摘要
The size and the shape of non-reversal random-walking polymerchains near an impenetrable, non- interacting flat surface areinvestigated by means of Monte Carlo simulation on the simple cubiclattice. It was found that both size and shape are dependent on thenormal-to-surface distance z_0 of the first segment of chain. We findthat the size and shape of chains, characterized by mean squareradius of gyration and mean asphericity parameter respectively, show similar dependence on distance z_0.
The size and the shape of non-reversal random-walking polymer chains near an impenetrable, non-interacting flat surface are investigated by means of Monte Carlo simulation on the simple cubic lattice. It wasfound that both size and shape are dependent on the normal-to-surface distance z0 of the first segment of chain. Wefind that the size and shape of chains, characterized by mean square radius of gyration <S2> and mean asphericityparameter respectively, show similar dependence on distance z0. Both <S2> and reach the maximum atz0 = 0, then decrease with the increase of z0 and soon reach the minimum values, afterwards they go up continuouslyand approach to the limit values of free chain. The similar dependence of <S2> and on z0 can be explained by apositive correlation between A and S2. However, the dependence of the correlation coefficient CA,S2 on z0 is verycomplicated and deserves further study. The overall density probability of segments is also investigated. Resultsshow that segments near the surface are relatively less, and the symmetrical distribution disappears when the chainlocates near the surface.
基金
Supported by the National Natural Science Foundation of China (No. 20076038).