%A Shen Wei-Wei, Li Ping-Ping, Ke Jian-Hong
%T Kinetics of diffusion-limited aggregation-annihilation processes on small-world networks
%0 Journal Article
%D 2010
%J Acta Physica Sinica
%R 10.7498/aps.59.6681
%P 6681
%V 59
%N 9
%U {http://wulixb.iphy.ac.cn/CN/abstract/article_17470.shtml}
%8 2010-09-15
%X Kinetics of diffusion-limitied aggregation-annihilation processes on NW small-world networks is investigated by Monte Carlo simulation. In the system, if two clusters of the same species meet at the same node, they will aggregate and form a large one; while if two clusters of different species meet at the same node, they will annihilate each other. Simulation results show that, if the value of* p* (a parameter that quantifies the number of shortcuts) is large or small enough, the concentration of clusters *c(t)* and the concentration of particles *g(t)* follow power laws at large times, i.e.*c(t)∝t*^{-α} and *g(t)∝t*^{－β}. Moreover, the relation between the exponents *α* and *β* is found to satisfy *α=2β.* However, if *p* is of medium value, the concentration of clusters and the concentration of particles do not follow the power laws exactly. Our simulation results agree with the reported theoretical analysis very well.