Xu
Download or read book Interfacial Wave Theory of Pattern Formation written by Jian-Jun Xu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Interfacial Wave Theory of Pattern Formation in Solidification by : Jian-Jun Xu
Download or read book Interfacial Wave Theory of Pattern Formation in Solidification written by Jian-Jun Xu and published by Springer. This book was released on 2017-05-23 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Growth and Form of Self-organized Branched Crystal Pattern in Nonlinear Chemical System by : Rohit Srivastava
Download or read book Growth and Form of Self-organized Branched Crystal Pattern in Nonlinear Chemical System written by Rohit Srivastava and published by Springer. This book was released on 2016-04-12 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Diatoms written by John P. Smol and published by Cambridge University Press. This book was released on 2010-09-30 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis 50 Years Progress in Crystal Growth by : Robert Feigelson
Download or read book 50 Years Progress in Crystal Growth written by Robert Feigelson and published by Elsevier. This book was released on 2004-07-09 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Books in Print written by and published by . This book was released on 1991 with total page 2432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Crystal Growth by : Tatau Nishinaga
Download or read book Handbook of Crystal Growth written by Tatau Nishinaga and published by Elsevier. This book was released on 2014-11-04 with total page 1214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume IA Handbook 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 IB Handbook 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
Book Synopsis On the Diffusion Method of Crystal Growth by : Ödön Lendvay
Download or read book On the Diffusion Method of Crystal Growth written by Ödön Lendvay and published by . This book was released on 1969 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Growth, Dissolution and Pattern Formation in Geosystems by : B. Jamtveit
Download or read book Growth, Dissolution and Pattern Formation in Geosystems written by B. Jamtveit and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Formation, Dynamics And Statistics Of Patterns (Volume 1) by : Onuki Akira
Download or read book Formation, Dynamics And Statistics Of Patterns (Volume 1) written by Onuki Akira and published by World Scientific. This book was released on 1990-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns are becoming the focal point of many areas of scientific endeavour in recent years owing to the progress of computer science, laboratory experiments and observations, and analytical tools. This book brings together articles by the leading experts in this field. The following topics are discussed in this volume: current status of pattern research with emphasis on real phenomena and new theoretical concepts; interdisciplinary subjects involving Statistical Physics, Condensed Matter Physics, Fluid Mechanics, Nonequilibrium and Nonlinear Phenomena.
Author :Jaun-Manuel Garcia-Ruiz Publisher :Springer Science & Business Media ISBN 13 :1461528526 Total Pages :417 pages Book Rating :4.4/5 (615 download)
Book Synopsis Growth Patterns in Physical Sciences and Biology by : Jaun-Manuel Garcia-Ruiz
Download or read book Growth Patterns in Physical Sciences and Biology written by Jaun-Manuel Garcia-Ruiz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.
Book Synopsis Crystal Growth - From Fundamentals to Technology by : Georg Müller
Download or read book Crystal Growth - From Fundamentals to Technology written by Georg Müller and published by Elsevier. This book was released on 2004-07-07 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains 5 chapters with 19 contributions form internationally well acknowledged experts in various fields of crystal growth. The topics are ranging from fundamentals (thermodynamic of epitaxy growth, kinetics, morphology, modeling) to new crystal materials (carbon nanocrystals and nanotubes, biological crystals), to technology (Silicon Czochralski growth, oxide growth, III-IV epitaxy) and characterization (point defects, X-ray imaging, in-situ STM). It covers the treatment of bulk growth as well as epitaxy by anorganic and organic materials.
Book Synopsis Snow Crystals by : Kenneth G. Libbrecht
Download or read book Snow Crystals written by Kenneth G. Libbrecht and published by Princeton University Press. This book was released on 2021-12-21 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: A definitive new investigation of the science of snowflakes by the world’s leading expert A snowflake’s sophisticated symmetry emerges when crystalline ice grows from water vapor within the winter clouds. While certain iconic snowflake shapes are visually familiar to us, microscopic close-ups of falling snow reveal a rich menagerie of lesser-known forms, including slender needle clusters, hollow columns, bullet rosettes, triangular crystals, and exotic capped columns. What explains the myriad and unusual structures of snowflakes that materialize under different atmospheric conditions? In Snow Crystals, Kenneth Libbrecht delves into the science of snowflakes, examining why ice crystals grow the way they do, how patterns emerge, and what they illuminate about the fundamental physics of crystal growth, structure formation, and self-assembly. Libbrecht—the world’s foremost expert on snowflakes—describes the full range of physical processes underlying their occurrence. He explores such topics as the centuries-long development of snow crystal science, the crystalline structure of ice, molecular dynamics at the ice surface, diffusion-limited growth, surface attachment kinetics, computational models of snow crystal growth, laboratory techniques for creating and studying snow crystals, different types of natural snowflakes, and photographing snow crystals. Throughout, Libbrecht’s extensive detailed discussions are accompanied by hundreds of beautiful full-color images. From the molecular dynamics of surface premelting to the aerodynamics of falling snow, Snow Crystals chronicles the continuing quest to fully understand this fascinating phenomenon.
Book Synopsis The Physics of Structure Formation by : Werner Güttinger
Download or read book The Physics of Structure Formation written by Werner Güttinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics. Such pattern formation problems are common in practically all systems involving a large number of interacting components. Here, the basic problem is to understand how competing physical forces can shape stable geometries and to explain why nature prefers just these. Motivation for the intensive study of pattern formation phenomena during the past few years derives from an increasing appreciation of the remarkable diversity of behaviour encountered in nonlinear systems and of universal features shared by entire classes of nonlinear processes. As physics copes with ever more ambi tious problems in pattern formation, summarizing our present state of knowledge becomes a pressing issue. This volume presents an overview of selected topics in this field of current interest. It deals with theoretical models of pattern formation and with simulations that bridge the gap between theory and experiment. The book is a product of the International Symposium on the Physics of Structure Formation, held from October 27 through November 2, 1986, at the Institute for Information Sciences of the University of Tiibingen. The symposium brought together a group of distinguished scientists from various disciplines to exchange ideas about recent advances in pattern formation in the physical sciences, and also to introduce young scientists to the fi
Book Synopsis Nonlinearity in Condensed Matter by : Alan R. Bishop
Download or read book Nonlinearity in Condensed Matter written by Alan R. Bishop and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth Annual Conference of the Center for Nonlinear Studies at the Los Alamos National Laboratory was held May 5-9, 1986, on the topic "Nonlinearity in Condensed Matter: Lessons from the Past and Prospects for the Future. " As conference organizers, we felt that the study of non linear phenomena in condensed matter had matured to the point where it made sense to take stock of the numerous lessons to be learned from a variety of contexts where nonlinearity plays a fundamental role and to evaluate the prospects for the growth of this general discipline. The successful 1978 Oxford Symposium on nonlinear (soliton) struc ture and dynamics in condensed matter (Springer Ser. Solid-State Sci. , Vol. 8) was held at a time when the ubiquity of solitons was just begin ning to be appreciated by the condensed matter community; in subsequent years the soliton paradigm has provided a rather useful framework for in vestigating a large number of phenomena, particularly in low-dimensional systems. Nevertheless, we felt that the importance of nonlinearity in wider arenas than "solitonics" merited a significant expansion in the scope of the conference over that of the 1978 symposium. Indeed, many of the lessons are quite general and their potential for cross-fertilization of otherwise poorly connected disciplines was certainly one of the prime motivations for this conference. Thus, while these proceedings contain many contribu tions pertaining to soliton behavior in different contexts, the reader will find much more as well, particularly in the later chapters.
Book Synopsis Theory of Solidification by : Stephen H. Davis
Download or read book Theory of Solidification written by Stephen H. Davis and published by Cambridge University Press. This book was released on 2001-10-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.
