How long does it take to pull an ideal polymer into a small hole?

S. Nechev (LPTMS, Orsay & Landau ITP, Moscow)


We present scaling estimates for characteristic times tau_lin and tau_br of pulling ideal linear and randomly branched polymers of molecular weight N into a small hole by a force f. We show that the adsorption process develops as sequential straightening of folds of the initial polymer configuration. We arrive at the following predictions: τlin ~ N3/2f-1 and τbr ~ N5/4f-1. We confirm our finding by the molecular dynamics experiment. (A.Grosberg, S.Nechaev, M.Tamm, O.Vasilyev, cond-mat/0510418).