IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v222y1995i1p105-118.html
   My bibliography  Save this article

Boltzmann cellular automata studies of the spinodal decomposition

Author

Listed:
  • Rybka, Renata B.
  • Cieplak, Marek
  • Salin, Dominique

Abstract

A nonlinear, Galilean invariant 2-color Boltzmann cellular automaton is used to study spinodal decomposition in 2-dimensional systems. The initial conditions for the process correspond to a well mixed state of two fluids, present in equal proportions. We specify two types of such initial conditions—corresponding to a correlated quench and to a deep quench. In the former case, a specific color is assigned randomly to each site. In the latter, individual states on each site are populated by the two colors about evenly, with small fluctuations. In the correlated quench situation, the domain growth exponent is initially equal to 0.33 ± 0.06 and for the late time stage it is equal to 0.66 ± 0.06. In the deep quench situation, on the other hand, the effective exponent from initial value of 0.33 takes on the value of 0.82 ± 0.05 for intermediate time scales and only at later times it crosses over to the exponent corresponding to the correlated quench. Spinodal decomposition taking place in a porous medium is slower and the effective exponents are nonuniversal. Inadequacies in the existing models of the surface tension in cellular automata are pointed out.

Suggested Citation

  • Rybka, Renata B. & Cieplak, Marek & Salin, Dominique, 1995. "Boltzmann cellular automata studies of the spinodal decomposition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 105-118.
    • Handle: RePEc:eee:phsmap:v:222:y:1995:i:1:p:105-118
    DOI: 10.1016/0378-4371(95)00209-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/037843719500209X
    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(95)00209-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. Cieplak, Marek & Banavar, Jayanth R., 1993. "Scaling and phase transitions in random systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 63-71.
    2. Tsevat, J. & Durand-Zaleski, I. & Pauker, S.G., 1989. "Cost-effectiveness of antibiotic prophylaxis for dental procedures in patients with artificial joints," American Journal of Public Health, American Public Health Association, vol. 79(6), pages 739-743.
    3. Alain Rivet, 1987. "Le nouveau régime d'imposition des bénéfices: les entreprises en difficultés," Post-Print hal-00960438, HAL.
    4. Glotzer, D.E. & Bauchner, H. & Freedberg, K.A. & Palfrey, S., 1994. "Screening for childhood lead poisoning: A cost-minimization analysis," American Journal of Public Health, American Public Health Association, vol. 84(1), pages 110-112.
    5. Coonoor Kripalani, 1993. "The 1992 Debate on Democracy in Hong Kong: Issues and Prospects," China Report, , vol. 29(2), pages 165-176, May.
    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. Das, Shankar P., 1996. "Spectra of spatial fluctuations in lattice gas cellular automata fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(1), pages 180-187.
    2. Lowe, C.P & Frenkel, D, 1995. "The super long-time decay of velocity fluctuations in a two-dimensional fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 251-260.
    3. Ashleigh R Tuite & Ann N Burchell & David N Fisman, 2014. "Cost-Effectiveness of Enhanced Syphilis Screening among HIV-Positive Men Who Have Sex with Men: A Microsimulation Model," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-12, July.
    4. McNamara, Guy & Alder, Berni, 1993. "Analysis of the lattice Boltzmann treatment of hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 218-228.

    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:222:y:1995:i:1:p:105-118. 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.