A Monte Carlo simulation on shape of grafted polymer chains

The shape of polymer chain on a simple cubic and a tetrahedral lattice, with one end absorbed by an impermeable walls was studied with Monte Carlo technique. The results show that the shape of grafted polymer chains is more deviated from sphere than that of free ones. The limit value of [L-1(2)] : [L-2(2)] : [L-3(2)] of grafted polymer chains is about 1 : 2.75 : 12.5; the values of [L-2(2)]/[L-1(2)] and [L-3(2)]/[L-1(2)] of grafted polymer chains are bigger than those of free ones, they decrease with the increase of chain length. it is found that the deviation of [L-2(2)]/[L-1(2)] and [L-3(2)]/[L-1(2)] of grafted polymer chains from those of free ones depends on chain's lattice model.