We investigate the internal structure of a polymer during collapse from an
expanded coil to a compact globule. Collapse is more probable in local regi
ons of high curvature, so a smoothing of the fractal polymer structure occu
rs that proceeds systematically from the shortest to the longest length sca
les. A proposed universal scaling relationship is tested by comparison with
Monte Carlo simulations. We speculate that the universal form applies to v
arious fractal systems with local processes that promote smoothness over ti
me. The results complement earlier work showing that on the macroscale poly
mer collapse proceeds by driven diffusion of the polymer ends. [S1063-651X(
99)01209-X].