Download or read book Diffusion and Reactions From Basics to Applications written by Jerzy Jedlinski and published by Trans Tech Publications Ltd. This book was released on 1995-02-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on how understanding of diffusion and reaction mechanisms affects the development of materials with the improved service properties.
Download or read book Diffusion and Reactions From Basics to Applications written by and published by . This book was released on 1995 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume focuses on how understanding of diffusion and reaction mechanisms affects the development of materials with the improved service properties. Three general topics are addressed: (i) Heterogeneous Reactions; (ii) High Temperature Diffusion and Corrosion Mechanisms, and (iii) Current Problems and Trends in the Development of Materials for High Temperature Applications in Aggressive Environments This book has been designed to provide a presentation of current problems regarding the pertinent issues and identifies the short-term and long-term research aims.
Download or read book Anomalous Diffusion written by Andrzej Pekalski and published by Springer. This book was released on 2014-03-12 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles gives a nice overview of the fast growing field of diffusion and transport. The area of non-Browman statistical mechanics has many extensions into other fields like biology, ecology, geophysics etc. These tutorial lectures address e.g. Lévy flights and walks, diffusion on metal surfaces or in superconductors, classical diffusion, biased and anomalous diffusion, chemical reaction diffusion, aging in glassy systems, diffusion in soft matter and in nonsymmetric potentials, and also new problems like diffusive processes in econophysics and in biology.
Download or read book An Introduction to Anomalous Diffusion and Relaxation written by Luiz Roberto Evangelista and published by Springer Nature. This book was released on 2023-01-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a contemporary treatment of the problems related to anomalous diffusion and anomalous relaxation. It collects and promotes unprecedented applications dealing with diffusion problems and surface effects, adsorption-desorption phenomena, memory effects, reaction-diffusion equations, and relaxation in constrained structures of classical and quantum processes. The topics covered by the book are of current interest and comprehensive range, including concepts in diffusion and stochastic physics, random walks, and elements of fractional calculus. They are accompanied by a detailed exposition of the mathematical techniques intended to serve the reader as a tool to handle modern boundary value problems. This self-contained text can be used as a reference source for graduates and researchers working in applied mathematics, physics of complex systems and fluids, condensed matter physics, statistical physics, chemistry, chemical and electrical engineering, biology, and many others.
Download or read book Patterns and Waves written by Peter Grindrod and published by . This book was released on 1996 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reaction diffusion Equations and Their Applications to Biology written by N. F. Britton and published by . This book was released on 1986 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the book is largely self-contained, some knowledge of the mathematics of differential equations is necessary. Thus the book is intended for mathematicians who are interested in the application of their subject to the biological sciences and for biologists with some mathematical training. It is also suitable for postgraduate mathematics students and for undergraduate mathematicians taking a course in mathematical biology. Increasing use of mathematics in developmental biology, ecology, physiology, and many other areas in the biological sciences has produced a need for a complete, mathematical reference for laboratory practice. In this volume, biological scientists will find a rich resource of interesting applications and illustrations of various mathematical techniques that can be used to analyze reaction-diffusion systems. Concepts covered here include:**systems of ordinary differential equations**conservative systems**the scalar reaction-diffusion equation**analytic techniques for systems of parabolic partial differential equations**bifurcation theory**asymptotic methods for oscillatory systems**singular perturbations**macromolecular carriers -- asymptotic techniques.
Download or read book Chemistry in Motion written by Bartosz A. Grzybowski and published by John Wiley & Sons. This book was released on 2009-04-03 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Change and motion define and constantly reshape the world around us, on scales from the molecular to the global. In particular, the subtle interplay between chemical reactions and molecular transport gives rise to an astounding richness of natural phenomena, and often manifests itself in the emergence of intricate spatial or temporal patterns. The underlying theme of this book is that by “setting chemistry in motion” in a proper way, it is not only possible to discover a variety of new phenomena, in which chemical reactions are coupled with diffusion, but also to build micro-/nanoarchitectures and systems of practical importance. Although reaction and diffusion (RD) processes are essential for the functioning of biological systems, there have been only a few examples of their application in modern micro- and nanotechnology. Part of the problem has been that RD phenomena are hard to bring under experimental control, especially when the system’s dimensions are small. Ultimately this book will guide the reader through all the aspects of these systems – from understanding the basics to practical hints and then to applications and interpretation of results. Topics covered include: An overview and outlook of both biological and man-made reaction-diffusion systems. The fundamentals and mathematics of diffusion and chemical reactions. Reaction-diffusion equations and the methods of solving them. Spatial control of reaction-diffusion at small scales. Micro- and nanofabrication by reaction-diffusion. Chemical clocks and periodic precipitation structures. Reaction-diffusion in soft materials and at solid interfaces. Microstructuring of solids using RD. Reaction-diffusion for chemical amplification and sensing. RD in three dimensions and at the nanoscale, including nanosynthesis. This book is aimed at all those who are interested in chemical processes at small scales, especially physical chemists, chemical engineers, and material scientists. The book can also be used for one-semester, graduate elective courses in chemical engineering, materials science, or chemistry classes.
Download or read book Numerical Solution of Time Dependent Advection Diffusion Reaction Equations written by Willem Hundsdorfer and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique book on Reaction-Advection-Diffusion problems
Download or read book Spatial Ecology via Reaction Diffusion Equations written by Robert Stephen Cantrell and published by John Wiley & Sons. This book was released on 2004-01-09 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.
Download or read book Nonlinear Reaction Diffusion Convection Equations written by Roman Cherniha and published by CRC Press. This book was released on 2017-11-02 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.
Download or read book Nonlinear Reaction Diffusion Systems written by Roman Cherniha and published by Springer. This book was released on 2017-09-18 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master’s level mathematical biology courses.
Download or read book Handbook of Solid State Diffusion Volume 2 written by Aloke Paul and published by Elsevier. This book was released on 2017-04-13 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Solid State Diffusion, Volume 2: Diffusion Analysis in Material Applications covers the basic fundamentals, techniques, applications, and latest developments in the area of solid-state diffusion, offering a pedagogical understanding for students, academicians, and development engineers. Both experimental techniques and computational methods find equal importance in the second of this two volume set. Volume 2 covers practical issues on diffusion phenomena in bulk, thin film, and in nanomaterials. Diffusion related problems and analysis of methods in industrial applications, such as electronic industry, high temperature materials, nuclear materials, and superconductor materials are discussed. Presents a handbook with a short mathematical background and detailed examples of concrete applications of the sophisticated methods of analysis Enables readers to learn the basic concepts of experimental approaches and the computational methods involved in solid-state diffusion Covers bulk, thin film, and nanomaterials Introduces the problems and analysis in important materials systems in various applications Collates contributions from academic and industrial problems from leading scientists involved in developing key concepts across the globe
Download or read book Modeling Anomalous Diffusion From Statistics To Mathematics written by Weihua Deng and published by World Scientific. This book was released on 2020-01-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on modeling the anomalous diffusion phenomena, being ubiquitous in the natural world. Both the microscopic models (stochastic processes) and macroscopic models (partial differential equations) have been built up. The relationships between the two kinds of models are clarified, and based on these models, some statistical observables are analyzed. From statistics to mathematics, the built models show their power with their associated applications.This book is important for students to develop basic skills to be able to succeed in their future research. In addition to introducing the related models or methods, it also provides the corresponding applications and simulation results, which will attract more readers ranging from mathematicians to physicists or chemists, to name a few.
Download or read book Variational Methods Applied to Problems of Diffusion and Reaction written by William Strieder and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an account of some problems involving diffusion or diffusion with simultaneous reaction that can be illuminated by the use of variational principles. It was written during a period that included sabbatical leaves of one of us (W. S. ) at the University of Minnesota and the other (R. A. ) at the University of Cambridge and we are grateful to the Petroleum Research Fund for helping to support the former and the Guggenheim Foundation for making possible the latter. We would also like to thank Stephen Prager for getting us together in the first place and for showing how interesting and useful these methods can be. We have also benefitted from correspondence with Dr. A. M. Arthurs of the University of York and from the counsel of Dr. B. D. Coleman the general editor of this series. Table of Contents Chapter 1. Introduction and Preliminaries . 1. 1. General Survey 1 1. 2. Phenomenological Descriptions of Diffusion and Reaction 2 1. 3. Correlation Functions for Random Suspensions 4 1. 4. Mean Free Path Statistics . 8 1. 5. Void Point-Surface Statistics . 11 1. 6. Variational Principles Applied to the Diffusion Equation. 12 1. 7. Notation. 16 Chapter 2. Diffusion Through a Porous Medium . 18 2. 1. Introduction 18 2. 2. Diffusion Through an Isotropic Porous Medium 18 2. 3. Variational Formulation for De . 20 2. 4. Bounds on De for an Isotropic Suspension 22 2. 5.
Download or read book Global Solutions of Reaction Diffusion Systems written by Franz Rothe and published by Springer. This book was released on 2006-12-08 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion of Reactive Molecules in Solids and Melts written by Robert H. Doremus and published by John Wiley & Sons. This book was released on 2001-12-03 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Die Verteilung reaktiver Moleküle in Festkörpern und Schmelzen wird hier mit Hilfe eines Diffusions-Reaktions-Modells beschrieben. Klar und präzise stellt der Autor, ein anerkannter Spezialist auf diesem Gebiet, die physikalischen und mathematischen Grundlagen von Diffusionsreaktionen dar und illustriert sie am Beispiel spezieller Werkstoffe.
Download or read book Oxyfuel Combustion for Clean Energy Applications written by Medhat A. Nemitallah and published by Springer. This book was released on 2019-02-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to be the reference book in the area of oxyfuel combustion, covering the fundamentals, design considerations and current challenges in the field. Its first part provides an overview of the greenhouse gas emission problem and the current carbon capture and sequestration technologies. The second part introduces oxy-fuel combustion technologies with emphasis on system efficiency, combustion and emission characteristics, applications and related challenges. The third part focuses on the recent developments in ion transport membranes and their performance in both oxygen separation units and oxygen transport reactors (OTRs). The fourth part presents novel approaches for clean combustion in gas turbines and boilers. Computational modelling and optimization of combustion in gas turbine combustors and boiler furnaces are presented in the fifth part with some numerical results and detailed analyses.
