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Volumn 105, Issue 3, 1996, Pages 1270-1286

DNA in a liquid-crystalline environment: Tight bends, rings, supercoils

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EID: 0000406670     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.471966     Document Type: Article
Times cited : (46)

References (99)
  • 46
    • 0004254996 scopus 로고
    • edited by A. Ciferri, W. R. Krigbaum, and R. B. Meyer Academic, New York
    • P. G. de Gennes, in Polymer Liquid Crystals, edited by A. Ciferri, W. R. Krigbaum, and R. B. Meyer (Academic, New York, 1982).
    • (1982) Polymer Liquid Crystals
    • De Gennes, P.G.1
  • 59
    • 85033846466 scopus 로고    scopus 로고
    • note
    • n uniformly valid down to θ=0 is a Bessel function (Ref. 57). The integration can now be performed exactly and, as it turns out, G is now also given by Eq. (2.10) (I thank A. Duyndam for pointing this out to me). The asymptotic analysis [Eqs. (2.6)-(2,9)] illustrates the line of argumentation useful in the general case.
  • 72
    • 0005515015 scopus 로고
    • edited by R. Balian and G. Weill Gordon and Breach, London
    • S. F. Edwards, in Molecular Fluids, edited by R. Balian and G. Weill (Gordon and Breach, London, 1976).
    • (1976) Molecular Fluids
    • Edwards, S.F.1
  • 78
    • 85033871022 scopus 로고    scopus 로고
    • note
    • The polymer chain also wanders transversely a bit but the associated entropy is entirely negligible in the asymptotic limit α≫ 1.
  • 84
    • 11744311356 scopus 로고
    • J. F. Marko and E. D. Siggia, Phys. Rev. E 52, 2912 (1995). In an interesting harmonic analysis, Marko and Siggia also conclude that the energy of tight bending is essentially independent of undulations. Since a naive expansion is not uniformly valid [see, e.g., Eqs. (3.11), (3.12), and (3.15)], I have attempted a Langer WKB approximation. This justifies a harmonic analysis and yields a second order entropy [Eqs. (2.15) and (3.37)] not contained in the harmonic approximation and signifying substantial thermal softening of the bend.
    • (1995) Phys. Rev. E , vol.52 , pp. 2912
    • Marko, J.F.1    Siggia, E.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.