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A Monte Carlo algorithm for lattice ribbons (1996)

Orlandini, E. ; Janse van Rensburg, E. J. ; Whittington, S. G.

Springer

Journal of statistical physics 82 (1996), S. 1159-1198

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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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