Dynamical Scaling Anomaly for a Two Dimensional Polymer Chain in Solution

Extensive molecular dynamics simulations indicate that for time scales t<τg, where τg∝N^3ν, the dynamical scaling exponent x0ex0ex=0ex0ex2+νD/ν for a polymer chain in solution is anomalous ( x0ex0ex=0ex0ex2) in two dimensions, contrary to the well known prediction ( x0ex0ex=0ex0ex3) of the Zimm model. A numerical solution of the 2D hydrodynamic Zimm model equations, which extends into the regime t>τg, supports this value, suggesting a breakdown of dynamical scaling in 2D.