Dynamics of polymeric manifolds in melts: Hartree approximation

Details Dynamics of polymeric manifolds in melts: Hartree approximation Dynamics of polymeric manifolds in melts: Hartree approximation

1998-09-25

arxiv.org/abs/cond-mat/9809348v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages,1 figures, accepted by EPJB as a Rapid Note

Scientific paper

10.1007/s100510050576

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.

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