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Statistical mechanics of bent twisted ribbons

Statistical Mechanics 2013-10-22 v2 Soft Condensed Matter

Abstract

We present an analytical study of bent twisted ribbons. We first describe the elastic response of a ribbon within a purely mechanical framework. We then study the role of thermal fluctuations in modifying its elastic response. We predict the moment angle relation of bent and twisted ribbons. Such a study is expected to shed light on the role of twist in the "J factor" for DNA looping and on bending elasticity of twisted graphene ribbons.

Keywords

Cite

@article{arxiv.1304.3569,
  title  = {Statistical mechanics of bent twisted ribbons},
  author = {Supurna Sinha and Joseph Samuel},
  journal= {arXiv preprint arXiv:1304.3569},
  year   = {2013}
}

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5 pages