Soft Matter Physics · undergrad

Diffusion Equation

Atomic section generated from Complete Soft Matter Physics.

Published Apr 26, 2026 · 1 min

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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.