Sublimation-front capillary instability (source code)

= Sublimation-front capillary instability
{title2=$\sigma\simeq\dfrac{k}{\rho L}\alpha(G-\Gamma\alpha^2)$}

For a locally linear ice temperature with positive gradient $G$ into the solid, a corrugated <sublimation> front receives a perturbation in <heat flux> proportional to its horizontal wavenumber $\alpha$. The <Gibbs-Thomson effect> suppresses short waves, giving the displayed quasi-static growth rate. It requires $V/(\kappa\alpha)\ll1$ and $|\sigma|/(\kappa\alpha^2)\ll1$, as well as a perturbation depth short enough for the linear background approximation. Unstable modes have $0<\alpha<\sqrt{G/\Gamma}$.