The Landau-Vlasov equation is applied to a slab of width L. This geome
try is introduced to simulate somehow the finiteness of real nuclei bu
t to allow for analytical solutions, nevertheless. We focus on the dam
ping of low-frequency surface modes and discuss their friction coeffic
ient. For this quantity we study the macroscopic limit as defined by L
--> infinity. We demonstrate that the same result can be obtained for
finite L by applying an appropriate frequency smoothing, if only the
smearing interval is sufficiently large. The apparent, but important c
onsequences are discussed which this result will have for the understa
nding of the nature of dissipation in real nuclei.