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Published online by Cambridge University Press: 21 February 2013
Emission variability from Black Hole objects like Seyfert Galaxies, Quasars etc. shows a irregular variation with various amplitude and time scale. Further analysis of the emission shows the appearance of the lognormal distribution. Such distribution cannot be explained by conventional Self Organized Criticality (SOC) Model. In this paper a modified SOC model with cellular automaton mechanism combined with advection process is introduced. Simulation shows that lognormal distribution can be resulted, while the other characteristics of PSD and structure function of the original SOC model can be maintained. Incorporation of the advection process is the key factor for the appearance of lognormal distribution.