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.

Readable and authoritative text teaches basics of diffusion phenomena and their methods of solution through physical examples. Emphasis on modeling, methodology bridging physico-chemical statements and reduction to diffusion problems. 2001 edition.

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.

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.

A comprehensive review of diffusion phenomena in thin films and microelectronic materials -- theory and technology.

This volume of Diffusion Foundations entitled Diffusion Phenomena in Engineering Materials captures an important cross section of the contemporary scene of diffusion in solids, ranging from the fundamental science of diffusion through to the application of diffusion concepts in technology. The chapters are written by well-acknowledged experts in their respective areas. In the first chapter, Professor Dayananda provides an in depth overview of some of the important findings from the vast literature on multicomponent diffusion in alloys. In Chapter 2, Professors Belova and Murch and co-workers describe a new solution to the important problem of accurately estimating a tracer diffusivity in a binary alloy, given the other tracer diffusivity, the interdiffusivity and thermodynamic factor. This is followed by Chapter 3 where Professor Lidiard gives a penetrating perspective on the state of knowledge about the Soret effect and thermodiffusion (thermotransport) in solids. In Chapter 4, Professor Kozlowski and colleagues describe important new findings about the critical dimensions of ferromagnetic nanoparticles of iron. This is followed by Chapter 5 where Professor çimenoglu and co-workers present an in depth overview of surface hardening of titanium and its alloys by way of diffusion of the interstitial atoms of oxygen, nitrogen and boron. In Chapter 6 Professor Morton-Blake describes fascinating new molecular dynamics simulations of sodium and chloride ions in a synthetic ion channel in a membrane. Finally, in Chapter 7, Professor Seetharaman and colleagues describe the important role of diffusion phenomena in process metallurgy. We wish to thank the authors for their prompt contributions and the reviewers for their input.