Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice

Abstract

Using exact enumerations of self-avoiding walks (SAWs) we compute the inhomogeneous pressure exerted by a two-dimensional end-grafted polymer on the grafting line which limits a semi-infinite square lattice. The results for SAWs show that the asymptotic decay of the pressure as a function of the distance to the grafting point follows a power-law with an exponent similar to that of gaussian chains and is, in this sense, independent of excluded volume effects.