English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider dynamics of an isolated polymer chain with a chemically activeend-bead on a 2D solid substrate containing immobile, randomly placedchemically active sites (traps). For a particular situation when the end-beadcan be irreversibly trapped by any of these sites, which results in a completeanchoring of the whole chain, we calculate the time evolution of theprobability $P_{ch}(t)$ that the initially non-anchored chain remains mobileuntil time $t$. We find that for relatively short chains $P_{ch}(t)$ follows atintermediate 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 thefluctuation-induced dependence $ln P_{ch}(t) \sim - t^{1/2}$, associated withfluctuations in the spatial distribution of traps. We show next that for longchains the kinetic behavior is quite different; here the intermediate-timedecay is of the form $ln P_{ch}(t) \sim - t^{1/2}$, which is theSmoluchowski-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 betweenfluctuations in traps distribution and internal relaxations of the chain.Comment: Latex file, 19 pages, one ps figure, to appear in PR

Kinetics of anchoring of polymer chains on substrates with chemically active sites