Mesoscopic constitutive relations for dilute polymer solutions

Details Mesoscopic constitutive relations for dilute polymer solutions Mesoscopic constitutive relations for dilute polymer solutions

2006-01-06

arxiv.org/abs/cond-mat/0601127v1

Physics

Condensed Matter

Statistical Mechanics

To be published in Physica A (16 pages, 2 figures)

Scientific paper

10.1016/j.physa.2005.12.047

A novel approach to the dynamics of dilute solutions of polymer molecules under flow conditions is proposed by applying the rules of mesoscopic nonequilibrium thermodynamics (MNET). The probability density describing the state of the system is taken to be a function of the position and velocity of the molecules, and on a local vector parameter accounting for its deformation. This function obeys a generalized Fokker-Planck equation, obtained by calculating the entropy production of the system, and identifying the corresponding probability currents in terms of generalized forces. In simple form, this coarse-grained description allows one to derive hydrodynamic equations where molecular deformation and diffusion effects are coupled. A class of non-linear constitutive relations for the pressure tensor are obtained. Particular models are considered and compared with experiments.

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