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Kinetics of Anchoring of Polymer Chains on Substrates with Chemically Active Sites | G.Oshanin
; S.Nechaev
; A.M.Cazabat
; M.Moreau
; | Date: |
13 Jul 1998 | Journal: | Phys. Rev. E 58, 6134 (1998) | Subject: | Soft Condensed Matter; Materials Science | cond-mat.soft cond-mat.mtrl-sci | Affiliation: | 2,3), A.M.Cazabat and M.Moreau ( LPTL, Universite de Paris VI, France; IPN, Orsay, France and Landau Institute, Moscow, Russia; LPMC, College de France, Paris, France | Abstract: | We consider dynamics of an isolated polymer chain with a chemically active end-bead on a 2D solid substrate containing immobile, randomly placed chemically active sites (traps). For a particular situation when the end-bead can be irreversibly trapped by any of these sites, which results in a complete anchoring of the whole chain, we calculate the time evolution of the probability $P_{ch}(t)$ that the initially non-anchored chain remains mobile until time $t$. We find that for relatively short chains $P_{ch}(t)$ follows at intermediate times a standard-form 2D Smoluchowski-type decay law $ln P_{ch}(t) sim - t/ln(t)$, which crosses over at very large times to the fluctuation-induced dependence $ln P_{ch}(t) sim - t^{1/2}$, associated with fluctuations in the spatial distribution of traps. We show next that for long chains the kinetic behavior is quite different; here the intermediate-time decay is of the form $ln P_{ch}(t) sim - t^{1/2}$, which is the Smoluchowski-type law associated with subdiffusive motion of the end-bead, while the long-time fluctuation-induced decay is described by the dependence $ln P_{ch}(t) sim - t^{1/4}$, stemming out of the interplay between fluctuations in traps distribution and internal relaxations of the chain. | Source: | arXiv, cond-mat/9807184 | Services: | Forum | Review | PDF | Favorites |
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