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  • 1
    Electronic Resource
    Electronic Resource
    Phase diagram of magnetic polymers (1999)
    Springer
    The European physical journal 12 (1999), S. 261-268 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 36.20.Ey Conformation (statistics and dynamics) - 64.70.-p Specific phase transitions - 75.50.-y Studies of specific magnetic materials
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We consider polymers made of magnetic monomers (Ising or Heisenberg-like) in a good solvent. These polymers are modeled as self-avoiding walks on a cubic lattice, and the ferromagnetic interaction between the spins carried by the monomers is short-ranged in space. At low temperature, these polymers undergo a magnetic induced first order collapse transition, that we study at the mean field level. Contrasting with an ordinary point, there is a strong jump in the polymer density, as well as in its magnetization. In the presence of a magnetic field, the collapse temperature increases, while the discontinuities decrease. Beyond a multicritical point, the transition becomes second order and -like. Monte Carlo simulations for the Ising case are in qualitative agreement with these results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510051003
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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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