| Lie Symmetries and Conserved Quantities for Super-Long Elastic Slender Rod |
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| 作者姓名： | 赵维加 翁玉权 傅景礼 |
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| 作者单位： | [1]Department of Mathematics, Qingdao University, Qingdao 266071 [2]Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018 [3]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant Nos 10672143 and 10472067, and the Natural Science Foundation of Henan Province under Grant No 0511022200. |
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| 摘 要： | 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. We study the Lie symmetries of a super-long elastic slender rod by using the methods of infinitesimal transformation. Based on Kirchhoff＇s analogue, generalized Hamilton canonical equations are analysed. The infinitesimal transformations with respect to the radian coordinate, the generalized coordinate, and the quasimomentum of the model are introduced. The Lie symmetries and conserved quantities of the model are presented.
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| 关 键 词： | DNA 分子组成 稳定性 对称性 |
| 收稿时间： | 2007-5-25 |
| 修稿时间： | 2007-05-25 |
Lie Symmetries and Conserved Quantities for Super-Long Elastic Slender Rod |
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| ZHAO Wei-Jia,WENG Yu-Quan,FU Jing-Li.Lie Symmetries and Conserved Quantities for Super-Long Elastic Slender Rod[J].Chinese Physics Letters,2007,24(10):2773-2776. |
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| Authors: | ZHAO Wei-Jia WENG Yu-Quan FU Jing-Li |
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| Institution: | 1. Department of Mathematics, Qingdao University, Qingdao 266071; 2. Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018; 3.Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 |
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| 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. We study the Lie symmetries of a super-long elastic slender rod by using the methods of infinitesimal transformation. Based on Kirchhoff's analogue, generalized Hamilton canonical equations areanalysed. The infinitesimal transformations with respect to the radiancoordinate, the generalized coordinate, and the quasi-momentum of the model are introduced. The Lie symmetries and conserved quantities of the model are presented. |
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| Keywords: | 11 30 -j 87 15 -v 87 14 Gg |
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