物理学报2012，Vol.61Issue(6)：397-403,7.
全局耦合网络上的两种类集团的聚集-湮没反应动力学
Kinetics of two-species aggregation-annihilation processes on globally coupled networks
摘要
Abstract
Kinetics of diffusion-limited aggregation-annihilation process on globally coupled networks is investigated by the Monte Carlo simulation.In the system,when two clusters of the same species meet at the same node,they will aggregate and form a larger one; while if two clusters of different species meet at the same node,they will annihilate each other.The simulation results show that,（i） if the two species have equal initial concentrations,the concentration of clusters c（t） and the concentration of particles g（t） follow power laws at large time,c（t）～t~（-α） and g（t）～t~（-β）,with the exponentsαandβsatisfying a = 2/3 and a = 2/（2 ＋ q）;meanwhile, the cluster size distribution can take the scaling form a_κ（t） = k~（-τ）t~（ω）Φ（κ/t~z）,where r≈-1.27q,ω≈（3 ＋ 1.27q）/（2 ＋ q） and z =α/2 = 1/（2 ＋ q）;（ii） if the two species have different initial concentrations,the cluster concentration of the heavy species ca（t） follows the power law at large time,c_A（t）～t~（-α）,whereα= 1/（1 ＋ q）,and the cluster size distribution of the heavy species can obey the scaling law at large time,a_κ（t） = k~（-τ）t~（-ω）Φ（k/t~z）,with the scaling exponentsτ≈-1.27q,ω≈（2 ＋ 1.27q）/（1 ＋ q） and z =α= 1/（1 ＋ q）.The simulation results accord well with the reported theoretic analyses.关键词
全局耦合网络/聚集-湮没/Monte-Carlo模拟/标度律Key words
globally coupled network/aggregation-annihilation/Monte Carlo simulation/scaling law分类
化学化工引用本文复制引用
朱标,李萍萍,柯见洪,林振权..全局耦合网络上的两种类集团的聚集-湮没反应动力学[J].物理学报,2012,61(6):397-403,7.基金项目
国家自然科学基金（批准号：1175131 10775104 10875086 10305009）资助的课题 （）
