We present the results of a Molecular Dynamics computer simulation of a bin
ary Lennard-Jones liquid confined in a narrow pore. The surface of the pore
has an amorphous structure similar to that of the confined liquid. We find
that the static properties of the liquid are not affected by the confineme
nt, while the dynamics changes dramatically. By investigating the time and
temperature dependence of the intermediate scattering function we show that
the dynamics of the particles close to the center of the tube is similar t
o the one in the bulk, whereas the characteristic relaxation time tau q(T,r
ho) Of the intermediate scattering function at wavevector q and distance rh
o from the axis of the pore increases continuously when approaching the wal
l, leading to an apparent divergence in the vicinity of the wall. This effe
ct is seen for intermediate temperatures down to temperatures close to the
glass transition. The rho-dependence of tau q(T, rho) can be described by a
n empirical law of the form tau(q)(T, rho) = f(q)(T) exp[Delta(q)/rho(p) -
rho)], where Delta(q) and rho(q) are constants, and f(q)(T) is the only par
ameter which shows a significant temperature dependence.