Elasticity of semiflexible polymers in two dimensions

by: Ashok Prasad, Yuko Hori, Jané Kondev

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), Vol. 72, No. 4. (2005)

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Abstract

We study theoretically the entropic elasticity of a semiflexible 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 semiflexible polymer and a nematic field, and derive the nematic order parameter and average extension of the polymer in a strong field.

@article{citeulike:1485832, abstract = {We study theoretically the entropic elasticity of a semiflexible 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 semiflexible polymer and a nematic field, and derive the nematic order parameter and average extension of the polymer in a strong field.}, author = {Prasad, Ashok and Hori, Yuko and Kondev, Jan\'e }, citeulike-article-id = {1485832}, doi = {10.1103/PhysRevE.72.041918}, journal = {Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)}, keywords = {dna, elasticity, wlc}, number = {4}, posted-at = {2007-07-25 14:25:48}, priority = {2}, publisher = {APS}, title = {Elasticity of semiflexible polymers in two dimensions}, url = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal\&id=PLEEE8000072000004041918000001\&idtype=cvips\&gifs=yes}, volume = {72}, year = {2005} }

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TY - JOUR ID - citeulike:1485832 L3 - citeulike-article-id:1485832 TI - Elasticity of semiflexible polymers in two dimensions JF - Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) VL - 72 IS - 4 PB - APS N2 - We study theoretically the entropic elasticity of a semiflexible 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 semiflexible polymer and a nematic field, and derive the nematic order parameter and average extension of the polymer in a strong field. KW - dna KW - elasticity KW - wlc AU - Prasad, Ashok AU - Hori, Yuko AU - Kondev, Jan\'e PY - 2005/// UR - http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PLEEE8000072000004041918000001&idtype=cvips&gifs=yes ER -

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