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A solvable aggregation-annihilation chain model with n species

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  • Zhang, Ligen
  • Yang, Z.R.

Abstract

The aggregation-annihilation processes involving n species are discussed by means of meanfield theory. We propose a sort of solvable chain-reaction models in which n kinds of species are numbered, the irreversible aggregations occur only between similar species and the annihilations occur only between dissimilar species having adjacent numbers. Under constant aggregation and annihilation reaction rates and certain symmetric condition, the exact solutions of the models are obtained, which show that the kinetic exponents describing evolution behaviors of reactants at long time depend on reaction rates and the numbers of species in the reaction processes.

Suggested Citation

  • Zhang, Ligen & Yang, Z.R., 1997. "A solvable aggregation-annihilation chain model with n species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 237(3), pages 441-448.
    • Handle: RePEc:eee:phsmap:v:237:y:1997:i:3:p:441-448
    DOI: 10.1016/S0378-4371(96)00430-X
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    References listed on IDEAS

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    1. Meakin, Paul, 1988. "Multiparticle diffusion-limited aggregation with strip geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 153(1), pages 1-19.
    2. Satake, Masao & Konno, Shigeyo, 1993. "経済雑誌の調査 = A Research on the Economic Periodicals in Japan," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 44(1/2), pages 313-336.
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