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A Primer of Diffusion Problems

A Primer of Diffusion Problems

          
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About the Book

A Primer of Diffusion Problems A Primer of Diffusion Problems is a concise and lively introduction to diffusion theory in its many guises and to a variety of analytical and numerical methods for the solution of diffusion problems. It discusses the diffusion equation, the steady state, diffusion under external forces, time-dependent diffusion, and similarity, thus bridging mathematical and physical treatments of diffusion. Featured topics include a careful development of the oxidation theory of silicon, properties of the family of error functions, precipitation and phase transformations, a concise introduction to Laplace transforms, and nonlinear boundary conditions. Exercises are found throughout the text, and appendices treat rarely found advanced topics.

Table of Contents:
Partial table of contents: THE DIFFUSION EQUATION. Isotropic One-dimensional Random Walk. Elementary Properties of the Diffusion Equation. Higher Dimensions and Coordinate Systems. STEADY STATE EXAMPLES. The Steady State is Not the Equilibrium State. The Thermal Oxidation of Silicon. The Precipitation of Spherical Particles. DIFFUSION UNDER EXTERNAL FORCES. One-dimensional Anisotropic Random Walk. Diffusivity and Mobility Coefficients. An Introduction to Double-layers. SIMPLE TIME-DEPENDENT EXAMPLES. The Gaussian and One of Its Relatives. Two Applications of Error Functions to One-dimensional Phases. Crystal Growth under Conditions of Constant Cooling Rate. AN INTRODUCTION TO SIMILARITY. Boltzmann's Transformation. Boltzmann's Transformation and Variable Diffusivity. Analytic Solutions for Variable Diffusivity. A USER'S GUIDE TO THE LAPLACE TRANSFORM. Elementary Properties and Further Examples. The Convolution Theorem. A Few Words on Asymptotics. FURTHER TIME-DEPENDENT EXAMPLES. Laser Processing. Thermally Stimulated Diffusion. Application to the Numerical Solution for Nonlinear Surface Conditions. Appendix A: Random Walks in Higher Dimensions. Appendix B: The Phase Rule and Some of Its Consequences. Appendix C: Moments of Distributions and Asymptotic Behavior. Index.


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Product Details
  • ISBN-13: 9780471846925
  • Publisher: John Wiley and Sons Ltd
  • Publisher Imprint: John Wiley & Sons Inc
  • Height: 228 mm
  • No of Pages: 264
  • Spine Width: 13 mm
  • Width: 150 mm
  • ISBN-10: 0471846929
  • Publisher Date: 18 May 1988
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 369 gr


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