We investigate by lattice Monte Carlo simulation the kinetics of adsorption
of isolated linear homopolymers onto a flat surface with a strong, short-r
anged attraction for the segments. We focus on limiting cases corresponding
to strong physisorption and chemisorption. initially, the polymer has a co
nformation representative of the bulk (dilute) solution, but with a few per
ipheral segments in contact with the surface. Subsequent adsorption is trac
ked by monitoring a number of mechanical variables. By averaging over initi
al configurations, and over appropriately selected time windows along indiv
idual trajectories, we determine the adsorption kinetics and find the effec
ts of chain length and segment/surface interactions on the characteristic t
ime for adsorption, tau(ads). For all situations investigated, tau(ads) inc
reases algebraically with the number of segments N; i.e., tau(ads) similar
to N-alpha, with alpha being considerably smaller than that for scaling of
the bulk relaxation time of the chain, tau(R). We find that alpha depends o
n the details of the short-ranged surface/segment interaction potential. Th
e results are rationalized with scaling-level analysis.