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  • 1
    Electronic Resource
    Electronic Resource
    Monte carlo study of the interacting self-avoiding walk model in three dimensions (1996)
    Springer
    Journal of statistical physics 82 (1996), S. 155-181 
    Details
    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
    URL: http://dx.doi.org/10.1007/BF02189229
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  • 2
    Electronic Resource
    Electronic Resource
    A Monte Carlo algorithm for lattice ribbons (1996)
    Springer
    Journal of statistical physics 82 (1996), S. 1159-1198 
    Details
    ISSN: 1572-9613
    Keywords: Ribbon ; lattice models ; Monte Carlo algorithm ; knotting and linking ; entanglements
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A lattice ribbon is a connected sequence of plaquettes subject to certain selfavoidance conditions. The ribbon can be closed to form an object which is topologically either a cylinder or a Möbius band, depending on whether its surface is orientable or nonorientable. We describe a grand canonical Monte Carlo algorithm for generating a sample of these ribbons, prove that the associated Markov chain is ergodic, and present and discuss numerical results about the dimensions and entanglement complexity of the ribbons.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02179807
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  • 3
    Electronic Resource
    Electronic Resource
    Twist in an exactly solvable directed lattice ribbon (1995)
    Springer
    Journal of statistical physics 80 (1995), S. 781-791 
    Details
    ISSN: 1572-9613
    Keywords: Ribbon ; lattice models ; twist in DNA
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We investigate the transition between a twisted regime and a disordered regime in a directed ribbon model on a cubic lattice. A fugacity corresponding to an interaction which models half-twists in the ribbon is introduced and the interacting model is solved exactly. Our results suggest that conformational entropy and a local interaction which induces twist are key ingredients to model qualitatively the crossover behavior between a twisted (helical) regime and a denatured regime in duplex biopolymers such as DNA.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02178554
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