A response theory is constructed for systems with deterministic, nonrandom dynamics which are not governed by Hamiltonian mechanics. This theory is used to compute the response of a polymeric solution (modeled as elastic dumbbells suspended in a Newtonian solvent) to a flow field. This externally imposed flow displaces the system from its initial state of equilibrium and causes each function of state to respond in a characteristic way. The response function of greatest interest is the fluid stress tensor. We present a correlation function expression for this tensor and derive Kubohyphen;like formulas for a number of material functions, namely, the shear and extensional viscosities and the primary and secondary normal stress coefficients associated with laminar flows. Finally, an expression is obtained for the extra stress due to turbulent flow.
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