Steady-state compliance Rouse theory

Fig. 10.11 Comparison of the steady-state compliance data, x pRT, of nearly monodisperse polystyrene samples ( and from Ref. 18 A from Ref. 33) and those calculated from Eq. (9.25) (solid line 1), from the Doi-Edwards theory (the dashed line), from the Rouse theory (the dotted line), and calculated numerically from substituting Eq. (9.19) into Eq. (4.63) with K jK = 1 (line 2), and K jK = 3.3 (line 3).

For the restricted case of low molecular weights and no coupling entanglements, the viscoelastic properties of star-branched undiluted polymers can be described by a special case of the Zimm-Kilb theory o in which there is no hydrodynamic interaction. Calculations were made by Ham i by use of a method which is somewhat different from that of Rouse but yields the same results for unbranched molecules. Stars with arms of unequal length were included. For such a branched molecule, the terminal relaxation time ti, the viscosity r/o, and the steady-state compliance are always smaller than for an unbranched molecule of the same molecular weight the more branches and the more nearly equal their lengths, the... 

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