Homework 3

Understanding Diffusion

Choose 1 problem from "Diffusion in 1d", one more problem from the list "Diffusion in 3d", and do problem 8.

Diffusion in 1d

• 1. Binomial Distribution, Diffusion, Central Limit Theorem

• 2. Mean time to capture by diffusion in 1 dimension

• 3. Steady state solution of the diffusion eq in 1 dimension

• 4. Comparing numerical and analytic solutions to the diffusion eq.

Diffusion in 3d

• 5. Probability of capture by a spherical adsorber by diffusion

• 6. Diffusion to a disk-like adsorber

• 7. Diffusion through many circular apertures in a planar barrier

Experimental techniques

• 8. Using FRAP to determine a diffusion coefficient