  The irreversible adsorption of polymers to a two-dimensional solid surface is
studied. An operator formalism is introduced for chemisorption from a
polydisperse solution of polymers which transforms the analysis of the
adsorption process to a set of combinatorial problems on a two-dimensional
lattice. The time evolution of the number of polymers attached and the surface
area covered are calculated via a series expansion. The dependence of the final
coverage on the parameters of the model (i.e. the parameters of the
distribution of polymer lengths in the solution) is studied. Various methods
for accelerating the convergence of the resulting infinite series are
considered. To demonstrate the accuracy of the truncated series approach, the
series expansion results are compared with the results of stochastic
simulation.
