%0 Journal Article %T Anchoring of polymers by traps randomly placed on a line %A S. Nechaev %A G. Oshanin %A A. Blumen %J Physics %D 1999 %I arXiv %X 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. %U http://arxiv.org/abs/cond-mat/9901269v1