Simulations show that sliding bilayers of colloidal particles can exhibit a
new phase, the ``melt-freeze'' phase, where the layers stochastically alternate
between solidlike and liquidlike states. We introduce a mean field
phenomenological model with two order parameters to understand the interplay of
two adjacent layers while the system is in this remarkable phase. Predictions
from our numerical simulations of a system in the melt-freeze phase include the
tendency of two adjacent layers to be in opposite states (solid and liquid) and
the difference between the fluctuation of the order parameter in one layer
while the other layer is in the same phase compared to the fluctuation while
the other layer is in the opposite phase. We expect this behavior to be seen in
future simulations and experiments.Comment: 6 Pages, 6 figure