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- W2091234638 abstract "The entropy of self-avoiding walks embedded in a square lattice has been Monte Carlo estimated inside plane squares of various side sizes R. The length of the walks ranged from one to steps, the maximum allowed length, which corresponds to the so-called Hamiltonian paths. It was found that if is the ratio of the occupied over the total number of available lattice sites inside the square, the number of configurations scales to a good approximation as . The limiting curve has then been estimated from the available data, and expressed as a fourth-degree polynomial in . A table is given for Z(1), that is Hamiltonian paths, comparing values obtained from the theoretical relationship given by Orland et al, from the exact enumeration data of Mayer et al, and from the Monte Carlo estimates of the present work." @default.
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- W2091234638 date "1997-04-07" @default.
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- W2091234638 title "Statistics of confined chains. III: Hamiltonian paths" @default.
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- W2091234638 doi "https://doi.org/10.1088/0305-4470/30/7/015" @default.
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