Ym. Wang et I. Teraoka, COMPUTER-SIMULATION OF SEMIDILUTE POLYMER-SOLUTIONS IN CONFINED GEOMETRY - PORE AS A MICROSCOPIC PROBE, Macromolecules, 30(26), 1997, pp. 8473-8477
We present a lattice computer simulation study on the geometrical conf
inement effect of polymer solutions in a wide range of concentrations.
Polymer chains were equilibrated for a system that consists of a bulk
solution and a slit between two parallel walls. The partition coeffic
ient of the polymer was determined and found to increase as the bulk c
oncentration phi increased, confirming the theoretical predictions. We
applied the blob picture to analyze the partition coefficient data in
the semidilute regime where the partitioning is considered to be cont
rolled by the ratio of the blob size to the slit width, rather than by
the ratio of the chain dimension to the slit width. Our simulation da
ta and earlier experimental data support the application of the blob t
heory. Furthermore, we found it is possible to estimate the blob size
in the bulk solution directly from the partition coefficient data by a
ssuming that the confinement entropy of the blob depends on the blob s
ize in the same way as the confinement entropy of the individual chain
depends on the chain dimension at infinite dilution. The blob size th
us determined confirms the scaling prediction; namely, the blob size p
roportional to phi(-3/4). Some deviations from this simple picture, ho
wever, exist when the slit is narrow and the solution is concentrated.