Exact enumeration of self-avoiding walks on BCC and FCC lattices
Publication date
2017-08-24
Authors
Schram, Raoul
Barkema, G. T.
Bisseling, R.H.
Clisby, Nathan
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Document Type
Article
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Abstract
Self-avoiding walks on the body-centered-cubic (BCC) and face-centered-cubic (FCC) lattices are enumerated up to lengths 28 and 24, respectively, using the length-doubling method. Analysis of the enumeration results yields values for the exponents γ and ν which are in agreement with, but less accurate than, those obtained earlier from enumeration results on the simple cubic lattice. The non-universal growth constant and amplitudes are accurately determined, yielding for the BCC lattice μ = 6.530 520(20), A = 1.1785(40), and D = 1.0864(50), and for the FCC lattice μ = 10.037 075(20), A = 1.1736(24), and D = 1.0460(50).
Keywords
critical exponents and amplitudes, exact results, loop models and polymers, series expansions, Taverne, Statistical and Nonlinear Physics, Statistics and Probability, Statistics, Probability and Uncertainty
Citation
Schram, R D, Barkema, G T, Bisseling, R H & Clisby, N 2017, 'Exact enumeration of self-avoiding walks on BCC and FCC lattices', Journal of Statistical Mechanics: Theory and Experiment, vol. 2017, no. 8, 083208. https://doi.org/10.1088/1742-5468/aa819f