Abstract

There have been several recent papers on the influence of a fixed disordered background on the statistics of polymer solutions. A simple example is given to slow the methods involved by calculating the osmotic pressure within a vesicle which is crossed by polymer molecules of permanent orientation. This means that a free polymer solution experienced the fixed molecules as a permanent disordered background. The problem is solved by a simple replica on the high concentration limit. If u is a measure of the excluded volume, and w a measure of the fixed disorded molecules, the osmotic pressure is ▪ This is considered in the light of the possible localisation of polymers by the disorder which is a different limiting case. Reality presumably lies between these limits.

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