Theory of directed polymers.

  title={Theory of directed polymers.},
  author={Kamien and P LeDoussal and Nelson},
  journal={Physical review. A, Atomic, molecular, and optical physics},
  volume={45 12},
  • Kamien, Le Doussal P, Nelson
  • Published 14 April 1992
  • Physics, Medicine
  • Physical review. A, Atomic, molecular, and optical physics
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… 
The Statistical Mechanics of Semiflexible Equilibrium Polymers
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
Directed polymer melts and quantum critical phenomena
The statistical mechanics of directed linelike objects, such as directed polymers in an external field, strands of dipoles in both ferro- and electrorheological fluids, and flux lines in high-Tc
Confined nematic polymers: order and packing in a nematic drop.
This work solves the Euler-Lagrange equations numerically with the appropriate boundary conditions for the director and density field and investigates the orientation and density profile within a sphere of nematic polymers inside a confining hard sphere.
Fluctuation spectra in polymer nematics and Frank elastic constants: a coarse-grained modelling study.
It is demonstrated that the analytical theories capture several features of the spectra obtained in the current simulations of uniaxial nematic polymer melts, where moderate backfolding of polymer chains is observed.
Material Line Fluctuations Slaved to Bulk Correlations in Two-Dimensional Turbulence
An analogy is pointed out between a polymer chain fluctuating in a two-dimensional nematic background and a freely floating material line buffeted by a two-dimensional turbulent fluid in the inertial
Nematic order in solutions of semiflexible polymers: Hairpins, elastic constants, and the nematic-smectic transition.
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.
Understanding the properties of liquid-crystalline polymers by computational modeling
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
Stretching a semiflexible polymer with orientation-dependent interactions
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
Line liquid crystals
Peculiarities of liquid systems constructed from line objects (like polymers, or worm-like micelles) are investigated. Namely the static structure function for nematic polymers are calculated. The
Elastic Constants of Chromonic Liquid Crystals
Chromonics are a class of liquid crystals made of aqueous solutions of plank-like molecules, which self-assemble into semiflexible chains. At a given temperature a nematic phase is formed when the


Functional integrals and collective excitations
Part I. Functional Integrals and Diagram Techniques in Statistical Physics: Part II. Superfluid Bose Systems: Part III. Plasma and Superfluid Fermi Systems: Part IV. Crystals, Heavy Atoms, Model
PROF. H. A. WILSON is best known for his experimental researches, but this book shows that he is also able to give clear expositions of the more theoretical aspects of modern physics. As he has
Liquid Crystals
The subject is not easily understood, and most of the experiments upon which it is founded cannot be performed without special apparatus, so it has so far received scanty attention in this country, and its extreme importance is perhaps not fully realised.
Quantum many-particle systems
Abstract A review of Quantum Many-Particle Systems. By John W. Negele and Henri Orland. (Addison Wesley, 1988.) [Pp. xviii +459] £38·65 hbk. ISBN 0 201 12593 5. Scope: Textbook. Level: Postgraduate.
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