Twice renormalized Rouse model

Table 3. Theoretical dependences on time (f), angular frequency (< ), molecular mass (M), or number of Kuhn segments (JV) predicted by the twice renormalized Rouse model for the mean squared segment displacement and the intrasegment spin-lattice relaxation time. The factors Q, C , and C / are frequency and molecular mass independent con-...

The appearance of dispersion regions I and II in experiments is an exultant confirmation of the high- and low-mode-number, short-time limits predicted by the twice renormalized Rouse models (Tables 2 and 3). The exponents of the power laws suggested by the experimental data even match the theoretical predictions almost perfectly [47, 49]. Nevertheless, the good coincidence of the numerical values of these exponents is not considered to be the decisive finding backing up the renormalized Rouse models. The problem is that the theoretical exponents are slightly affected by the renormalization... 

The time dependence of the mean squared segment displacement in the laboratory frame was derived on the relevant time scale as low-mode-number, short-time limits of the renormalized and twice renormalized Rouse models as and (R ,(f)) oc (limit (II)trr)> respectively... 

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