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• W2012981625 abstract "Avalanche dynamics is defined as coupled internal motion at two separate time scales. The state parameter $S(t)$ measures the amount of tension or potential energy stored in the system. Fluctuations of ${S(t)=F}_{d}^{ensuremath{uparrow}}ensuremath{-}{F}_{a}^{ensuremath{downarrow}}$ are caused by the action ${F}_{d}$ on $S$ of the driving force, giving rise to slow, continuous motion, and the antagonistic action ${F}_{a}$ of a relaxation force causing rapid, discrete events (avalanches). The arrows indicate the directions of the forces (increase or decrease). A state parameter may be chosen such that both forces act as repellers in state space. Self-organized criticality (SOC) emerges when ${F}_{a}$ is an internal force that exists if, and only if, ${F}_{d}$ is present. When this contingency condition is fulfilled, the two antagonistic forces trap the system trajectory inside a SOC attractor, which is a state-space region of overlapping basins for the two types of motion. The conclusions are based primarily on the case of river meandering dynamics, described in the paper." @default.
• W2012981625 created "2016-06-24" @default.
• W2012981625 creator A5047552736 @default.
• W2012981625 date "1997-12-01" @default.
• W2012981625 modified "2023-09-23" @default.
• W2012981625 title "Fluctuations at the self-organized critical state" @default.
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• W2012981625 doi "https://doi.org/10.1103/physreve.56.6710" @default.
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