IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v237y1997i3p441-448.html
   My bibliography  Save this article

A solvable aggregation-annihilation chain model with n species

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843719600430X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(96)00430-X?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sang Bub Lee, & Amar, J.G. & Family, F., 1997. "Thin film growth of incompatible materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 337-354.
    2. Bershadskii, A., 1997. "Critical multifractality near monofractal states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 1-8.
    3. Bershadskii, A., 1997. "Branched critical multifractality and morphological phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 79-90.
    4. Mašić, Nikola & Djordjević, Zorica V., 1990. "Multifractal nature of the first passage time for biased diffusion on percolation clusters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 560-564.
    5. Meakin, Paul, 1989. "Reaction and adsorption on multifractal substrates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(1), pages 21-36.
    6. Meakin, Paul & Jøssang, Torstein & Feder, Jens, 1993. "A two dimensional reaction-limited selective dissolution model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(4), pages 481-504.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:237:y:1997:i:3:p:441-448. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.