Diffusion Phenomena

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Diffusion Phenomena: Cases and Studies

Author : Richard Ghez
Publisher : Courier Dover Publications
ISBN 13 : 048683641X
Total Pages : 337 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Diffusion Phenomena: Cases and Studies by : Richard Ghez

Download or read book Diffusion Phenomena: Cases and Studies written by Richard Ghez and published by Courier Dover Publications. This book was released on 2018-12-19 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative test introduces the basic aspects of diffusion phenomena and their methods of solution through physical examples. It emphasizes modeling and methodology, bridging the gap between physico chemical statements of certain kinetic processes and their reduction to diffusion problems. Author Richard Ghez draws upon his experience in the areas of metallurgy and semiconductor technology to present physically significant examples that will prove of interest to a wide range of scientists — physicists, chemists, biologists, and applied mathematicians. Prerequisites include a rigorous year of calculus and a semester of thermodynamics. The opening chapter on the diffusion equation is succeeded by chapters on steady-state examples, diffusion under external forces, and simple time-dependent examples. An introduction to similarity is followed by explorations of surface rate limitations and segregation, a user's guide to the Laplace transform, and further time-dependent examples.

Growth and Diffusion Phenomena

Author : Robert B. Banks
Publisher : Springer Science & Business Media
ISBN 13 : 3662030527
Total Pages : 465 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Growth and Diffusion Phenomena by : Robert B. Banks

Download or read book Growth and Diffusion Phenomena written by Robert B. Banks and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion and growth phenomena abound in the real world surrounding us. Someexamples: growth of the world's population, growth rates of humans, public interest in news events, growth and decline of central city populations, pollution of rivers, adoption of agricultural innovations, and spreading of epidemics and migration of insects. These and numerous other phenomena are illustrations of typical growth and diffusion problems confronted in many branches of the physical, biological and social sciences as well as in various areas of agriculture, business, education, engineering medicine and public health. The book presents a large number of mathematical models to provide frameworks forthe analysis and display of many of these. The models developed and utilizedcommence with relatively simple exponential, logistic and normal distribution functions. Considerable attention is given to time dependent growth coefficients and carrying capacities. The topics of discrete and distributed time delays, spatial-temporal diffusion and diffusion with reaction are examined. Throughout the book there are a great many numerical examples. In addition and most importantly, there are more than 50 in-depth "illustrations" of the application of a particular framework ormodel based on real world problems. These examples provide the reader with an appreciation of the intrinsic nature of the phenomena involved. They address mainly readers from the physical, biological, and social sciences, as the only mathematical background assumed is elementary calculus. Methods are developed as required, and the reader can thus acquire useful tools for planning, analyzing, designing,and evaluating studies of growth transfer and diffusion phenomena. The book draws on the author's own hands-on experience in problems of environmental diffusion and dispersion, as well as in technology transfer and innovation diffusion.

Numerical methods for diffusion phenomena in building physics

Author : Nathan Mendes
Publisher : PUCPRess
ISBN 13 : 8568324886
Total Pages : 230 pages
Book Rating : 4.5/5 (683 download)

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Book Synopsis Numerical methods for diffusion phenomena in building physics by : Nathan Mendes

Download or read book Numerical methods for diffusion phenomena in building physics written by Nathan Mendes and published by PUCPRess. This book was released on 2017-05-19 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book intends to stimulate research in simulation of diff usion problems in building physics, by fi rst providing an overview of mathematical models and numerical techniques such as the fi nitediff erence and fi nite-element methods traditionally used in building simulation tools. Then, nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. The advantage of these methods includes the improvement of the numerical solution of diff usion phenomena, especially in large domains relevant to building energy performance analysis.

Numerical Methods for Diffusion Phenomena in Building Physics

Author : Nathan Mendes
Publisher : Springer Nature
ISBN 13 : 3030315746
Total Pages : 253 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Numerical Methods for Diffusion Phenomena in Building Physics by : Nathan Mendes

Download or read book Numerical Methods for Diffusion Phenomena in Building Physics written by Nathan Mendes and published by Springer Nature. This book was released on 2019-11-29 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition of Numerical methods for diffusion phenomena in building physics: a practical introduction originally published by PUCPRESS (2016). It intends to stimulate research in simulation of diffusion problems in building physics, by providing an overview of mathematical models and numerical techniques such as the finite difference and finite-element methods traditionally used in building simulation tools. Nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. In this reviewed edition, an innovative way to simulate energy and hydrothermal performance are presented, bringing some light on innovative approaches in the field.

Diffusion Phenomena in Thin Films and Microelectronic Materials

Author : Devendra Gupta
Publisher : William Andrew
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Diffusion Phenomena in Thin Films and Microelectronic Materials by : Devendra Gupta

Download or read book Diffusion Phenomena in Thin Films and Microelectronic Materials written by Devendra Gupta and published by William Andrew. This book was released on 1988 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of diffusion phenomena in thin films and microelectronic materials -- theory and technology.

Modern Aspects of Diffusion-Controlled Reactions

Author : E. Kotomin
Publisher : Elsevier
ISBN 13 : 0080536670
Total Pages : 637 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Modern Aspects of Diffusion-Controlled Reactions by : E. Kotomin

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.

Diffusion Processes and their Sample Paths

Author : Kiyosi Itô
Publisher : Springer Science & Business Media
ISBN 13 : 3642620256
Total Pages : 341 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Diffusion Processes and their Sample Paths by : Kiyosi Itô

Download or read book Diffusion Processes and their Sample Paths written by Kiyosi Itô and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its first publication in 1965 in the series Grundlehren der mathematischen Wissenschaften this book has had a profound and enduring influence on research into the stochastic processes associated with diffusion phenomena. Generations of mathematicians have appreciated the clarity of the descriptions given of one- or more- dimensional diffusion processes and the mathematical insight provided into Brownian motion. Now, with its republication in the Classics in Mathematics it is hoped that a new generation will be able to enjoy the classic text of Itô and McKean.

Spatial Diffusion

Author : Richard Morrill
Publisher : SAGE Publications, Incorporated
ISBN 13 : 9780803926844
Total Pages : 88 pages
Book Rating : 4.9/5 (268 download)

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Book Synopsis Spatial Diffusion by : Richard Morrill

Download or read book Spatial Diffusion written by Richard Morrill and published by SAGE Publications, Incorporated. This book was released on 1988-02-01 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this concise, clear introduction, the authors describe the theory of spatial diffusion, its method of measurement and many of its applications. The seminal work of Torsten Hagerstrand, who introduced the original spatial model of diffusion, is outlined. The authors then summarise the developments that have been made to Hagerstrand's formulation, and make suggestions for future research.

An Introduction to Anomalous Diffusion and Relaxation

Author : Luiz Roberto Evangelista
Publisher : Springer Nature
ISBN 13 : 3031181506
Total Pages : 411 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis An Introduction to Anomalous Diffusion and Relaxation by : Luiz Roberto Evangelista

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.

Diffusion in Solids

Author : Helmut Mehrer
Publisher : Springer Science & Business Media
ISBN 13 : 354071488X
Total Pages : 645 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Diffusion in Solids by : Helmut Mehrer

Download or read book Diffusion in Solids written by Helmut Mehrer and published by Springer Science & Business Media. This book was released on 2007-07-24 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the central aspects of diffusion in solids, and goes on to provide easy access to important information about diffusion in metals, alloys, semiconductors, ion-conducting materials, glasses and nanomaterials. Coverage includes diffusion-controlled phenomena including ionic conduction, grain-boundary and dislocation pipe diffusion. This book will benefit graduate students in such disciplines as solid-state physics, physical metallurgy, materials science, and geophysics, as well as scientists in academic and industrial research laboratories.

Adsorption and Diffusion

Author : Hellmut G. Karge
Publisher : Springer Science & Business Media
ISBN 13 : 3540739661
Total Pages : 411 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Adsorption and Diffusion by : Hellmut G. Karge

Download or read book Adsorption and Diffusion written by Hellmut G. Karge and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Molecular Sieves - Science and Technology" covers, in a comprehensive manner, the science and technology of zeolites and all related microporous and mesoporous materials. The contributions are grouped together topically in such a way that each volume deals with a specific sub-field. Volume 7 treats fundamentals and analyses of adsorption and diffusion in zeolites including single-file diffusion. Various methods of measuring adsorption and diffusion are described and discussed.

NBS Special Publication

Author :
Publisher :
ISBN 13 :
Total Pages : 484 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis NBS Special Publication by :

Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nanophenomena at Surfaces

Author : Michail Michailov
Publisher : Springer Science & Business Media
ISBN 13 : 3642165109
Total Pages : 294 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Nanophenomena at Surfaces by : Michail Michailov

Download or read book Nanophenomena at Surfaces written by Michail Michailov and published by Springer Science & Business Media. This book was released on 2011-02-24 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in nanoscale surface physics. It outlines contemporary trends in the field covering a wide range of topical areas: atomic structure of surfaces and interfaces, molecular films and polymer adsorption, biologically inspired nanophysics, surface design and pattern formation, and computer modeling of interfacial phenomena. Bridging "classical" and "nano" concepts, the present volume brings attention to the physical background of exotic condensed-matter properties. The book is devoted to Iwan Stranski and Rostislaw Kaischew, remarkable scientists, who played a crucial role in setting up the theoretical fundamentals of nucleation and crystal growth phenomena in the last century.

Diffusion and Reactions in Fractals and Disordered Systems

Author : Daniel ben-Avraham
Publisher : Cambridge University Press
ISBN 13 : 0521622786
Total Pages : 334 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Diffusion and Reactions in Fractals and Disordered Systems by : Daniel ben-Avraham

Download or read book Diffusion and Reactions in Fractals and Disordered Systems written by Daniel ben-Avraham and published by Cambridge University Press. This book was released on 2000-11-02 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes diffusion and transport in disordered media such as fractals and random resistor networks.

Advanced Transport Phenomena

Author : P. A. Ramachandran
Publisher : Cambridge University Press
ISBN 13 : 0521762618
Total Pages : 805 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Advanced Transport Phenomena by : P. A. Ramachandran

Download or read book Advanced Transport Phenomena written by P. A. Ramachandran and published by Cambridge University Press. This book was released on 2014-09-25 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrated, modern approach to transport phenomena for graduate students, featuring examples and computational solutions to develop practical problem-solving skills.

Homogenization of Coupled Phenomena in Heterogenous Media

Author : Jean-Louis Auriault
Publisher : John Wiley & Sons
ISBN 13 : 0470610441
Total Pages : 479 pages
Book Rating : 4.4/5 (76 download)

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Book Synopsis Homogenization of Coupled Phenomena in Heterogenous Media by : Jean-Louis Auriault

Download or read book Homogenization of Coupled Phenomena in Heterogenous Media written by Jean-Louis Auriault and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the media. Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions. This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation. The book is divided into four parts whose main topics are Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials. Heat and mass transfers in porous media Newtonian fluid flow in rigid porous media under different regimes Quasi-statics and dynamics of saturated deformable porous media Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.

Diffusion in Gases and Porous Media

Author : Roberto Cunningham
Publisher : Springer Science & Business Media
ISBN 13 : 147574983X
Total Pages : 293 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Diffusion in Gases and Porous Media by : Roberto Cunningham

Download or read book Diffusion in Gases and Porous Media written by Roberto Cunningham and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world we live in exhibits, on different scales, many phenomena related to the diffusion of gases. Among them are the movement of gases in earth strata, the aeration of soils, the drying of certain materials, some catalytic reactions, purification by adsorption, isotope separation, column chro matography, cooling of nuclear reactors, and the permeability of various packing materials. The evolution of the understanding of this subject has not always been straightforward and progressive-there has been much confusion and many doubts and misunderstandings, some of which remain to this day. The main reason for the difficulties in the development of this subject is, we now know, the lack of an understanding of the effects of walls on diffusing systems. Textbooks usually treat diffusion on two levels: at the physicochemi cal or molecular level, making use of the kinetic theory of gases (which while a very rigorous and well-founded theory nevertheless is valid only for systems without walls), or at the level of a transport phenomenon, a level geared toward applications. The influence of walls is usually disregarded or is treated very briefly (for example, by taking account of the Knudsen regime or by introducing a transition regime of limited validity) in a way unconnected with previous studies. As a consequence, the extensive, gener alized, and well-founded knowledge of systems without walls has often been applied without sound basis to real situations, i.e., to systems with walls.