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Critical exponents for the self-avoiding random walk in three dimensions

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Abstract

We compute by direct Monte Carlo simulation the main critical exponentsα, γ,Δ 4, andv and the effective coordination numberμ for the self-avoiding random walk in three dimensions on a cubic lattice. We find both hyperscaling relationsdv=2−α anddv− 2Δ 4+γ=0 satisfied ind = 3.

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de Forcrand, P., Koukiou, F. & Petritis, D. Critical exponents for the self-avoiding random walk in three dimensions. J Stat Phys 49, 223–234 (1987). https://doi.org/10.1007/BF01009959

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  • DOI: https://doi.org/10.1007/BF01009959

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