Anomalous Elasticity of Polymer Cholesterics

Details Anomalous Elasticity of Polymer Cholesterics Anomalous Elasticity of Polymer Cholesterics

1994-08-12

arxiv.org/abs/cond-mat/9408041v2

Phys. Rev. Lett. 74 (1995) 3181

Physics

Condensed Matter

12 pages, Plain TeX, (1 postscript figure, compressed, uuencoded and appended to paper), minor corrections, IASSNS-HEP-94/48

Scientific paper

10.1103/PhysRevLett.74.3181

We show that polymer cholesterics have much longer pitches than comparable short molecule cholesterics, due to their anomalous elasticity. The pitch $P$ of a chiral mixture with concentration $c$ near the racemic (non-chiral) concentration $c^*$ diverges like $\vert c-c^*\vert^{-\nu}$ with $\nu=1.43 \pm 0.04$ (for short molecule cholesterics $\nu=1$). The short molecule law is recovered for polymers of finite molecular length $\ell$ once the pitch is longer than a length that diverges like $\ell^\gamma$ with $\gamma=0.67 \pm 0.01$. Our predictions could be tested by measurements of the pitch in DNA.

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