The First and Second Variation of the Total Energy of Closed Duplex DNA in Planar Case

Xiaohua Zhou

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arXiv · 0811.2564

The First and Second Variation of the Total Energy of Closed Duplex DNA in Planar Case

Xiaohua Zhou

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Abstract

DNA's shape mostly lies on its total energy $F$. Its corresponding equilibrium shape equations can be got by classical variation method: letting the first energy variation $δ^{(1)}F=0$. Here we not only provide the first variation $δ^{(1)}F$ but also give the second variation $δ^{(2)}F$ in planar case. Moreover, the general shape equations of DNA are obtained and a mistake in [Zhang, \emph{et al}. {\it Phys. Rev. E} {\bf 70} 051902 (2004)] is pointed out.

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Xiaohua Zhou. 2009-05-21. The First and Second Variation of the Total Energy of Closed Duplex DNA in Planar Case. https://arxiv.org/abs/0811.2564

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