IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v196y1993i4p481-504.html
   My bibliography  Save this article

A two dimensional reaction-limited selective dissolution model

Author

Listed:
  • Meakin, Paul
  • Jøssang, Torstein
  • Feder, Jens

Abstract

Simple square lattice and triangular lattice models have been used to investigate the selective dissolution of random binary mixtures. Simulations were carried out for a wide range of compositions and “reactivity ratios”. Depending on the reactivity ratio and composition the interfaces in this model may be self-affine, self-similar or in a crossover between these two limiting geometries. Particular attention was given to the rich scaling behavior found for large reactivity ratios and compositions near the percolation threshold for the more reactive component. Some of the exponents describing the surface structure can be related to known percolation exponents. In general, the scaling behavior depends on the structure of the underlying lattice. The non-universal lattice dependence is related to the non-universal fractal dimensionality of the external perimeter.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:4:p:481-504
    DOI: 10.1016/0378-4371(93)90031-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719390031X
    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/10.1016/0378-4371(93)90031-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. Fleischmann, Bernhard, 1985. "A cutting plane procedure for the travelling salesman problem on road networks," European Journal of Operational Research, Elsevier, vol. 21(3), pages 307-317, September.
    2. Kymn, Kern O. & Norsworthy, J. R. & Okamoto, Tatsuo, 1979. "Alternative computing formulas for the generalized inverse and the evaluation of their performances," Economics Letters, Elsevier, vol. 2(1), pages 37-43.
    3. Meakin, Paul, 1988. "Multiparticle diffusion-limited aggregation with strip geometry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 153(1), pages 1-19.
    4. Nakagawa, Kiyoshi, 1989. "Osamu Saito, Men in Merchant Houses and Men in Back Streets:Edo and Osaka. A Comparative Urban History," Economic Review, Hitotsubashi University, vol. 40(2), pages 188-190, April.
    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. Angel Corberán & Gustavo Mejía & José M. Sanchis, 2005. "New Results on the Mixed General Routing Problem," Operations Research, INFORMS, vol. 53(2), pages 363-376, April.
    3. Fischer, Vera & Pacheco Paneque, Meritxell & Legrain, Antoine & Bürgy, Reinhard, 2024. "A capacitated multi-vehicle covering tour problem on a road network and its application to waste collection," European Journal of Operational Research, Elsevier, vol. 315(1), pages 338-353.
    4. Bershadskii, A., 1997. "Critical multifractality near monofractal states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 1-8.
    5. Luc Muyldermans & Patrick Beullens & Dirk Cattrysse & Dirk Van Oudheusden, 2005. "Exploring Variants of 2-Opt and 3-Opt for the General Routing Problem," Operations Research, INFORMS, vol. 53(6), pages 982-995, December.
    6. 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.
    7. Meulendijks, P.J.F.G., 1984. "An exercise in welfare economics (I)," Research Memorandum FEW 166, Tilburg University, School of Economics and Management.
    8. Rajabighamchi, Farzaneh & van Hoesel, Stan & Defryn, Christof, 2023. "Graph reduction for the planar Travelling Salesman Problem," Research Memorandum 004, Maastricht University, Graduate School of Business and Economics (GSBE).
    9. Amir Ahmadi-Javid & Nasrin Ramshe, 2019. "Designing flexible loop-based material handling AGV paths with cell-adjacency priorities: an efficient cutting-plane algorithm," 4OR, Springer, vol. 17(4), pages 373-400, December.
    10. Letchford, Adam N. & Nasiri, Saeideh D. & Theis, Dirk Oliver, 2013. "Compact formulations of the Steiner Traveling Salesman Problem and related problems," European Journal of Operational Research, Elsevier, vol. 228(1), pages 83-92.
    11. Rodríguez-Pereira, Jessica & Fernández, Elena & Laporte, Gilbert & Benavent, Enrique & Martínez-Sykora, Antonio, 2019. "The Steiner Traveling Salesman Problem and its extensions," European Journal of Operational Research, Elsevier, vol. 278(2), pages 615-628.
    12. Letchford, Adam N., 1999. "The general routing polyhedron: A unifying framework," European Journal of Operational Research, Elsevier, vol. 112(1), pages 122-133, January.
    13. Vicsek, Tamás & Cserző, Miklós & Horváth, Viktor K., 1990. "Self-affine growth of bacterial colonies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 315-321.
    14. Meulendijks, P.J.F.G., 1988. "An exercise in welfare economics (III)," Research Memorandum FEW 341, Tilburg University, School of Economics and Management.
    15. Corberan, A. & Sanchis, J. M., 1998. "The general routing problem polyhedron: Facets from the RPP and GTSP polyhedra," European Journal of Operational Research, Elsevier, vol. 108(3), pages 538-550, August.
    16. Zhang, Huili & Tong, Weitian & Xu, Yinfeng & Lin, Guohui, 2015. "The Steiner Traveling Salesman Problem with online edge blockages," European Journal of Operational Research, Elsevier, vol. 243(1), pages 30-40.
    17. Bershadskii, A., 1997. "Branched critical multifractality and morphological phase transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 79-90.
    18. Valle, Cristiano Arbex & Beasley, John E. & da Cunha, Alexandre Salles, 2017. "Optimally solving the joint order batching and picker routing problem," European Journal of Operational Research, Elsevier, vol. 262(3), pages 817-834.
    19. 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.
    20. Briant, Olivier & Cambazard, Hadrien & Cattaruzza, Diego & Catusse, Nicolas & Ladier, Anne-Laure & Ogier, Maxime, 2020. "An efficient and general approach for the joint order batching and picker routing problem," European Journal of Operational Research, Elsevier, vol. 285(2), pages 497-512.

    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:196:y:1993:i:4:p:481-504. 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.