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  • Monte Carlo  (1)
  • 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)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 29 (2002), S. 129-134 
    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
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 82 (1996), S. 155-181 
    ISSN: 1572-9613
    Keywords: Self-avoiding walks ; lattice models ; Markov chains ; Monte Carlo ; phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We consider self-avoiding walks on the simple cubic lattice in which neighboring pairs of vertices of the walk (not connected by an edge) have an associated pair-wise additive energy. If the associated force is attractive, then the walk can collapse from a coil to a compact ball. We describe two Monte Carlo algorithms which we used to investigate this collapse process, and the properties of the walk as a function of the energy or temperature. We report results about the thermodynamic and configurational properties of the walks and estimate the location of the collapse transition.
    Type of Medium: Electronic Resource
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