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- W4233232982 abstract "We have calculated improved upper and lower bounds for the capacitance of an isolated cube. These come to C * ≡ C /4 πε 0 l =0.6619 and 0.6596, respectively, where C is the capacitance and l is the length of the side. The lower bound is sufficiently accurate to rule out a recent theoretical conjecture. We show that the traditional methods of computing the actual capacitance contain systematic errors, and we use the Kelvin inversion, followed by a random walk method with variance reduction, to provide the estimate 0.6606±0.0001, which is consistent with the bounds just given. We give an alternative method for the square plate, with a preliminary result C * ≡ C /4 πε 0 l =0.36±0.01." @default.
- W4233232982 created "2022-05-12" @default.
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- W4233232982 date "2004-05-01" @default.
- W4233232982 modified "2023-09-26" @default.
- W4233232982 title "The capacitance of the cube and square plate by random walk methods" @default.
- W4233232982 doi "https://doi.org/10.1016/s0304-3886(04)00104-4" @default.
- W4233232982 hasPublicationYear "2004" @default.
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