Poisson Bracket Formulation of Nematic Polymer Dynamics

Details Poisson Bracket Formulation of Nematic Polymer Dynamics Poisson Bracket Formulation of Nematic Polymer Dynamics

1999-06-22

arxiv.org/abs/cond-mat/9906339v2

Phys. Rev. E 61 (2000) 2888

Physics

Condensed Matter

Soft Condensed Matter

Harvmac, 17 pages, 1 postscript figure

Scientific paper

10.1103/PhysRevE.61.2888

We formulate the dynamical theory of nematic polymers, starting from a microscopic Poisson bracket approach. We find that the Poisson bracket between the nematic director and momentum depends on the (Maier-Saupe) order parameter of the nematic phase. We use this to derive reactive couplings of the nematic director to the strain rates. Additionally, we find that local dynamics breaks down as the polymers begin to overlap. We offer a physical picture for both results.

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