B MacDonald et al 1985 J. Phys. A: Math. Gen. 18 2627 doi:10.1088/0305-4470/18/13/037
B MacDonald, N Jan, D L Hunter and M O Steinitz
Show affiliationsA new Monte Carlo method is proposed which allows for the efficient generation of equilibrium conformations of polymer chains in two and three dimensions. The method treats each site (monomer) as a potential pivot around which a new conformation may be generated by rotating a portion of the chain. The method does not suffer from the severe attrition associated with the simple sampling of self-avoiding walks and may be extended to treat the interacting polymer chain. The authors find in two dimensions that nu =0.748+or-0.005 (exact=0.750) and in three dimensions nu =0.595+or-0.005 (series expansion and renormalisation group predict nu approximately 0.588). The end-end distances calculated for shorter chains are in good agreement with the exact values from enumeration techniques.
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
Issue 13 (11 September 1985)
B MacDonald et al 1985 J. Phys. A: Math. Gen. 18 2627
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