Dynamics of polymeric manifolds in melts: the Hartree approximation |
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| Authors: | VG Rostiashvili M Rehkopf TA Vilgis |
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| Institution: | (1) Max-Planck-Institut für Polymerforschung, Postfach 3148, 55021 Mainz, Germany, DE;(2) Chemical Physics, Russian Academy of Science, 142432, Chernogolovka, Moscow region, Russia, RU |
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| Abstract: | The Martin-Siggia-Rose functional technique and the selfconsistent 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, d
uc
=2D/(2-D), discriminates between Gaussian (or screened) and non-Gaussian regimes, whereas its dynamical counterpart, , discriminates between Rouse- and renormalized-Rouse behavior. The Rouse modes correlation function in a stretched exponential
form and the dynamical exponents are calculated explicitly. The special case of linear chains D=1 shows agreement with Monte-Carlo simulations.
Received: 22 May 1998 / Received in final form: 31 August 1998 / Accepted: 8 September 1998 |
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| Keywords: | PACS 05 20 -y Statistical mechanics[:AND:] 83 10 Nn Polymer dynamics - 02 40 Vh Global analysis and analysis on manifolds |
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