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

作　　者：傅景礼 赵维加 翁玉权 

机构地区：[1]Institute of Mathematical Physics,Zhejiang Sci-Tech University [2]Department of Mathematics,Qingdao University

出　　处：《Chinese Physics B》2008年第7期2361-2365,共5页中国物理B（英文版）

基　　金：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)

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. Baaed on Kirchhoff＇s analogue it analyses the generalized Hamilton canonical equations. The infinitesimal transfornaationa with rcspect to the radial coordinnte, the gonarnlizod coordinates, and the Cluasi-momenta of 5he model are introduced. The Noether gymmetries and conserved qugntities of the model are obtained.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. Baaed on Kirchhoff＇s analogue it analyses the generalized Hamilton canonical equations. The infinitesimal transfornaationa with rcspect to the radial coordinnte, the gonarnlizod coordinates, and the Cluasi-momenta of 5he model are introduced. The Noether gymmetries and conserved qugntities of the model are obtained.

关 键 词：super-long elastic slender rod Kirchhoff＇s analogue Noether symmetry conserved quantity 

分 类 号：Q523[生物学—生物化学]