Abstract DNA is a nucleic acid molecule with double-helical structures that are special symmetrical structures attracting great attention of numerous researchers. The super-long elastic slender rod, an important structural model of DNA and other long-train molecules, is a useful tool in analysing the symmetrical properties and the stabilities of DNA. This paper studies the structural properties of a super-long elastic slender rod as a structural model of DNA by using Kirchhoff's analogue technique and presents the Noether symmetries of the model by using the method of infinitesimal transformation. Based on Kirchhoff's analogue it analyses the generalized Hamilton canonical equations. The infinitesimal transformations with respect to the radial coordinate, the generalized coordinates, and the quasi-momenta of the model are introduced. The Noether symmetries and conserved quantities of the model are obtained.
Received: 18 September 2007
Revised: 25 December 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10672143 and
60575055), the State Key Laboratory of Scientific and Engineering
Computing, Chinese Academy of Sciences and the Natural Science
Foundation of Henan Province Government of China (Grant No
0511022200).
Cite this article:
Fu Jing-Li(傅景礼), Zhao Wei-Jia(赵维加), and Weng Yu-Quan(翁玉权) Structure properties and Noether symmetries for super-long elastic slender rod 2008 Chin. Phys. B 17 2361
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