Some physicists have forayed into material science problems. There they find a some richly complex behavior, most succinctly summed up in these equations:
\[\begin{aligned}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x - y - xz \\
\dot{z} & = -\beta z + xy
\end{aligned} \]
Also, Dan, I should have asked you in person: did you get to see the wordpress setup at tasharp.com? Equations can be added to WP but I haven't looked into that recently.