Download or read book Propagating Waves and Target Patterns in Chemical Systems written by Paul C. Fife and published by . This book was released on 1980 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: A class of models for target patterns (concentric circular waves emanating from a point called the leading center) is constructed in the context of singularly perturbed reaction-diffusion systems of partial differential equations. First, the theory of wave fronts is detailed for scalar equations and systems of equations. A scaling method reduces complex waves to the consideration of a group of simple wave phenomena. It is shown that expanding wave fronts can be generated spontaneously at a point. This process, together with the laws of their subsequent motion, reduces the problem to an ordinary differential initial value problem, whose solution is required to have certain properties. A discussion is given of the connection between these results and experimental observations. (Author).
Download or read book Chemical Waves and Patterns written by Raymond Kapral and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamics of Synergetic Systems written by H. Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24. -29 . • 1979. In keeping with our previous meetings. this one was truly interdisciplinary. Synergetic systems are those that can produce macroscopic spatial. temporal or functional structures in a self-organized way. I think that these proceedings draw a rather coherent picture of the present status of Synergetics, emphasizing this time theoretical aspects, although the proceedings contain also important con tributions from the experimental side. Synergetics has ties to many quite different disciplines as is clearly mirrored by the following articles. Out of the many ties I pick here only one example which is alluded to in the title of this book. Indeed, there is an important branch of mathematics called dynamic systems theory for which the problems of Synergetics might become an eldorado. While, undoubtedly, a good deal of dynamic systems had been motivated by mechanics, such as celestial and fluid dynamics, theory Synergetics provides us with a wealth of related problems of quite different fields, e. g. , lasers or chemical reaction processes. In order to become adequately applicable, in quite a number of realistic cases dynamic systems theory must be developed further. This is equally true for a number of other approaches.
Download or read book Analytical and Numerical Approaches to Asymptotic Problems in Analysis written by O. Axelsson and published by Elsevier. This book was released on 2010-07-03 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical and Numerical Approaches to Asymptotic Problems in Analysis
Download or read book Non Equilibrium Dynamics in Chemical Systems written by C. Vidal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Markedly apart from elementary particle physics, another current has been building up and cont i nuous ly growi ng within contemporary phys i cs for severa 1 decades, and even expanding into many other disciplines, especially chemistry, biology and, quite recently, economics. Several reasons account for this: presumably the most impor tant one lies in the fact that, whatever the specific problem, model or material concerned, the same basic mathematical features are always involved. In this way, a general phenomenology has emerged which, unlike thermodynamics, is no longer depen dent upon the details or specifics: what largely prevails is the nonlinear charac ter of the underlying dynamics. Perhaps we are witnessing the emergence of a "non linear physics"--In a way similar to the birth of "quantum physics" in the twen ties - a physics which deals with the general behaviour of systems, whatever they are or may be. Over the past fifteen years, chemical systems evolving sufficiently far from equilibrium have proved to be particularly well fitted to experimental research on nonlinear behaviour: oscillation, multistability, birhythmicity, chaotic evolution, spatial self-organization and hysteresis are displayed by chemical reactions whose number is growing each year. In this volume are collected the lectures, communica tions and posters (abstracts) presented at an international meeting entitled: "Non-Equilibrium Dynamics in Chemical Systems", held in Bordeaux (France), Septem ber 3 rd-lth, 1984.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Evolution of Order and Chaos written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the invited lectures presented at the International Sym posium on Synergetics at Schloss Elmau in April, 1982. This symposium marked the th 10 anniversary of symposia on synergetics, the first of which was held at Schloss Elmau in 1972. As is now weIl known, these symposia are devoted to the study of the formation of structures in physical systems far from thermal equilibrium, as weIl as in nonphysical systems such as those in biology and sociology. While the first proceedings were published by Teubner Publishing Company in 1973 and the second by North Holland Publishing Company in 1974, the subsequent proceed ings have been published in the Springer Series in Synergetics. I believe that these proceedings give a quite faithful picture of the developments in this new interdisciplinary field over the past decade. As H.J. Queisser recently noted, the prefix "non", which is used quite frequent ly in modern scientific literature in words such as "nonequilibrium", "nonlinear", etc., indicates a new development in scientific thinking. Indeed, this new develop ment was anticipated and given a framework in the introduction of "synergetics" more than a decade ago.
Download or read book Pattern Formations and Oscillatory Phenomena written by Jun Miyazaki and published by Elsevier Inc. Chapters. This book was released on 2013-05-09 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this chapter, temporal and spatial patterns observed in the Belousov–Zhabotinsky (BZ) reaction are described, which is a typical nonlinear chemical reaction system that exhibits oscillation and wave propagation. Some related phenomena in biological systems are presented. The underlying mechanism and modeling of oscillation based on chemical equations are then introduced. Reaction diffusion equations are derived and numerical simulations are performed based on the model to explain how the dynamical pattern appears. Finally, synchronous phenomena observed in the BZ reaction are described with an analytical method based on the phase model.
Download or read book Out of Equilibrium Supra molecular Systems and Materials written by Nicolas Giuseppone and published by John Wiley & Sons. This book was released on 2021-07-19 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Out-of-Equilibrium (Supra)molecular Systems and Materials A must-have resource that covers everything from out-of-equilibrium chemical systems to active materials Out-of-Equilibrium (Supra)molecular Systems and Materials presents a comprehensive overview of the synthetic approaches that use molecular and supramolecular bonds in various out-of-equilibrium situations. With contributions from noted experts on the topic, the text contains information on the design of dissipative chemical systems that adapt their structures in space and time when fueled by an external source of energy. The contributors also examine molecules, nanoscale objects and materials that can produce mechanical work based on molecular machines. Additionally, the book explores living supramolecular polymers that can be trapped in kinetically stable states, as well as out-of-equilibrium chemical networks and oscillators that are important to understand the emergence of complex behaviors and, in particular, the origin of life. This important book: Offers comprehensive coverage of fields from design of out-of-equilibrium self-assemblies to molecular machines and active materials Presents information on a highly emerging and interdisciplinary topic Includes contributions from internationally renowned scientists Written for chemists, physical chemists, biochemists, material scientists, Out-of-Equilibrium (Supra)molecular Systems and Materials is an indispensable resource written by top scientists in the field.
Download or read book Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions written by S Kai and published by World Scientific. This book was released on 1992-09-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on 1980 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Steps Towards an Evolutionary Physics written by Enzo Tiezzi and published by WIT Press. This book was released on 2006 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the elements of a new evolutionary approach to physics. Based on intuition, this concept was originated by the late Chemistry Nobel Prize winner Ilya Prigogine.The text will appeal to both technical and graduate audiences as well as general readers. It deals with the following topics: Epistemological Basis of Evolutionary Thermodynamics; Far From Equilibrium - Thermodynamics and Irreversibility; The Concept of Negentropy (From Boltzman to Szent-György, Through Schrödinger's "What's Life"); Energy Versus Entropy; Is Entropy Always a Function State? The Arrow of Time and the Role of Events in an Evolutionary Physical-Chemistry; First and Second Principles of Thermodynamics Revisited; Introduction to Ecodynamics - Fundamental Principles; A Physics for Biosystems and Ecosystems - Cross-Fertilization Between Evolutionary Thermodynamics and Systems Ecology; The Supramolecular Structure of Water - A Magnetic Resonance Approach; Nuclear Spin Relaxation Times; Dissipative Structures in Nature - The Bat's Case (Biodiversity and Strange Attractors); Application of Ecodynamic Models to Sustainable Development; Biosphere Global Ecodynamic Models; and Dissipative Structures and Design.
Download or read book Cell to Cell Signalling written by A. Goldbeter and published by Academic Press. This book was released on 2014-06-28 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cell to Cell Signalling: From Experiments to Theoretical Models is a collection of papers from a NATO Workshop conducted in Belgium in September 1988. The book discusses nerve cells and neural networks involved in signal transfers. The works of Hodgkin and Huxley presents a prototypic combination between experimental and theoretical approaches. The book discusses the coupling process found between secretory cells that modify their behavior. The text also analyzes morphogenesis and development, and then emphasizes the pattern formation found in Drosophila and in the amphibian embryo. The text also cite examples of immunological modeling that is related to the dynamics of immune networks based on idiotypic regulation. One paper analyzes the immune dynamism of HIV infection. The text notes that hormone signaling can be attributed as responsible for intercellular communication. Another paper examines how the dominant follicle in the ovarian cycle is selected, as well as the effectiveness of hormone secretion responsible for encoding the frequency of occurrence of periodic signals. The book also discusses heart signal sources such as cardiac dynamics and the response of periodically excited cardiac cells. The text can prove valuable for practioners in the field of neurology and cardiovascular medicine, and for researchers in molecular biology and molecular chemistry.
Download or read book Pattern Formations and Oscillatory Phenomena written by Shuichi Kinoshita and published by Newnes. This book was released on 2013-05-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Untangling Complex Systems written by Pier Luigi Gentili and published by CRC Press. This book was released on 2018-09-03 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space.
Download or read book Reviews in Computational Chemistry Volume 10 written by Kenny B. Lipkowitz and published by John Wiley & Sons. This book was released on 2009-09-22 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Not only a major reference work for sale to the library market, Reviews in Computational Chemistry is now a purchase by individuals due to the explosive growth in the use of computational chemistry throughout many scientific disciplines. In an instructional and nonmathematical style, these books provide an access to computational methods often outside a researcher's area of expertise. Volumes 9 & 10 represent the next two volumes in the successful series designed to help the chemistry community keep current with the many new developments in computational techniques. Many chapters are written as tutorials to introduce the many facets of computational chemistry, including molecular modeling, computer-assisted molecular design (CAMD), quantum chemistry, molecular mechanics and dynamics, and quantitative structure-activity relationships (QSAR). The authors provide necessary background and theory, strategies for implementing the methods, pitfalls to avoid, applications, and references.
Download or read book Traveling Wave Solutions of Parabolic Systems written by A. I. Volpert and published by American Mathematical Soc.. This book was released on with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of travelling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. With introductory material accessible to non-mathematicians and a nearly complete bibliography of about 500 references, this book is an excellent resource on the subject.
