V. Blavatska, C. von Ferber, Yu. Holovatch
We present analysis of the impact of structural disorder on the static scattering function of f-armed star branched polymers in d dimensions. To this end, we consider the model of a star polymer immersed in a good solvent in presence of structural defects, correlated on large distances r according to a power law \sim r^{-a}. In particular, we are interested in the ratio g(f) of scattering intensities of star and linear polymers of the same molecular weight, which is a universal experimentally measurable quantity. We apply the direct polymer renormalization approach and evaluate results within the double \varepsilon=4-d, \delta=4-a-expansion. We find an increase of g(f) with increasing \delta. Therefore, an increase of disorder correlations leads to decrease of distinction between the size measure of a star and linear polymers of the same molecular weight.
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http://arxiv.org/abs/1207.2881
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