title: Capillary-wave description of rapid directional solidification.
abstract: A recently introduced capillary-wave description of binary-alloy solidification is generalized to include the procedure of directional solidification. For a class of model systems a universal dispersion relation of the unstable eigenmodes of a planar steady-state solidification front is derived, which readjusts previously known stability considerations. We moreover establish a differential equation for oscillatory motions of a planar interface that offers a limit-cycle scenario for the formation of solute bands and, taking into account the Mullins-Sekerka instability, of banded structures.
authors.affiliation: Institute for Problems of Mechanical Engineering, RAS, Bol'shoi prospekt, V. O. 61, St. Petersburg 199178, Russia.
authors.forename: Alexander L
authors.initials: AL
authors.lastname: Korzhenevskii
authors.forename: Richard
authors.initials: R
authors.lastname: Bausch
authors.forename: Rudi
authors.initials: R
authors.lastname: Schmitz
mesh_terms: D002197:Capillary Action; D003198:Computer Simulation; D008956:Models, Chemical; D008958:Models, Molecular; D009991:Oscillometry / Q000379:methods*; D012996:Solutions / Q000737:chemistry*
chemical_list: D012996:Solutions