# Theory of directed polymers.

@article{Kamien1992TheoryOD, title={Theory of directed polymers.}, author={Kamien and P LeDoussal and Nelson}, journal={Physical review. A, Atomic, molecular, and optical physics}, year={1992}, volume={45 12}, pages={ 8727-8750 } }

We develop a theory of polymers in a nematic solvent by exploiting an analogy with two-dimensional quantum bosons at zero temperature. We argue that the theory should also describe nematic polymers in an isotropic solvent. The dense phase is analyzed in a Bogoliubov-like approximation, which assumes a broken symmetry in the phase of the boson order parameter. We find a stiffening of the longitudinal fluctuations of the nematic field, calculate the density-density correlation function, and…

## Tables and Topics from this paper

## 40 Citations

The Statistical Mechanics of Semiflexible Equilibrium Polymers

- Materials Science
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We give an overview of studies of models for semiflexible, equilibrium polymers with special emphasis on our work on both lattice and continuum models for such systems. We show, principally by Monte…

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The effective radii of the "tubes" confining the chains in the related description of orientational ordering are significantly larger than the distances between neighboring chains, providing evidence for a pronounced collective character oforientational fluctuations.

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A topical review of recent theoretical work on the properties of lyotropic solutions and melts containing semiflexible polymers in thermal equilibrium is given, with a focus on the liquid-crystalline…

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The mean field variational approach is employed to study the effect of a nematic field and an external constant force field on the elasticity of a semiflexible polymer. In the stationary phase, we…

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