The dynamic exponent of the diffusion coefficient of a long polymer chain in good solvents
S. Stepanow · Journal of Physics A Mathematical and General · 1984
The path integral formulation of polymer dynamics proposed by the author enables one to obtain perturbation expansions for the transport quantities in powers of the excluded volume and the hydrodynamic interactions. The renormalisation-group analysis of the perturbation expansion of the diffusion coefficient gives, to first order of epsilon =4-d (d is the space dimension), the dynamic exponent a(D approximately N -a )a=1/2+ epsilon /2o, where a= nu D .