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- W2057133111 abstract "The critical behaviour of the one-dimensional percolation problem is studied for a large, but finite, number of sites, N, in the light of finite-size scaling theory. The functions of interest, G(p), P(p), and S(p), are shown to be expressible asymptotically in a form consistent with scaling theory, in terms of a scaling parameter proportional to N/ξ, ξ being the correlation length. A plausible quasi-critical percolation probability for finite systems is proposed, and quasi-criticality is shown to occur at a unique value of the scaling parameter, in accord with a previously discussed law of corresponding states for finite systems. The rounding and shift exponents are found to be given by θ = λ = 1." @default.
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- W2057133111 date "1979-04-01" @default.
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- W2057133111 title "Finite-size effects in one-dimensional percolation: a verification of scaling theory" @default.
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- W2057133111 doi "https://doi.org/10.1139/p79-075" @default.
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