We present results of molecular dynamics simulations for a supercooled poly
mer melt confined between two smooth and purely repulsive walls. The thickn
ess D of the him is about 7 times the bulk radius of gyration. For all temp
eratures studied, a significant increase of the monomer and chain mobilitie
s with respect to the bulk is observed. Preliminary results suggest that st
ructural relaxation times exhibit a power-law behavior in the vicinity of a
critical temperature T-c(D) approximate to 0.39 (in Lennard-Jones units).
This estimate of T-c(D) is about 14% smaller than the corresponding bulk va
lue. Despite this significant decrease the time dependence of various mean-
square displacements seems to be unaffected by confinement if data for the
same reduced temperatures T - T-c of the bulk and the film are compared.