ソフトマター物理 · 学部

Diffusion Equation

Atomic section generated from Complete Soft Matter Physics.

公開 2026年4月26日 · 1 分

PDF View

The PDF file is linked, but it has not been added yet.

/sources/complete-soft-matter-physics-diffusion-equation.pdf

For concentration $c(\mathbf r,t)$ , diffusion is modeled by

\frac{\partial c}{\partial t}=D\nabla^2 c.

The diffusion constant $D$ sets the spreading scale $\langle r^2\rangle \sim 2dDt$ in $d$ dimensions.

Atomic section generated from Complete Soft Matter Physics.

Atomic section generated from Complete Soft Matter Physics.

A route through Brownian motion, diffusion, polymers, osmotic pressure, and liquid crystals.