Dynamics of polymeric manifolds in melts: Hartree approximation
arXiv:cond-mat/9809348 · doi:10.1007/s100510050576
Abstract
The Martin-Siggia-Rose functional technique and the self-consistent Hartree approximation is applied to the dynamics of a D-dimensional manifold in a melt of similar manifolds.The generalized Rouse equation is derived and its static and dynamic properties are studied. The static upper critical dimension discriminate between Gaussian and non-Gaussian regimes, whereas its dynamic counterpart discriminates between Rouse- and renormalized-Rouse behavior. The dynamic exponents are calculated explicitly. The special case of linear chains shows agreement with MD- and MC-simulations.
4 pages,1 figures, accepted by EPJB as a Rapid Note