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

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 ${\delta }^{(1)}F=0$. Here we not only provide the first variation ${\delta }^{(1)}F$ but also give the second variation ${\delta }^{(2)}F$ 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.

9 pages, 1 figure,. Accepted by International Journal of Modern Physics B

References in corpus (2)

• Anisotropic Elastic Model for Short DNA Loops
• Phenomenological modeling of DNA overstretching