We determine the scaling exponents of polymer translocation (PT) through a nanopore by extensive computer simulations of various microscopic models for chain lengths extending up to N=800 in some cases. We focus on the scaling of the average PT time t~Na and the mean-square change of the PT coordinate, ¿s2(t)¿~tß. We find a=1+2¿ and ß=2/a for unbiased PT in two dimensions (2D) and three dimensions (3D). The relation aß=2 holds for driven PT in 2D, with a crossover from a˜2¿ for short chains to a˜1+¿ for long chains. This crossover is, however, absent in 3D where a=1.42±0.01 and aß˜2.2 for N˜40-800.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Publication status||Published - 2008|