Special software is required to use some of the files in this section: .nb and .tif.
The following table presents a thorough summary of each lecture session.
Lecture notes files.
| SES # |
TOPICS |
SUPPORTING FILES |
| L1 |
Introduction: Fields and Gradients; Fluxes; Continuity Equation (PDF) |
|
| L2 |
Irreversible Thermodynamics (PDF) |
|
| L3 |
Driving Forces and Fluxes for Diffusion; Self-Diffusion and Interdiffusion (PDF) |
Scalar Fields, Fluxes, and Accumulation, scalar_field.nb (NB) (Courtesy of Prof. Craig Carter. Used with permission.)
Illustrates the behavior of the concentration around a line source that is diffusing into an infinite isotropic medium. |
| L4 |
Interdiffusion; Effects of Electrical Potential, Capillarity, and Stress on Diffusion Potential (PDF) |
|
| L5 |
Effects of Capillarity and Stress on Diffusion (PDF) |
|
| L6 |
The Diffusion Equation (PDF) |
|
| L7 |
Solutions to the Diffusion Equation - I (PDF) |
|
| L8 |
Solutions to the Diffusion Equation - II (PDF) |
|
| L9 |
Solutions to the Diffusion Equation - III (PDF) |
Solutions to the Diffusion Equation, diffusion_soln.nb (NB) (Courtesy of Miguel Marioni. Used with permission.)
Numerical work illustrating some solutions to diffusion boundary-value problems; plots of closed form solutions as well as solutions by finite differences. |
| L10 |
Activated Jump Processes (PDF) |
|
| L11 |
Diffusion Resulting from Discrete Jumps (PDF) |
|
| L12 |
Diffusion in Crystals (PDF) |
|
| L13 |
Atomic Models for Diffusivities - I (PDF) |
|
| L14 |
Atomic Models for Diffusivities - II (PDF) |
|
| L15 |
Short-Circuit Diffusion in Crystals (PDF) |
|
| L16 |
Diffusion in Noncrystalline Materials (PDF) |
|
| L17 |
Surface Evolution Due to Capillary Forces (PDF) |
|
| L18 |
Particle Coarsening (PDF) |
|
| L19 |
Grain Growth (PDF) |
|
| L20 |
Diverse Short Topics: Anisotropic Surfaces, Diffusional Creep, and Sintering (PDF) |
|
| L21 |
General Features of Phase Transformations (PDF) |
|
| L22 |
Spinodal Decomposition and Continuous Ordering (PDF) |
BCC Alloys in the Bragg-Williams Approximation, bcc_alloys.nb (NB)
Free energy model for BCC and CsCl structure with first-neighbor interactions. Calculates miscibility gap for W < 0 and excess free energy per unit area of diffuse interface. |
| L23 |
Spinodal Decomposition Kinetics (PDF) |
Kinetics of Spinodal Decomposition, spinodal.nb (NB)
Extension of the prior lecture's Mathematica notebook, to cover kinetics of spinodal decomposition including kinetic and thermodynamic wavenumbers, temperature dependence, etc. |
| L24 |
Nucleation (PDF) |
|
| L25 |
Heterogeneous Nucleation (PDF) |
|
| L26 |
Diffusional Growth (PDF) |
|
| L27 |
Morphological Stability of Moving Interfaces (PDF) |
Diffusional Growth, diffusion_growth.nb (NB)
This Mathematica notebook covers growth of a spherical precipitate from supersaturated solution. Calculates rate constant for diffusional growth, interfacial velocity, concentration profile in matrix using exact solution. Explores using stationary-field approximation to calculate interface velocity and concentration profile. Introduces spherical harmonic functions for describing shape perturbations of a sphere.
Ni-Cr Equilibrium Diagram, CrNi.tif (TIF) (Reprinted with permission of ASM International®. All rights reserved.)
This illustration accompanies the Mathematica notebook on Diffusional Growth. To load in the notebook, place this file in your user directory. |
| L28 |
Kinetics of Nucleation and Growth Transformations (PDF) |
|