Abstract A one-dimensional cellular automaton is defined without the critical gradient rule ($\Delta h>\Delta h_c$) which is essential to the existence of avalanches in self-organized criticality (SOC) models. Instead, only the local diffusion rule is used, however, the characteristics of SOC, such as the bursty behaviour, power-law decay in fluctuation spectra, self-similarity over a broad range of scales and long-time correlations, are still observed in these numerical experiments. This numerical model is established to suggest that the bursty events and the incremental diffusion observed universally in fusion experiments do not necessarily imply the submarginal dynamics.
Received: 17 July 2002
Revised: 14 October 2002
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10175069) and by the Chinese Academy of Sciences (Grant No 01062025).
Cite this article:
Xu Guo-Sheng (徐国盛), Wan Bao-Nian (万宝年), Song Mei (宋梅) Bursty events and incremental diffusion in a local diffusion and multi-scale convection system 2003 Chinese Physics 12 189
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