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  • Tensorial conservation law for nematic polymers
    Svenšek, Daniel ; Grason, G. M. ; Podgornik, Rudolf
    We derive the conservation law for nematic polymers in tensorial form valid for quadrupolar orientational order, in contradistinction to the conservation law in the case of polar orientational order. ... Due to microscopic differences in the coupling between the orientational field deformations and the density variations for polar and quadrupolar order, we find that the respective order parameters satisfy fundamentally distinct constraints. Being necessarily scalar in its form, the tensorial conservation law is obtained straightforwardly from the gradients of the polymer nematic tensor field and connects the spatial variation of this tensor field with density variations. We analyze the differences between the polar and the tensorial forms of the conservation law, present some explicit orientational fields that satisfy the tensorial constraint, and discuss the role of singular hairpins, which do not affect the local quadrupolar order of polymer nematics, but nevertheless influence its gradients.
    Source: Physical review. E, Statistical, nonlinear, and soft matter physics. - ISSN 1539-3755 (Vol. 88, iss. 5, 2013, str. 052603-1-052603-7)
    Type of material - article, component part
    Publish date - 2013
    Language - english
    COBISS.SI-ID - 2615908

    Link(s):

    http://pre.aps.org/abstract/PRE/v88/i5/e052603

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