Selfhyphen;avoiding walks with span limitations. I. The mean square endhyphen;tohyphen;end distance

摘要

Selfhyphen;avoiding walks on the simple cubic lattice of lengths up to 11 steps were exactly enumerated. The mean square endhyphen;tohyphen;end distance and its mean square components were recorded as a function of the span separation along one principle Cartesian axis. The molecular weight dependence for narrow spans (thin slabsmdash;up to two lattice spacings) obeys that of a twohyphen;dimensional walk as conjectured by Walletal. As the slab thickness increases, one encounters a dimensionality transition in the behavior of the mean separations which is compared with similar transitions observed for the selfhyphen;avoiding walk in the presence of one interacting barrier. For thick slabs the behavior is three dimensional.