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- W2056572813 abstract "A new Monte Carlo method, the incomplete-enumeration method, is used to calculate both the square radii of gyration 〈${R}_{N}^{2}$〉 and the number of animals ${a}_{N}$ of size N up to N=30 in the case d=3 and N=20 in the cases d=4--7. We obtain about 2% accuracy for ${a}_{N}$ and 0.2% accuracy for 〈${R}_{N}^{2}$〉 for the largest sizes N. For d=9 longer runs yield values of ${a}_{N}$ and 〈${R}_{N}^{2}$〉 to better than 0.25% and 0.04% accuracy, respectively. Our data are consistent with upper critical dimension ${d}_{c}$=8 and with the Flory formula for all d${d}_{c}$." @default.
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- W2056572813 date "1986-09-01" @default.
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- W2056572813 title "Monte Carlo study of lattice animals in<i>d</i>dimensions" @default.
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- W2056572813 doi "https://doi.org/10.1103/physreva.34.2339" @default.
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