Evolution of mechanical strength of interfaces between surfaces of tethered polymer chaims has been studied as a model for the autoadhesion of cross-linked polymers. Chain motion is modeled as restricted diffusion in a tube. We use Helfand and Pearson’s results for the motion of the end of a tethered chain in a tube. The result is a theory that predicts how much more slowly a tethered arm will cross an interface than a free linear chain. The form of the evolution of crossings with time for a (initial growth ∼t1/2) tethered arm is nearly identical to that for linear chains but retarded due to restrictions on their motion.
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Prager et al. (1986) studied this question.
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