Solvable Aggregation-Migration-Annihilation Processes of a Multispecies System

作者: Ke Jian-Hong , Lin Zhen-Quan , Chen Xiao-Shuang

DOI: 10.1088/0253-6102/46/1/034

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摘要: An aggregation-migration-annihilation model is proposed for a two-species-group system. In the system, aggregation reactions occur between any two aggregates of same species and migration different in group joint annihilation from groups. The kinetics system then investigated framework mean-field theory. It found that scaling solutions aggregate size distributions depend crucially on ratios equivalent rates groups to rates. Each always scales according conventional or modified form; moreover, governing exponents are nonuniversal dependent reaction details most cases.

参考文章(26)
Z Cheng, S Redner, Kinetics of fragmentation Journal of Physics A. ,vol. 23, pp. 1233- 1258 ,(1990) , 10.1088/0305-4470/23/7/028
Ke Jian-Hong, Lin Zhen-Quan, Wang Xiang-Hong, Kinetic behaviour of two-species-group aggregation process with complete annihilation Chinese Physics. ,vol. 12, pp. 443- 451 ,(2003) , 10.1088/1009-1963/12/4/318
Matteo Marsili, Yi-Cheng Zhang, Interacting Individuals Leading to Zipf's Law Physical Review Letters. ,vol. 80, pp. 2741- 2744 ,(1998) , 10.1103/PHYSREVLETT.80.2741
Tamás Vicsek, Fereydoon Family, Dynamic Scaling for Aggregation of Clusters Physical Review Letters. ,vol. 52, pp. 1669- 1672 ,(1984) , 10.1103/PHYSREVLETT.52.1669
Ligen Zhang, Z.R. Yang, A solvable aggregation-annihilation chain model with n species Physica A-statistical Mechanics and Its Applications. ,vol. 237, pp. 441- 448 ,(1997) , 10.1016/S0378-4371(96)00430-X
F Leyvraz, H R Tschudi, Critical kinetics near gelation Journal of Physics A. ,vol. 15, pp. 1951- 1964 ,(1982) , 10.1088/0305-4470/15/6/033
Lin Zhen-Quan, Ke Jian-Hong, Wang Xiang-Hong, Kinetic Behaviour of the Aggregation-Annihilation Process of Two-Species-Group System* Communications in Theoretical Physics. ,vol. 39, pp. 635- 640 ,(2003) , 10.1088/0253-6102/39/5/635
Ligen Zhang, Z. R. Yang, SOLVABLE AGGREGATION-ANNIHILATION PROCESSES WITH GREATER THAN TWO COMPONENTS Physical Review E. ,vol. 55, pp. 1442- 1447 ,(1997) , 10.1103/PHYSREVE.55.1442
K. Kang, S. Redner, Scaling Approach for the Kinetics of Recombination Processes Physical Review Letters. ,vol. 52, pp. 955- 958 ,(1984) , 10.1103/PHYSREVLETT.52.955
P.L. Krapivsky, Nonuniversality and breakdown of scaling in two-species aggregation with annihilation Physica A: Statistical Mechanics and its Applications. ,vol. 198, pp. 135- 149 ,(1993) , 10.1016/0378-4371(93)90187-9