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Anchoring of polymers by traps randomly placed on a line

S. Nechaev·G. Oshanin·A. Blumen
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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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S. Nechaev, G. Oshanin, A. Blumen. 1999-01-25. Anchoring of polymers by traps randomly placed on a line. https://arxiv.org/abs/cond-mat/9901269

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