Download or read book Modern Aspects of Diffusion Controlled Reactions written by E. Kotomin and published by Elsevier. This book was released on 1996-10-24 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the effects of reactant spatial correlations arising in the course of basic bimolecular reactions describing defect recombination, energy transfer and exciton annihilation in condensed matter. These effects lead to the kinetics considered abnormal from the standard chemical kinetics point of view. Numerous bimolecular reaction regimes and conditions are analysed in detail. Special attention is paid to the development and numerous applications of a novel, many-point density (MPD) formalism, which is based on Kirkwood's superposition approximation used for decoupling three-particle correlation functions.The book demonstrates that incorporation of the reaction-induced spatial correlations of similar reactants (e.g., vacancy-vacancy) leads to the development of an essentially non-Poisson spectrum of reactant density fluctuations. This can completely change the kinetics at longer times since it no longer obeys the law of mass action. The language of the correlation lengths and critical exponents similar to physics of critical phenomena is used instead. A relation between MPD theory and synergistics is discussed. The validity of the theorem giving a critical complexity for the two-step reactions exhibiting self-organization phenomena is questioned. Theoretical results are illustrated by numerous experimental data.
Download or read book Diffusion in Solids written by Martin Eden Glicksman and published by John Wiley & Sons. This book was released on 2022-09-14 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a modern treatment of diffusion in solids, covering such core topics as the transport of mass through the lattice of a crystalline solid. Part I of the book develops basic concepts in diffusion field theory and illustrates them with several applications, while Part II focuses on key solid-state principles needed to apply diffusion theory to real materials.
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: Expert coverage of the physics and mathematics of diffusion-reactions in solids and melts This book presents a unified treatment of diffusion and reaction in a wide variety of oxides-with a special emphasis on the reactive molecules of water, hydrogen, and oxygen. The author proposes new ways of understanding diffusion and reaction in oxides and in silica glass, presents new mathematical treatments of diffusion-reaction, and offers a new discussion of the oxidation state. Helpful data tables cover the activation energies of water and oxygen diffusion in oxides; the diffusion of dopants in silicon; the ionic porosity of crystalline and amorphous oxides; and the diffusion of a large number of elements in silicon. The book features advanced discussions of: * Diffusion and reaction in solids and in relation to solid structure * Diffusion and reaction of water in silica glass, quartz, obsidian, and all oxides * Diffusion and reaction of hydrogen in oxides * Diffusion and reaction of oxygen in oxides * The oxidation state * Diffusion in silicon Diffusion of Reactive Molecules in Solids and Melts presents an up-to-date and comprehensive survey of the subject written for geologists, professionals working in fiber optics, graduate students, and researchers in materials science and solid-state physics.
Download or read book Stochastic Methods for Boundary Value Problems written by Karl K. Sabelfeld and published by Walter de Gruyter GmbH & Co KG. This book was released on 2016-09-26 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to random walk based stochastic algorithms for solving high-dimensional boundary value problems of mathematical physics and chemistry. It includes Monte Carlo methods where the random walks live not only on the boundary, but also inside the domain. A variety of examples from capacitance calculations to electron dynamics in semiconductors are discussed to illustrate the viability of the approach. The book is written for mathematicians who work in the field of partial differential and integral equations, physicists and engineers dealing with computational methods and applied probability, for students and postgraduates studying mathematical physics and numerical mathematics. Contents: Introduction Random walk algorithms for solving integral equations Random walk-on-boundary algorithms for the Laplace equation Walk-on-boundary algorithms for the heat equation Spatial problems of elasticity Variants of the random walk on boundary for solving stationary potential problems Splitting and survival probabilities in random walk methods and applications A random WOS-based KMC method for electron–hole recombinations Monte Carlo methods for computing macromolecules properties and solving related problems Bibliography
Download or read book Factorization Singular Operators and Related Problems written by Stefan Samko and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings comprise a large part of the papers presented at the In ternational Conference Factorization, Singular Operators and related problems, which was held from January 28 to February 1, 2002, at the University of th Madeira, Funchal, Portugal, to mark Professor Georgii Litvinchuk's 70 birth day. Experts in a variety of fields came to this conference to pay tribute to the great achievements of Professor Georgii Litvinchuk in the development of vari ous areas of operator theory. The main themes of the conference were focussed around the theory of singular type operators and factorization problems, but other topics such as potential theory and fractional calculus, to name but a couple, were also presented. The goal of the conference was to bring together mathematicians from var ious fields within operator theory and function theory in order to highlight recent advances in problems many of which were originally studied by Profes sor Litvinchuk and his scientific school. A second aim was to stimulate in ternational collaboration even further and promote the interaction of different approaches in current research in these areas. The Proceedings will be of great interest to researchers in Operator The ory, Real and Complex Analysis, Functional and Harmonic Analysis, Potential Theory, Fractional Calculus and other areas, as well as to graduate students looking for the latest results.
Download or read book Noise in Complex Systems and Stochastic Dynamics II written by Zoltán Gingl and published by SPIE-International Society for Optical Engineering. This book was released on 2004 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of SPIE present the original research papers presented at SPIE conferences and other high-quality conferences in the broad-ranging fields of optics and photonics. These books provide prompt access to the latest innovations in research and technology in their respective fields. Proceedings of SPIE are among the most cited references in patent literature.
Download or read book International Books in Print written by and published by . This book was released on 1998 with total page 1332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physical Review written by and published by . This book was released on 2000-07 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publishes papers that report results of research in statistical physics, plasmas, fluids, and related interdisciplinary topics. There are sections on (1) methods of statistical physics, (2) classical fluids, (3) liquid crystals, (4) diffusion-limited aggregation, and dendritic growth, (5) biological physics, (6) plasma physics, (7) physics of beams, (8) classical physics, including nonlinear media, and (9) computational physics.
Download or read book Subject Guide to Children s Books in Print 1997 written by Bowker Editorial Staff and published by R. R. Bowker. This book was released on 1996-09 with total page 2776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 1996 with total page 1672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Subject Guide to Books in Print written by and published by . This book was released on 1997 with total page 3126 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Books in Print written by and published by . This book was released on 1991 with total page 2432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Approach to Chemical Kinetics written by Donald Allan McQuarrie and published by . This book was released on 1968 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion in Condensed Matter written by Paul Heitjans and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 971 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, handbook-style survey of diffusion in condensed matter gives detailed insight into diffusion as the process of particle transport due to stochastic movement. It is understood and presented as a phenomenon of crucial relevance for a large variety of processes and materials. In this book, all aspects of the theoretical fundamentals, experimental techniques, highlights of current developments and results for solids, liquids and interfaces are presented.
Download or read book The Mechanisms of Pyrolysis Oxidation and Burning of Organic Materials written by Leo Aloysius Wall and published by . This book was released on 1972 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Biomolecular Feedback Systems written by Domitilla Del Vecchio and published by Princeton University Press. This book was released on 2014-10-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to the principles and tools for modeling, analyzing, and synthesizing biomolecular systems. It begins with modeling tools such as reaction-rate equations, reduced-order models, stochastic models, and specific models of important core processes. It then describes in detail the control and dynamical systems tools used to analyze these models. These include tools for analyzing stability of equilibria, limit cycles, robustness, and parameter uncertainty. Modeling and analysis techniques are then applied to design examples from both natural systems and synthetic biomolecular circuits. In addition, this comprehensive book addresses the problem of modular composition of synthetic circuits, the tools for analyzing the extent of modularity, and the design techniques for ensuring modular behavior. It also looks at design trade-offs, focusing on perturbations due to noise and competition for shared cellular resources. Featuring numerous exercises and illustrations throughout, Biomolecular Feedback Systems is the ideal textbook for advanced undergraduates and graduate students. For researchers, it can also serve as a self-contained reference on the feedback control techniques that can be applied to biomolecular systems. Provides a user-friendly introduction to essential concepts, tools, and applications Covers the most commonly used modeling methods Addresses the modular design problem for biomolecular systems Uses design examples from both natural systems and synthetic circuits Solutions manual (available only to professors at press.princeton.edu) An online illustration package is available to professors at press.princeton.edu
Download or read book Handbook of Surface Plasmon Resonance written by Richard B. M. Schasfoort and published by Royal Society of Chemistry. This book was released on 2017-05-30 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surface plasmon resonance (SPR) plays a dominant role in real-time interaction sensing of biomolecular binding events, this book provides a total system description including optics, fluidics and sensor surfaces for a wide researcher audience.
