Optical microscopic and ellipsometric studies of the spreading of a me
sogenic compound on a rough substrate are reported on. The smectic wet
s the surface and a precursor film grows whose radius R scales like th
e square root of time t: R approximate to (Dt)(1/2). The diffusion coe
fficient decreases with temperature and vanishes several degrees below
the melting temperature, i.e. the solid phase also ''spreads out'' th
rough a precursor film. The effect is analysed in terms of surface-ind
uced premelting. This is the first report on such an effect in mesogen
ic materials.