On the microscopic approach to the nonlinear dynamics of entangled polymer meltsR. Stepanyan1, J. J. M. Slot1, 2 and J. Molenaar3
1 Faculty of Science and Technology, University of Twente Postbus 217, 7500AB Enschede, The Netherlands
2 Material Science Centre, DSM Research Postbus 18, 6160MD Geleen, The Netherlands
3 Faculty of Mathematics, Eindhoven University of Technology Postbus 513, 5600MB Eindhoven, The Netherlands
received 21 June 2004; accepted 14 October 2004
published online 17 November 2004
A framework for a consistent description of the correlation effects along polymer chains subject to flow is proposed. The formalism shows how correlations between chain segments in the flow can be incorporated into a hierarchy of distribution functions for tangent vectors. The present description allows to take into account all the relevant relaxation mechanisms for slow flows. Special cases of the derived set of equations are shown to yield some existing models and shed some light on the connection between them.
47.50.+d - Non-Newtonian fluid flows.
83.10.Kn - Reptation and tube theories.
83.60.Df - Nonlinear viscoelasticity.
© EDP Sciences 2004