Pattern Formation At Interfaces
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Pattern Formation At Interfaces
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Author : Pierre Colinet
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-26
Pattern Formation At Interfaces written by Pierre Colinet 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 2010-03-26 with Technology & Engineering categories.
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.
Pattern Formation
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Author : Rebecca Hoyle
language : en
Publisher: Cambridge University Press
Release Date : 2006
Pattern Formation written by Rebecca Hoyle 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 2006 with Mathematics categories.
From the stripes of a zebra and the spots on a leopard's back to the ripples on a sandy beach or desert dune, regular patterns arise everywhere in nature. The appearance and evolution of these phenomena have been a focus of recent research activity across several disciplines. This book provides an introduction to the range of mathematical theory and methods used to analyze and explain these often intricate and beautiful patterns. Bringing together several different approaches, from group theoretic methods to envelope equations and theory of patterns in large-aspect ratio-systems, the book also provides insight behind the selection of one pattern over another.
Patterns And Interfaces In Dissipative Dynamics
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Author : Len Pismen
language : en
Publisher: Springer Nature
Release Date : 2023-06-12
Patterns And Interfaces In Dissipative Dynamics written by Len Pismen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-12 with Science categories.
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
Boundaries Interfaces And Transitions
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Author : Michel C. Delfour
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Boundaries Interfaces And Transitions written by Michel C. Delfour and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
Nine papers bring together geometric tools developed in distant areas of mathematics, mechanics, and physics, for application in the design, identification, and control of technological processes. The articles discuss topics such as: the transition to turbulence via turbulent bursts; intrinsic differential geometric methods in the asymptotic analysis of linear thin shells; local theory of shape analysis via distance functions; shape memory; dendrites, fingers, interfaces, and free boundaries; superconductivity; front propagation; hysteresis; and dynamic metastability and singular perturbations. Annotation copyrighted by Book News, Inc., Portland, OR
Periodic Precipitation
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Author : H. K. Henisch
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Periodic Precipitation written by H. K. Henisch and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Science categories.
Containing illustrations, worked examples, graphs and tables, this book deals with periodic precipitation (also known as Liesegang Ring formation) in terms of mathematical models and their logical consequences, and is entirely concerned with microcomputer analysis and software development. Three distinctive periodic precipitation mechanisms are included: binary diffusion-reaction; solubility modulation, and competitive particle growth. The book provides didactic illustrations of a valuable investigational procedure, in the form of hypothetical experimentation by microcomputer. The development of appropriate software is described and the resulting programs are available separately on disk. The software (for IBM compatible microcomputers; 5 1/4 and 3 1/2 inch disks available) will be sold separately by, The Carnation Press, PO Box 101, State College, PA 16804, USA.
Pattern Formation At Semiconductor Interfaces And Surfaces
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Author : Sumit Bose
language : en
Publisher:
Release Date : 2001
Pattern Formation At Semiconductor Interfaces And Surfaces written by Sumit Bose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Chemistry At Interfaces
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Author : Finlay MacRitchie
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Chemistry At Interfaces written by Finlay MacRitchie and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Chemistry at Interfaces provides an introduction to the fundamental concepts in interfacial chemistry. It aims to provide students and research workers who have not had training in a school of surface chemistry with the means to set up and use interfacial techniques and to interpret measurements. For this reason, more emphasis is given to experimental details and to the associated pitfalls than most other books in the field. The book begins by considering some of the basic laws governing behavior in chemical systems and how these apply to some examples of interfacial processes. This is followed by a discussion of two specific properties oSf interfaces: the tendency to concentrate reactants and the ability to orientate molecules, thus increasing their reactivity. Separate chapters cover standards of cleanliness in interfacial work and methods to achieve them; techniques for the study of interfacial films; the kinetics of physical processes that can occur at an interface; and chemical and biological processes and reactions. The final chapter provides an overview of the wide-ranging applications of interfacial chemistry to practical problems.
Patterns And Interfaces In Dissipative Dynamics
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Author : L.M. Pismen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-07-07
Patterns And Interfaces In Dissipative Dynamics written by L.M. Pismen 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 2006-07-07 with Science categories.
Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium is a paradigmatic case of emergent behaviour associated with complex systems. It is encountered in a great variety of settings, both in nature and technology, and has numerous applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. Nature creates its variety of forms through spontaneous pattern formation and self-assembly, and this strategy is likely to be imitated by future biomorphic technologies. This book is a first-hand account by one of the leading players in this field, which gives in-depth descriptions of analytical methods elucidating the complex evolution of nonlinear dissipative systems, and brings the reader to the forefront of current research. The introductory chapter on the theory of dynamical systems is written with a view to applications of its powerful methods to spatial and spatio-temporal patterns. It is followed by two chapters treating moving interfaces, based largely on reaction-diffusion and phase-separating systems. The following two chapters on amplitude equations for patterns and waves describe universal phenomena generated by representative equations which can be derived for a variety of non-equilibrium systems originating in fluid mechanics, physical chemistry or nonlinear optics. This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference.
Fluid Interfaces
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Author : Eduardo Guzmán
language : en
Publisher: MDPI
Release Date : 2021-03-02
Fluid Interfaces written by Eduardo Guzmán and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-02 with Science categories.
Fluid interfaces are promising candidates for confining different types of materials, e.g., polymers, surfactants, colloids, and even small molecules, to be used in designing new functional materials with reduced dimensionality. The development of such materials requires a deepening of the physicochemical bases underlying the formation of layers at fluid interfaces as well as on the characterization of their structures and properties. This is of particular importance because the constraints associated with the assembly of materials at the interface lead to the emergence of equilibrium and features of dynamics in the interfacial systems, which are far removed from those conventionally found in traditional materials. This Special Issue is devoted to studies on the fundamental and applied aspects of fluid interfaces, and attempts to provide a comprehensive perspective on the current status of the research field.
Neural Fields
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Author : Stephen Coombes
language : en
Publisher: Springer
Release Date : 2014-06-17
Neural Fields written by Stephen Coombes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-17 with Mathematics categories.
Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.