Dynamics of polymeric manifolds in melts: Hartree approximation
Soft Condensed Matter
2009-10-31 v1 Statistical Mechanics
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.
Keywords
Cite
@article{arxiv.cond-mat/9809348,
title = {Dynamics of polymeric manifolds in melts: Hartree approximation},
author = {V. G. Rostiashvili and M. Rehkopf and T. A. Vilgis},
journal= {arXiv preprint arXiv:cond-mat/9809348},
year = {2009}
}
Comments
4 pages,1 figures, accepted by EPJB as a Rapid Note