Extensive molecular dynamics simulations indicate that for time scales
t < tau(g), where tau(g) proportional to N-3v, the dynamical scaling
exponent x = 2 + v(D)/v for a polymer chain in solution is anomalous (
x = 2) in two dimensions, contrary to the well known prediction (x = 3
) of the Zimm model. A numerical solution of the 2D hydrodynamic Zimm
model equations, which extends into the regime t > tau(g), supports th
is value, suggesting a breakdown of dynamical scaling in 2D.