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  • PACS. 87.14.Gg DNA, RNA – 05.70.Jk Critical point phenomena – 05.70.Fh Phase transitions: general studies – 87.15.Aa Theory and modeling; computer simulation  (1)
  • double-stranded polymer  (1)
  • 1
    Electronic Resource
    Electronic Resource
    A simple model of DNA denaturation and mutually avoiding walks statistics (2002)
    Springer
    The European physical journal 29 (2002), S. 129-134 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 87.14.Gg DNA, RNA – 05.70.Jk Critical point phenomena – 05.70.Fh Phase transitions: general studies – 87.15.Aa Theory and modeling; computer simulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Recently Garel, Monthus and Orland [Europhys. Lett. 55, 132 (2001)] considered a model of DNA denaturation in which excluded volume effects within each strand are neglected, while mutual avoidance is included. Using an approximate scheme they found a first order denaturation. We show that a first order transition for this model follows from exact results for the statistics of two mutually avoiding random walks, whose reunion exponent is c 〉 2, both in two and three dimensions. Analytical estimates of c due to the interactions with other denaturated loops, as well as numerical calculations, indicate that the transition is even sharper than in models where excluded volume effects are fully incorporated. The probability distribution of distances between homologous base pairs decays as a power law at the transition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00270-2
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  • 2
    Electronic Resource
    Electronic Resource
    Entanglement complexity of lattice ribbons (1996)
    Springer
    Journal of statistical physics 85 (1996), S. 103-130 
    Details
    ISSN: 1572-9613
    Keywords: Ribbon ; topological entanglement ; knot ; link ; satellite knot ; writhe ; double-stranded polymer
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider a discrete ribbon model for double-stranded polymers where the ribbon is constrained to lie in a three-dimensional lattice. The ribbon can be open or closed, and closed ribbons can be orientable or nonorientable. We prove some results about the asymptotic behavior of the numbers of ribbons withn plaquettes, and a theorem about the frequency of occurrence of certain patterns in these ribbons. We use this to derive results about the frequency of knots in closed ribbons, the linking of the boundary curves of orientable closed ribbons, and the twist and writhe of ribbons. We show that the centerline and boundary of a closed ribbon are both almost surely knotted in the infinite-n limit. For an orientable ribbon, the expectation of the absolute value of the linking number of the two boundary curves increases at least as fast as √n, and similar results hold for the twist and writhe.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02175557
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