Anchoring of polymers by traps randomly placed on a line

1999/01/25 by S. Nechaev, Nechaev, S., G. Oshanin +3
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9901269

18 pages (revtex style), 1 eps-figure

arxiv created 1999/01/25 · arxiv updated 2009/11/30

Abstract

We study dynamics of a Rouse polymer chain, which diffuses in a three-dimensional space under the constraint that one of its ends, referred to as the slip-link, may move only along a one-dimensional line containing randomly placed, immobile, perfect traps. For such a model we compute exactly the time evolution of the probability P_sl(t) that the chain slip-link will not encounter any of the traps until time t and consequently, that until this time the chain will remain mobile.

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