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Kinetic Processes in Materials >> Content Detail



Lecture Notes



Lecture Notes

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.


SES #TOPICSSUPPORTING FILES
L1Introduction: Fields and Gradients; Fluxes; Continuity Equation (PDF)
L2Irreversible Thermodynamics (PDF)
L3Driving 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.
L4Interdiffusion; Effects of Electrical Potential, Capillarity, and Stress on Diffusion Potential (PDF)
L5Effects of Capillarity and Stress on Diffusion (PDF)
L6The Diffusion Equation (PDF)
L7Solutions to the Diffusion Equation - I (PDF)
L8Solutions to the Diffusion Equation - II (PDF)
L9Solutions 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.
L10Activated Jump Processes (PDF)
L11Diffusion Resulting from Discrete Jumps (PDF)
L12Diffusion in Crystals (PDF)
L13Atomic Models for Diffusivities - I (PDF)
L14Atomic Models for Diffusivities - II (PDF)
L15Short-Circuit Diffusion in Crystals (PDF)
L16Diffusion in Noncrystalline Materials (PDF)
L17Surface Evolution Due to Capillary Forces (PDF)
L18Particle Coarsening (PDF)
L19Grain Growth (PDF)
L20Diverse Short Topics: Anisotropic Surfaces, Diffusional Creep, and Sintering (PDF)
L21General Features of Phase Transformations (PDF)
L22Spinodal 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.
L23Spinodal 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.
L24Nucleation (PDF)
L25Heterogeneous Nucleation (PDF)
L26Diffusional Growth (PDF)
L27Morphological 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.
L28Kinetics of Nucleation and Growth Transformations (PDF)

 








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