Simulating Diffusivity in Electroceramic Thin Films

[Pamin]

I'm doing electroceramic thin films for DRA applications. I'm realized, it is hard to observe diffusivity in film layer since the thickness is in nanosize, even by AFM and SEM only shows grains size and distribution. So I'm making basic assumption growth of the grain represent diffusivity as small grain will diffuse into larger grain.. Somehow, I believe in terms of modeling, we can simulate the diffusivity of the film's layer. I'm interested on how Fick's Law used to simulate diffusivity in solid materials. Anyone, especially major in mathematic whose can derive or suggest any assumption based on this law, feel free to comment. I'm really looking to it.. tq :) :) :) :)

 

[Navin A S]

Fick's Law states that the rate of diffusion is proportional to the concentration gradient. This means that the higher the concentration gradient across a material, the faster the rate of diffusion. To simulate diffusivity in a solid material using Fick's Law, you would need to first determine the concentration gradient, then calculate the diffusion rate based on that gradient. You could also use numerical methods to solve for the diffusion rate. For example, you could use the finite difference method or the finite element method to numerically solve for the diffusion rate. Additionally, you could use mathematical models such as the diffusion equation or the heat equation to describe the diffusion process.