Download or read book Diffusion Limited Reactions in Poorly Mixed Environments written by Daniel Reeves and published by . This book was released on 2010 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion limited Reactions in Crowded Environments written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion-limited reactions are usually described within the Smoluchowski theory, which neglects interparticle interactions. We propose a simple way to incorporate excluded-volume effects building on simulations of hard sphere in the presence of a sink. For large values of the sink-to-particle size ratio Rs, the measured encounter rate is in good agreement with a simple generalization of the Smoluchowski equation at high densities. Reducing Rs, the encounter rate is substantially depressed and becomes even nonmonotonic for Rs≪1. Concurrently with the saturation of the rate, stationary density waves set in close to the sink. A mean-field analysis helps to shed light on the subtle link between such ordering and the slowing down of the encounter dynamics. Finally, we show how an infinitesimal amount of nonreacting impurities can equally slow down dramatically the reaction.
Download or read book Introduction to Reaction Diffusion Equations written by King-Yeung Lam and published by Springer Nature. This book was released on 2022-12-01 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.
Download or read book Diffusion limited Reactions written by Stephen A. Rice and published by . This book was released on 1985 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teil 2
Download or read book Pore Scale Phenomena Frontiers In Energy And Environment written by John M Poate and published by World Scientific. This book was released on 2015-04-09 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of pore scale phenomena is now emerging as one of the frontiers of science and many engineering disciplines. Transport phenomena in the subsurface of the earth play key roles in the energy and environmental domains. For example, the shale gas and oil boom is revolutionizing the world's energy portfolio. Pore scale phenomena from the nanoscale to mesoscale dominate the extraction of these resources. Similarly in the environmental domain, pore storage and pore-scale physics affect the availability of water resources and protecting its quality. Water flow and vapor transport in the pores near the land surface is critical to understanding soil water evaporation in the context of local and global hydrologic cycles affecting climate and climate change.Pore scale phenomena similarly play critical roles in the domain of materials science and biology. For example, many energy devices and membrane technologies are controlled by the physical and chemical properties of the pores. Identifying and analyzing the properties of these pores has emerged as a frontier of characterization science.This book provides, for the first time, a comprehensive overview of the fascinating interrelationship between engineering and science. The authors and contributors are recognized experts from the faculty of the Colorado School of Mines, Northwestern and Stanford. This book will appeal to earth and environmental scientists, materials scientists, physicists and chemists.
Download or read book New Frontiers in Nanochemistry Concepts Theories and Trends written by Mihai V. Putz and published by CRC Press. This book was released on 2020-05-10 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 1: Structural Nanochemistry is the first volume of the new three-volume set that explains and explores the important concepts from various areas within the nanosciences. This first volume focuses on structural nanochemistry and encompasses the general fundamental aspects of nanochemistry while simultaneously incorporating crucial material from other fields, in particular mathematic and natural sciences, with specific attention to multidisciplinary chemistry. Under the broad expertise of the editor, the volume contains 50 concise yet comprehensive entries from world-renowned scholars, alphabetically organizing a multitude of essential basic and advanced concepts, ranging from algebraic chemistry to new energy technology, from the bondonic theory of chemistry to spintronics, and from fractal dimension and kinetics to quantum dots and tight binding—and much more. The entries contain definitions, short characterizations, uses and usefulness, limitations, references, and more.
Download or read book Boron Isotopes written by Horst Marschall and published by Springer. This book was released on 2017-11-16 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new volume on boron isotope geochemistry offers review chapters summarizing the cosmochemistry, high-temperature and low-temperature geochemistry, and marine chemistry of boron. It also covers theoretical aspects of B isotope fractionation, experiments and atomic modeling, as well as all aspects of boron isotope analyses in geologic materials using the full range of solutions and in-situ methods. The book provides guidance for researchers on the analytical and theoretical aspects, as well as introducing the various scientific applications and research fields in which boron isotopes currently play a major role. The last compendium to summarize the geochemistry of boron and address its isotope geochemistry was published over 20 years ago (Grew &Anovitz, 1996, MSA Review, Vol.33), and there have since been significant advances in analytical techniques, applications and scientific insights into the isotope geochemistry of boron. This volume in the “Advances in Isotope Geochemistry” series provides a valuable source for students and professionals alike, both as an introduction to a new field and as a reference in ongoing research. Chapters 5 and 8 of this book are available open access under a CC BY 4.0 license at link.springer.com
Download or read book Biological Clocks Rhythms and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.
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 Reaction Kinetics in Low dimensional Diffusion limited Systems written by Hailin Peng and published by . This book was released on 2005 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Principles of Environmental Thermodynamics and Kinetics written by Kalliat T. Valsaraj and published by CRC Press. This book was released on 2018-04-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental engineering, is by its very nature, interdisciplinary and it is a challenge to develop courses that will provide students with a thorough broad-based curriculum that includes every aspect of the environmental engineering profession. Environmental engineers perform a variety of functions, most critical of which are process design for waste treatment or pollution prevention, fate and transport modeling, green engineering, and risk assessment. Chemical thermodynamics and chemical kinetics, the two main pillars of physical chemistry, are two of the many subjects that are crucial to environmental engineering. Based on the success of the successes of previous editions, Principles of Environmental Thermodynamics and Kinetics, Fourth Edition, provides an overarching view of the applications of chemical thermodynamics and kinetics in various aspects of the field of environmental science and engineering. Written by experts in the field, this new edition offers an improved logical progression of the text with principles and applications, includes new case studies with current relevant environmental events and their relationship to thermodynamics and kinetics, and adds examples and problems for the updated environmental events. It also includes a comprehensive analysis of green engineering with relation applications, updated appendices, and an increased number of thermodynamic and kinetic data for chemical species. While it is primarily intended for undergraduate students at the junior/senior level, the breadth and scope of this book make it a valuable resource for introductory graduate courses and a useful reference for environmental engineers.
Download or read book The causes and consequences of microbial community structure written by Diana Reid Nemergut and published by Frontiers E-books. This book was released on 2015-01-22 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The causes and consequences of differences in microbial community structure, defined here as the relative proportions of rare and abundant organisms within a community, are poorly understood. Articles in “The Causes and Consequences of Microbial Community Structure”, use empirical or modeling approaches as well as literature reviews to enrich our mechanistic understanding of the controls over the relationship between community structure and ecosystem processes. Specifically, authors address the role of trait distributions and tradeoffs, species-species interactions, evolutionary dynamics, community assembly processes and physical controls in affecting ‘who’s there’ and ‘what they are doing.’
Download or read book Continuation and Bifurcations Numerical Techniques and Applications written by Dirk Roose and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
Download or read book Kenetics of Diffusion limited Reactions in Confined Domains written by Sung Hyun Park and published by . This book was released on 2004 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Slipcover for The John Zink Hamworthy Combustion Handbook written by Charles E. Baukal Jr. and published by CRC Press. This book was released on 2018-10-03 with total page 1184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the length of time it has been around, its importance, and vast amounts of research, combustion is still far from being completely understood. Issues regarding the environment, cost, and fuel consumption add further complexity, particularly in the process and power generation industries. Dedicated to advancing the art and science of industr
Download or read book Environmental Modeling and Health Risk Analysis Acts Risk written by Mustafa Aral ARAL and published by Springer Science & Business Media. This book was released on 2010-07-28 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental Modeling and Health Risk Analysis (ACTS/RISK) The purpose of this book is to provide the reader with an integrated perspective on several ?elds. First, it discusses the ?elds of environmental modeling in general and multimedia (the term “multimedia” is used throughout the text to indicate that environmental transformation and transport processes are discussed in association with three environmental media: air, groundwater and surface water pathways) environmental transformation and transport processes in particular; it also provides a detailed description of numerous mechanistic models that are used in these ?elds. Second, this book presents a review of the topics of exposure and health risk analysis. The Analytical Contaminant Transport Analysis System (ACTS) and Health RISK Analysis (RISK) software tools are an integral part of the book and provide computational platforms for all the models discussed herein. The most recent versions of these two software tools can be downloaded from the publisher’s web site. The author recommends registering the software on the web download page so that users can receive updates about newer versions of the software.
Download or read book The John Zink Hamworthy Combustion Handbook written by Charles E. Baukal Jr. and published by CRC Press. This book was released on 2012-12-13 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the length of time it has been around, its importance, and vast amounts of research, combustion is still far from being completely understood. Environmental, cost, and fuel consumption issues add further complexity, particularly in the process and power generation industries. Dedicated to advancing the art and science of industrial combusti
