arXiv subjects
Publications and source records attributed to Shu-dong Zhang.
The temporal fluctuation of the average slope of a ricepile model is investigated. It is found that the power spectrum $S(f)$ scales as $1/f^α$ with $α\approx 1.3$ when grains of rice are added only to one end of the pile. If grains are randomly added to the pile, the power spectrum exhibits $1/f^2$ behaviour. The profile fluctuations of the pile under different driving mechanisms are also discussed.
We study the scaling behaviors of a time-dependent fiber-bundle model with local load sharing. Upon approaching the complete failure of the bundle, the breaking rate of fibers diverges according to $r(t)\propto (T_f-t)^{-ξ}$, where $T_f$ is the lifetime of the bundle, and $ξ\approx 1.0$ is a quite universal scaling exponent. The average lifetime of the bundle $ $ scales with the system size as $N^{-δ}$, where $δ$ depends on the distribution of individual fiber as well as the breakdown rule.