Confined polymers in the extended de Gennes regime
arXiv:1404.6643 · doi:10.1103/PhysRevE.90.062602
Abstract
We show that the problem of describing the conformations of a semiflexible polymer confined to a channel can be mapped onto an exactly solvable model in the so-called extended de Gennes regime. This regime (where the polymer is neither weakly nor strongly confined) has recently been studied intensively experimentally and by means of computer simulations. The exact solution predicts precisely how the conformational fluctuations depend upon the channel width and upon the microscopic parameters characterising the physical properties of the polymer.
arXiv commentrevised version, 5 pages, 2 figures
References in corpus (6)
- Critical Exponents of the N-vector model
- Accurate estimate of the critical exponent for self-avoiding walks via a fast implementation of the pivot algorithm
- Scaling theory of DNA confined in nanochannels and nanoslits
- The shape of a flexible polymer in a cylindrical pore
- Orientational correlations in confined DNA
- Monomer distributions and intra-chain collisions of a polymer confined to a channel
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