中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2361-2365.doi: 10.1088/1674-1056/17/7/007

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Structure properties and Noether symmetries for super-long elastic slender rod

赵维加1, 翁玉权1, 傅景礼2   

  1. (1)Department of Mathematics, Qingdao University, Qingdao 266071, China; (2)Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China
  • 收稿日期:2007-09-18 修回日期:2007-12-25 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    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).

Structure properties and Noether symmetries for super-long elastic slender rod

Fu Jing-Li(傅景礼)a)†, Zhao Wei-Jia(赵维加)b), and Weng Yu-Quan(翁玉权)b)   

  1. a Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China; b Department of Mathematics, Qingdao University, Qingdao 266071, China
  • Received:2007-09-18 Revised:2007-12-25 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    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).

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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. 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.

关键词: super-long elastic slender rod, Kirchhoff's analogue, Noether symmetry, conserved quantity

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.

Key words: super-long elastic slender rod, Kirchhoff's analogue, Noether symmetry, conserved quantity

中图分类号:  (Nucleic acids)

  • 87.14.G-
87.15.A- (Theory, modeling, and computer simulation) 87.15.B- (Structure of biomolecules) 87.15.H- (Dynamics of biomolecules) 87.15.La (Mechanical properties)