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Condensed Matter > Statistical Mechanics
Title: $1/\varphi$ Spectrum of the Stress Dynamics with the Bak-Tang-Wiesenfeld Sandpile
(Submitted on 30 Dec 2022 (v1), last revised 23 Mar 2024 (this version, v3))
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.
Submission history
From: Alexander Shapoval [view email][v1] Fri, 30 Dec 2022 14:10:31 GMT (2106kb,D)
[v2] Tue, 31 Jan 2023 10:51:53 GMT (1615kb,D)
[v3] Sat, 23 Mar 2024 15:12:25 GMT (2098kb,D)
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