From crystal steps to continuum laws: Behavior near large facets in one dimension

► The derivation of boundary conditions at facets for continuum solutions of PDEs from (discrete) difference schemes in several kinetic regimes. ► Testing and verifying the hypothesis of 'local equilibrium'. ► Extension of these results to multipole interaction energies between steps. ► Analytical description of how microscopic kinetics at extremal steps can influence surface profiles macroscopically.