Brownian Dynamics Investigations of the Scattering Function of Ideal and Excluded Volume Ring Polymers in Higher Dimensions

ABSTRACT Brownian dynamics are used to investigate the scattering functions of ideal and excluded volume ring polymers in two to seven spatial dimensions. The scattering functions for ideal and excluded volume polymers examined are in very good agreement with theoretical predictions in all dimensions. As the dimension is increased, the scattering functions for the excluded volume rings converge toward the ideal results, although more slowly than in the case of linear polymers. These findings indicate that excluded volume rings behave more and more as ideal ones as the dimension gets larger, with dimension four being the cross‐over point.