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Investigation of Scale Exponents of Complete and Incomplete Aggregation-Annihilation Processes |
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| Authors: | HUANG Bi-Hua LIU Cui-Mei YANG Zhan-Ru |
| Affiliation: | Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China;College of Physics and Technology Engineering, Fuzhou University, Fuzhou 350001, China Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China;Department of Physics, Shangqiu Normal College, Shangqiu 476000, China Department of Physics and Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China |
| Abstract: | 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 aggregation-annihilation process are different from the previous exponents obtained by different methods. The time dependence of the total number of clusters and the total mass of clusters are analytically obtained. |
| Keywords: | complete aggregation-annihilation process incomplete aggregation-annihilation process scale exponents |
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