Chemical Waves And Patterns
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Chemical Waves And Patterns
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Author : Raymond Kapral
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chemical Waves And Patterns written by Raymond Kapral 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.
The concept of macroscopic waves and patterns developing from chemical reaction coupling with diffusion was presented, apparently for the first time, at the Main Meeting of the Deutsche Bunsengesellschaft fur Angewandte Physikalische Chemie, held in Dresden, Germany from May 21 to 24, 1906. Robert Luther, Director of the Physical Chemistry Laboratory in Leipzig, read his paper on the discovery and analysis of propagating reaction-diffusion fronts in autocatalytic chemical reactions [1, 2]. He presented an equation for the velocity of these new waves, V = a(KDC)1/2, and asserted that they might have features in common with propagating action potentials in nerve cell axons. During the discussion period, a skeptic in the audience voiced his objections to this notion. It was none other than the great physical chemist Walther Nernst, who believed that nerve impulse propagation was far too rapid to be akin to the propagating fronts. He was also not willing to accept Luther's wave velocity equation without a derivation. Luther stood his ground, saying his equation was "a simple consequence of the corresponding differential equation. " He described several different autocatalytic reactions that exhibit propagating fronts (recommending gelling the solution to prevent convection) and even presented a demonstration: the autocatalytic permanganate oxidation of oxalate was carried out in a test tube with the image of the front projected onto a screen for the audience.
Chemical Waves And Patterns
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Author : Raymond Kapral
language : en
Publisher: Springer
Release Date : 1995-01-31
Chemical Waves And Patterns written by Raymond Kapral and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-31 with Science categories.
The concept of macroscopic waves and patterns developing from chemical reaction coupling with diffusion was presented, apparently for the first time, at the Main Meeting of the Deutsche Bunsengesellschaft fur Angewandte Physikalische Chemie, held in Dresden, Germany from May 21 to 24, 1906. Robert Luther, Director of the Physical Chemistry Laboratory in Leipzig, read his paper on the discovery and analysis of propagating reaction-diffusion fronts in autocatalytic chemical reactions [1, 2]. He presented an equation for the velocity of these new waves, V = a(KDC)1/2, and asserted that they might have features in common with propagating action potentials in nerve cell axons. During the discussion period, a skeptic in the audience voiced his objections to this notion. It was none other than the great physical chemist Walther Nernst, who believed that nerve impulse propagation was far too rapid to be akin to the propagating fronts. He was also not willing to accept Luther's wave velocity equation without a derivation. Luther stood his ground, saying his equation was "a simple consequence of the corresponding differential equation. " He described several different autocatalytic reactions that exhibit propagating fronts (recommending gelling the solution to prevent convection) and even presented a demonstration: the autocatalytic permanganate oxidation of oxalate was carried out in a test tube with the image of the front projected onto a screen for the audience.
Chemical Oscillations Waves And Turbulence
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Author : Y. Kuramoto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Chemical Oscillations Waves And Turbulence written by Y. Kuramoto 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.
Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid ing principle would be highly desirable. In this connection, this book pushes for ward a particular physical viewpoint based on the slaving principle. The dis covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem onstrated in tbis book for the fields of coupled nonlinear oscillators.
An Introduction To Nonlinear Chemical Dynamics
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Author : Irving R. Epstein
language : en
Publisher: Oxford University Press
Release Date : 1998-10-22
An Introduction To Nonlinear Chemical Dynamics written by Irving R. Epstein and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-22 with Science categories.
Just a few decades ago, chemical oscillations were thought to be exotic reactions of only theoretical interest. Now known to govern an array of physical and biological processes, including the regulation of the heart, these oscillations are being studied by a diverse group across the sciences. This book is the first introduction to nonlinear chemical dynamics written specifically for chemists. It covers oscillating reactions, chaos, and chemical pattern formation, and includes numerous practical suggestions on reactor design, data analysis, and computer simulations. Assuming only an undergraduate knowledge of chemistry, the book is an ideal starting point for research in the field. The book begins with a brief history of nonlinear chemical dynamics and a review of the basic mathematics and chemistry. The authors then provide an extensive overview of nonlinear dynamics, starting with the flow reactor and moving on to a detailed discussion of chemical oscillators. Throughout the authors emphasize the chemical mechanistic basis for self-organization. The overview is followed by a series of chapters on more advanced topics, including complex oscillations, biological systems, polymers, interactions between fields and waves, and Turing patterns. Underscoring the hands-on nature of the material, the book concludes with a series of classroom-tested demonstrations and experiments appropriate for an undergraduate laboratory.
Chemical Waves And Patterns
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Author : Raymond Kapral
language : en
Publisher: Springer
Release Date : 2014-01-15
Chemical Waves And Patterns written by Raymond Kapral and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
This book focuses on the recent developments that have taken place in the experimental and theoretical study of pattern formation in chemically reacting systems. The major developments have centered around the study of spiral waves in excitable and oscillatory media, chemical wave propagation processes and Turing patterns. On the experimental side the use of continuously-fed unstirred reactors and reactors involving gels or porous media have opened up the possibility of controlled studies of spiral wave dynamics and the discovery of new types of dynamics and interactions. The use of digital imaging methods has allowed both visualization and quantitative study of such chemical waves. The experimental observation of Turing and Turing-like patterns in chemical systems has led to a rapid development of work in this area. To our knowledge there is no book that surveys the considerable progress that has taken place, and this volume, containing contributions by leading researchers in the field, aims to put into perspective recent advances and to set the stage for future developments. For researchers and postgraduates in chemistry, physics, mathematics, biology and chemical engineering, plus departmental and central libraries.
Oscillations Waves And Patterns In The Physical And Life Sciences
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Author : Rabih Sultan
language : en
Publisher: Frontiers Media SA
Release Date : 2022-11-21
Oscillations Waves And Patterns In The Physical And Life Sciences written by Rabih Sultan and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-21 with Science categories.
Oscillations Waves And Chaos In Chemical Kinetics
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Author : Stephen K. Scott
language : en
Publisher:
Release Date : 1994
Oscillations Waves And Chaos In Chemical Kinetics written by Stephen K. Scott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Chaotic behavior in systems categories.
The subject of nonlinear dynamics and the phenomenon of chaos, in particular, has become of great interest across of wide range of scientific disciplines in recent years. Chemical kineticists have been very much involved in these developments. Chemical reactions are exemplary nonlinear systems and have provided some of the most strikingly visual experimental evidence and some of the 'neatest' models for theoretical studies. This text sets out to provide a simple introduction to the excitement and relevance of nonlinear chemical kinetics to the chemical world in general.
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 Formations And Oscillatory Phenomena
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Author : Shuichi Kinoshita
language : en
Publisher: Newnes
Release Date : 2013-05-09
Pattern Formations And Oscillatory Phenomena written by Shuichi Kinoshita and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-09 with Science categories.
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
Oscillations And Traveling Waves In Chemical Systems
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Author : Maria Burger
language : en
Publisher: Wiley-Interscience
Release Date : 1985-04-02
Oscillations And Traveling Waves In Chemical Systems written by Maria Burger and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04-02 with Science categories.
Brings together in one comprehensive volume information on oscillating chemical systems and their experimental behavior. As the first major work in this area, it details their mechanistic interpretation and relationship to theories of oscillatory and related behavior. Topics discussed include: the mathematical aspects of temporal oscillations in reacting systems, chemical oscillators based on iodate ion and hydrogen peroxide, numerical techniques for modeling and analysis oscillating reactions, halogen-based oscillators in a flow reactor, periodically perturbed chemical systems, and the structure and variety of chemical waves.