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Research PapersNo Access

THE FIRST AND SECOND VARIATION OF THE TOTAL ENERGY OF CLOSED DUPLEX DNA IN PLANAR CASE

XIAO-HUA ZHOU

Department of Mathematics and Physics, The Fourth Military Medical University, Xi'an 710032, Shaanxi, China

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https://doi.org/10.1142/S0217979210054257Cited by:2 (Source: Crossref)

Abstract

DNA's shape mostly lies on its total energy F. Its corresponding equilibrium shape equations can be obtained 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 abstained and a mistake in Zhang et al., [Phys. Rev. E70, 051902 (2004)] is pointed out.

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Vol. 24, No. 05

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Received 25 September 2008

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