  One of the important factors governing the growth morphology of materials is
the interface kinetic coefficient \mu, which is the proportionality constant
between the velocity of solid-liquid interface and undercooling. We employ
Ginzburg-Landau (GL) free energy functional to derive an analytical expression
of kinetic coefficients. The anisotropy of kinetic coefficients naturally arise
from the broken symmetry at the solid-liquid interface for various crystalline
orientations. The analytical expression of kinetic coefficients is compared to
Mikheev-Chernov theory [J. Cryst. Growth 112, 591 (1991)] derived from
hydrodynamic equations. In addition, we use equilibrium density wave profiles
to evaluate kinetic coefficients and compare them with that from MD
simulations. Our results are in good agreement with Mikheev-Chernov theory and
MD simulations and shed lights on a possible origin of anisotropy of
interfacial kinetics.
