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Issue 13, 2017
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Marginally compact hyperbranched polymer trees

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Abstract

Assuming Gaussian chain statistics along the chain contour, we generate by means of a proper fractal generator hyperbranched polymer trees which are marginally compact. Static and dynamical properties, such as the radial intrachain pair density distribution ρpair(r) or the shear-stress relaxation modulus G(t), are investigated theoretically and by means of computer simulations. We emphasize that albeit the self-contact density Image ID:c7sm00243b-t1.gif diverges logarithmically with the total mass N, this effect becomes rapidly irrelevant with increasing spacer length S. In addition to this it is seen that the standard Rouse analysis must necessarily become inappropriate for compact objects for which the relaxation time τp of mode p must scale as τp ∼ (N/p)5/3 rather than the usual square power law for linear chains.

Graphical abstract: Marginally compact hyperbranched polymer trees

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Publication details

The article was received on 03 Feb 2017, accepted on 13 Mar 2017 and first published on 13 Mar 2017


Article type: Paper
DOI: 10.1039/C7SM00243B
Citation: Soft Matter, 2017,13, 2499-2512
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    Marginally compact hyperbranched polymer trees

    M. Dolgushev, J. P. Wittmer, A. Johner, O. Benzerara, H. Meyer and J. Baschnagel, Soft Matter, 2017, 13, 2499
    DOI: 10.1039/C7SM00243B

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