Supplementary material Number 1

Rheological response at 25 {degree sign}C shear stress-shear strain mode; time-evolution of viscosity as obtained from the samples equilibrated at 60 {degree sign}C in the rheometer; set of intensity autocorrelation functions of sample 09_60_0; example of fit of the autocorrelation function to Eq. (5); plot of relaxation rate vs. q in the horizontal direction for the slow relaxation; relaxation rate vs. aging time for the fast and slow components for the sample 12_63; description of the model adopted to fit the SAXS data; figure illustrating an example of fit of SAXS data according to the model; table of relevant numerical parameters of the model adopted to fit the SAXS data.