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arXiv · 2212.14726

$1/\varphi$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile

Alexander Shapoval·Mikhail Shnirman
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Abstract

With the original Bak-Tang-Wisenefeld (BTW) sandpile we uncover the $1/\varphi$ noise in the mechanism maintaining self-organized criticality (SOC) - the question raised together with the concept of SOC. We posit that the dynamics of stress in the BTW sandpile follows quasi-cycles of graduate stress accumulation that end up with an abrupt stress-release and the drop of the system to subcritical state. In thermodynamic limit, the intra-cycle dynamics exhibits the $1/\varphi$ spectrum that extends infinitely and corresponds to the stress-release within the critical state.

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Alexander Shapoval, Mikhail Shnirman. 2022-12-30. $1/\varphi$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile. https://doi.org/10.1103/physreve.110.014106

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