Elasticity of semiflexible polymers in two dimensions

Details Elasticity of semiflexible polymers in two dimensions Elasticity of semiflexible polymers in two dimensions

2005-04-26

arxiv.org/abs/cond-mat/0504654v2

Phys. Rev. E 72, 041918 (2005)

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 3 figures

Scientific paper

10.1103/PhysRevE.72.041918

We study theoretically the entropic elasticity of a semi-flexible polymer, such as DNA, confined to two dimensions. Using the worm-like-chain model we obtain an exact analytical expression for the partition function of the polymer pulled at one end with a constant force. The force-extension relation for the polymer is computed in the long chain limit in terms of Mathieu characteristic functions. We also present applications to the interaction between a semi-flexible polymer and a nematic field, and derive the nematic order parameter and average extension of the polymer in a strong field.

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