Nonlinear force and tensorial mobility in a kinetic theory for polymer liquids

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Abstract
A stochastic differential equation for the global length and orientation of a flexible macromolecule is studied. A non-Hookean internal force law, a tensorial mobility, and an approximate form of the hydrodynamic interaction are taken into consideration. An equation for the equal-time correlation function is obtained in mean-field approximation, the constitutive equation is derived and the material functions are calculated for steady elongational and shear flows.