3 years ago

Density--nematic coupling in isotropic linear polymers.

Aleksandar Popadi\' C, Daniel Svenšek, Rudolf Podgornik, Matej Praprotnik

Polymers and other connected `line liquids' exhibit a coupling between density and equilibrium nematic order on the macroscopic level that gives rise to a Meyer-de Gennes {\em vectorial conservation law}. Nevertheless, in the isotropic phase they exhibit fluctuations of the density and of the nematic order that are not coupled by this vectorial constraint, just like for isotropic liquids composed of disconnected non-spherical particles. It takes the proper tensorial description of the nematic order in polymer melts/solutions, leading to a {\em tensorial conservation law} connecting density and orientational order, that finally implicates coupled density and nematic order fluctuations, already in the isotropic phase. This coupling implies that a spatial variation of density or a local concentration gradient will induce nematic order and thereby an acoustic or osmotic optical birefringence even in an otherwise isotropic polymer melt/solution. The methodology drawn sets forth a means of determining the parameters of continuum models by microscopic simulations to yield realistic continuum models of specific polymeric materials.

Publisher URL: http://arxiv.org/abs/1811.05252

DOI: arXiv:1811.05252v1

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