title: Marginally compact hyperbranched polymer trees.
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 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 τpof mode p must scale as τp∼ (N/p)5/3rather than the usual square power law for linear chains.
authors.affiliation: Institute of Physics, University of Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany and Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: M
authors.initials: M
authors.lastname: Dolgushev
authors.affiliation: Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: J P
authors.identifier: http://orcid.org/0000-0002-3201-2554
authors.initials: JP
authors.lastname: Wittmer
authors.affiliation: Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: A
authors.initials: A
authors.lastname: Johner
authors.affiliation: Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: O
authors.initials: O
authors.lastname: Benzerara
authors.affiliation: Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: H
authors.initials: H
authors.lastname: Meyer
authors.affiliation: Institut Charles Sadron, Université de Strasbourg & CNRS, 23 rue du Loess, 67034 Strasbourg Cedex, France. joachim.wittmer@ics-cnrs.unistra.fr.
authors.forename: J
authors.initials: J
authors.lastname: Baschnagel