Nonlinear Chemical Kinetics

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Chemical Oscillations and Instabilities

Author : Peter Gray
Publisher : Oxford University Press on Demand
ISBN 13 : 9780198558644
Total Pages : 453 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Chemical Oscillations and Instabilities by : Peter Gray

Download or read book Chemical Oscillations and Instabilities written by Peter Gray and published by Oxford University Press on Demand. This book was released on 1994 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists in many fields are now expressing considerable interest in non-linearity and the ideas of oscillations and chaos. Chemical reactions provide perfect examples of these phenomena, as oscillating reactions, explosions, ignition, travelling waves, patterns, quasiperiodicity, and chaosare all features of chemical kinetics.Now available in paperback, this book introduces non-linear phenomena in chemical kinetics using simple model schemes. These models involve chemical feedback, such as chain branching, autocatalysis, and self-heating. The emphasis is on physical and pictorial representation, and on identifying thosegross features which are essential. The experimental conditions under which such behaviour will occur can be predicted using simple mathematical recipes, and these are also included.The first part of the book begins with a discussion of long-lived oscillations for autocatalytic or exothermic reactions in closed vessels. Stationary states, bistability, and oscillations in continuous flow reactors and diffusion cells are then considered. This is followed by chemical wavepropagation and by pattern selection and oscillations. Complex oscillations, quasiperiodicity, and chemical chaos, either forced or spontaneous, are introduced. Part 2 deals with real experimental systems, describing observed experimental behaviour and its interpretation in terms of the underlyingchemical mechanisms or simplified models. The Belousov-Zhabotinskii reactions is discussed in some detail as the most extensively studied system, and the behaviour of important gas phase reactions is presented.

Mathematical Models of Chemical Reactions

Author : Péter Érdi
Publisher : Manchester University Press
ISBN 13 : 9780719022081
Total Pages : 296 pages
Book Rating : 4.0/5 (22 download)

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Book Synopsis Mathematical Models of Chemical Reactions by : Péter Érdi

Download or read book Mathematical Models of Chemical Reactions written by Péter Érdi and published by Manchester University Press. This book was released on 1989 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Chemical Kinetics

Author :
Publisher : Royal Society of Chemistry
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.X/5 (4 download)

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Book Synopsis Nonlinear Chemical Kinetics by :

Download or read book Nonlinear Chemical Kinetics written by and published by Royal Society of Chemistry. This book was released on 2002 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This discussion stimulates interactions between the nonlinear kinetic community and more traditional physical chemists.

Kinetics of Chemical Reactions

Author : Guy B. Marin
Publisher : John Wiley & Sons
ISBN 13 : 3527342958
Total Pages : 462 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Kinetics of Chemical Reactions by : Guy B. Marin

Download or read book Kinetics of Chemical Reactions written by Guy B. Marin and published by John Wiley & Sons. This book was released on 2019-04-29 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second, extended and updated edition presents the current state of kinetics of chemical reactions, combining basic knowledge with results recently obtained at the frontier of science. Special attention is paid to the problem of the chemical reaction complexity with theoretical and methodological concepts illustrated throughout by numerous examples taken from heterogeneous catalysis combustion and enzyme processes. Of great interest to graduate students in both chemistry and chemical engineering.

Chemical Kinetics and Reaction Dynamics

Author : Santosh K. Upadhyay
Publisher : Springer Science & Business Media
ISBN 13 : 1402045476
Total Pages : 256 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Chemical Kinetics and Reaction Dynamics by : Santosh K. Upadhyay

Download or read book Chemical Kinetics and Reaction Dynamics written by Santosh K. Upadhyay and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical Kinetics and Reaction Dynamics brings together the major facts and theories relating to the rates with which chemical reactions occur from both the macroscopic and microscopic point of view. This book helps the reader achieve a thorough understanding of the principles of chemical kinetics and includes: Detailed stereochemical discussions of reaction steps Classical theory based calculations of state-to-state rate constants A collection of matters on kinetics of various special reactions such as micellar catalysis, phase transfer catalysis, inhibition processes, oscillatory reactions, solid-state reactions, and polymerization reactions at a single source. The growth of the chemical industry greatly depends on the application of chemical kinetics, catalysts and catalytic processes. This volume is therefore an invaluable resource for all academics, industrial researchers and students interested in kinetics, molecular reaction dynamics, and the mechanisms of chemical reactions.

An Introduction to Scientific Computing

Author : Ionut Danaila
Publisher : Springer Science & Business Media
ISBN 13 : 0387491597
Total Pages : 303 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis An Introduction to Scientific Computing by : Ionut Danaila

Download or read book An Introduction to Scientific Computing written by Ionut Danaila and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates scientific computing by presenting twelve computational projects in several disciplines including Fluid Mechanics, Thermal Science, Computer Aided Design, Signal Processing and more. Each follows typical steps of scientific computing, from physical and mathematical description, to numerical formulation and programming and critical discussion of results. The text teaches practical methods not usually available in basic textbooks: numerical checking of accuracy, choice of boundary conditions, effective solving of linear systems, comparison to exact solutions and more. The final section of each project contains the solutions to proposed exercises and guides the reader in using the MATLAB scripts available online.

An Introduction to Nonlinear Chemical Dynamics

Author : Irving R. Epstein
Publisher : Oxford University Press
ISBN 13 : 0198025661
Total Pages : 407 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis An Introduction to Nonlinear Chemical Dynamics by : Irving R. Epstein

Download or read book An Introduction to Nonlinear Chemical Dynamics written by Irving R. Epstein and published by Oxford University Press. This book was released on 1998-10-22 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encyclopedia of Nonlinear Science

Author : Alwyn Scott
Publisher : Routledge
ISBN 13 : 1135455589
Total Pages : 1107 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Encyclopedia of Nonlinear Science by : Alwyn Scott

Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Chemical Kinetics: Beyond The Textbook

Author : Katja Lindenberg
Publisher : World Scientific
ISBN 13 : 1786347024
Total Pages : 618 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Chemical Kinetics: Beyond The Textbook by : Katja Lindenberg

Download or read book Chemical Kinetics: Beyond The Textbook written by Katja Lindenberg and published by World Scientific. This book was released on 2019-08-27 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processes involving randomly moving particles, which react either upon encounter or via distance-dependent reaction rates, are ubiquitous in nature. A few stray examples are recombination of ions or holes and electrons, excitation energy migration and quenching, trapping of particles by other species, coagulation, binding of ligands and proteins to specific sites, chemotaxis, catalytically-induced self-propulsion, polymerization, growth of dendrites or aggregates, or nuclei of a new phase.Several decades ago, it was recognized that the kinetic behavior in some systems with reactions and random transport is strongly affected by many factors, which were not taken into account in previous studies. These are, to name but a few, fluctuations in the spatial distributions of the reactants and fluctuations of the reactivity, some essentially many-particle phenomena, effects of anomalous diffusion, molecular crowding, as well as the internal geometry of the reaction bath. Within recent years, along with a growing interest in chemical processes ocurring in biological systems or cellular environments, numerous advances have been made and considerable knowledge has been acquired. These seminal contributions are, however, scattered among many journals and no attempt has been made so far to present a unified picture.This book presents a general overview of different contemporary facets of chemical kinetics in a variety of different environments. It includes 23 seminal works and reviews on different aspects of reaction processes in chemical, physical and biophysical systems, both theoretical and experimental.

Nonlinear Differential Equations of Chemically Reacting Systems

Author : George R. Gavalas
Publisher : Springer Science & Business Media
ISBN 13 : 3642876439
Total Pages : 116 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Nonlinear Differential Equations of Chemically Reacting Systems by : George R. Gavalas

Download or read book Nonlinear Differential Equations of Chemically Reacting Systems written by George R. Gavalas and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ ential equations. The numerical approach provides quantitative infor mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.

The Investigation of Organic Reactions and Their Mechanisms

Author : Howard Maskill
Publisher : John Wiley & Sons
ISBN 13 : 0470994169
Total Pages : 392 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis The Investigation of Organic Reactions and Their Mechanisms by : Howard Maskill

Download or read book The Investigation of Organic Reactions and Their Mechanisms written by Howard Maskill and published by John Wiley & Sons. This book was released on 2008-04-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: A range of alternative mechanisms can usually be postulated for most organic chemical reactions, and identification of the most likely requires detailed investigation. Investigation of Organic Reactions and their Mechanisms will serve as a guide for the trained chemist who needs to characterise an organic chemical reaction and investigate its mechanism, but who is not an expert in physical organic chemistry. Such an investigation will lead to an understanding of which bonds are broken, which are made, and the order in which these processes happen. This information and knowledge of the associated kinetic and thermodynamic parameters are central to the development of safe, efficient, and profitable industrial chemical processes, and to extending the synthetic utility of new chemical reactions in chemical and pharmaceutical manufacturing, and academic environments. Written as a coherent account of the principal methods currently used in mechanistic investigations, at a level accessible to academic researchers and graduate chemists in industry, the book is highly practical in approach. The contributing authors, an international group of expert practitioners of the techniques covered, illustrate their contributions by examples from their own research and from the relevant wider chemical literature. The book covers basic aspects such as product analysis, kinetics, catalysis, and investigation of reactive intermediates. It also includes material on significant recent developments, e.g. computational chemistry, calorimetry, and electrochemistry, in addition to topics of high current industrial relevance, e.g. reactions in multiphase systems, and synthetically useful reactions involving free radicals and catalysis by organometallic compounds.

An Introduction to Nonlinear Chemical Dynamics

Author : Irving R. Epstein
Publisher : Oxford University Press
ISBN 13 : 0195096703
Total Pages : 407 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis An Introduction to Nonlinear Chemical Dynamics by : Irving R. Epstein

Theories of Molecular Reaction Dynamics

Author : Niels E. Henriksen
Publisher : Oxford University Press, USA
ISBN 13 : 0199203865
Total Pages : 391 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Theories of Molecular Reaction Dynamics by : Niels E. Henriksen

Download or read book Theories of Molecular Reaction Dynamics written by Niels E. Henriksen and published by Oxford University Press, USA. This book was released on 2008 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a central topic at the interface of chemistry and physics - the understanding of how the transformation of matter takes place at the atomic level. Building on the laws of physics, the book focuses on the theoretical framework for predicting the outcome of chemical reactions. The style is highly systematic with attention to basic concepts and clarity of presentation. Molecular reaction dynamics is about the detailed atomic-level description of chemical reactions. Based on quantum mechanics and statistical mechanics or, as an approximation, classical mechanics, the dynamics of uni- and bi-molecular elementary reactions are described. The book features a detailed presentation of transition-state theory which plays an important role in practice, and a comprehensive discussion of basic theories of reaction dynamics in condensed phases. Examples and end-of-chapter problems are included in order to illustrate the theory and its connection to chemical problems.

Nonlinear Dynamical Systems and Control

Author : Wassim M. Haddad
Publisher : Princeton University Press
ISBN 13 : 1400841046
Total Pages : 975 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Nonlinear Dynamical Systems and Control by : Wassim M. Haddad

Download or read book Nonlinear Dynamical Systems and Control written by Wassim M. Haddad and published by Princeton University Press. This book was released on 2011-09-19 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems. Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.

Advanced Chemical Kinetics

Author : Muhammad Akhyar Farrukh
Publisher : BoD – Books on Demand
ISBN 13 : 9535138154
Total Pages : 226 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Advanced Chemical Kinetics by : Muhammad Akhyar Farrukh

Download or read book Advanced Chemical Kinetics written by Muhammad Akhyar Farrukh and published by BoD – Books on Demand. This book was released on 2018-02-21 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book on Advanced Chemical Kinetics gives insight into different aspects of chemical reactions both at the bulk and nanoscale level and covers topics from basic to high class. This book has been divided into three sections: (i) "Kinetics Modeling and Mechanism," (ii) "Kinetics of Nanomaterials," and (iii) "Kinetics Techniques." The first section consists of six chapters with a variety of topics like activation energy and complexity of chemical reactions; the measurement of reaction routes; mathematical modeling analysis and simulation of enzyme kinetics; mechanisms of homogeneous charge compression ignition combustion for the fuels; photophysical processes and photochemical changes; the mechanism of hydroxyl radical, hydrate electron, and hydrogen atom; and acceptorless alcohol dehydrogenation. The understanding of the kinetics of nanomaterials, to bridge the knowledge gap, is presented in the second section. The third section highlights an overview of experimental techniques used to study the mechanism of reactions.

Stochastic Chemical Kinetics

Author : Péter Érdi
Publisher : Springer
ISBN 13 : 149390387X
Total Pages : 174 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Chemical Kinetics by : Péter Érdi

Download or read book Stochastic Chemical Kinetics written by Péter Érdi and published by Springer. This book was released on 2014-05-06 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of stochastic kinetic methods.

The Geometry of Biological Time

Author : Arthur T. Winfree
Publisher : Springer Science & Business Media
ISBN 13 : 3662224925
Total Pages : 543 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis The Geometry of Biological Time by : Arthur T. Winfree

Download or read book The Geometry of Biological Time written by Arthur T. Winfree and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.