Supported in part by the National Natural Science Foundation of China under Grant Nos.10635020 and 10775057;by the Ministry of Education of China under Grant Nos.306022,IRT0624;by the Programme of Introducing Talents of Discipline to Universities under Grant No.B08033
The origin of power-law distributions in self-organized criticality is investigated by treating the variation of the number of active sites in the system as a stochastic process. An avalanche is mapped to a first-retu...
The complete and incomplete aggregation-annihilation processes are investigated with the method of generating function, and the scale exponents are obtained exactly. We find that the scale exponents of incomplete aggr...