Europhys. Lett.
Volume 68, Number 6, December 2004
Page(s) 832 - 838
Section Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid dynamics
Published online 17 November 2004
Europhys. Lett., 68 (6), pp. 832-838 (2004)
DOI: 10.1209/epl/i2004-10277-3

On the microscopic approach to the nonlinear dynamics of entangled polymer melts

R. 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