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• W2891534449 abstract "In bulk percolation, we exhibit operators that insert $N$ clusters with any given symmetry under the symmetric group ${mathcal{S}}_{N}$. At the critical threshold, this leads to predictions that certain combinations of two-point correlation functions depend logarithmically on distance, without the usual power law. The behavior under rotations of certain amplitudes of correlators is also determined exactly. All these results hold in any dimension, $2ensuremath{le}densuremath{le}6$. Moreover, in $d=2$ the critical exponents and universal logarithmic prefactors are obtained exactly. We test these predictions against extensive simulations of critical bond percolation in $d=2$ and 3, for all correlators up to $N=4$ ($d=2$) and $N=3$ ($d=3$), finding excellent agreement. In $d=3$ we further obtain precise numerical estimates for critical exponents and logarithmic prefactors." @default.
• W2891534449 created "2018-09-27" @default.
• W2891534449 creator A5001072764 @default.
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• W2891534449 date "2019-05-21" @default.
• W2891534449 modified "2023-10-14" @default.
• W2891534449 title "Observation of nonscalar and logarithmic correlations in two- and three-dimensional percolation" @default.
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• W2891534449 doi "https://doi.org/10.1103/physreve.99.050103" @default.
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• W2891534449 hasPublicationYear "2019" @default.
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