Exact enumeration of self-avoiding walks on BCC and FCC lattices Article Swipe

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Enumeration Simple cubic lattice Cubic crystal system Lattice (music) Lattice constant Condensed matter physics Combinatorics Physics Mathematics Amplitude Statistical physics Quantum mechanics Statistics Acoustics Monte Carlo method Diffraction

Raoul D. Schram , G. T. Barkema , Rob H. Bisseling , Nathan Clisby ·

YOU? · · 2017 · Open Access · · DOI: https://doi.org/10.1088/1742-5468/aa819f · OA: W2747211378

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).