Long Range Anticorrelations and Non-Gaussian Behavior of a Leaky Faucet
T. J. P. Penna, P. M. C. de Oliveira, J. C. Sartorelli, W. M. Gonçalves, R. D. Pinto
Abstract
We find that intervals between successive drops from a leaky faucet display scale-invariant, long-range anticorrelations characterized by the same exponents of heart beat-to-beat intervals of healthy subjects. This behavior is also confirmed by numerical simulations on lattice and it is faucet-width- and flow-rate-independent. The histogram for the drop intervals is also well described by a Lévy distribution with the same index for both histograms of healthy and diseased subjects. This additional result corroborates the evidence for similarities between leaky faucets and healthy hearts underlying dynamics.
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