IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v227y1996i3p213-233.html
   My bibliography  Save this article

Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices

Author

Listed:
  • Elezović-Hadžić, Sunčica
  • Knežević, Milan

Abstract

We study the critical behavior of surface-interacting self-avoiding random walks on a class of truncated simplex lattices, which can be labeled by an integer n ⩾ 3. Using the exact renormalization group method we have been able to obtain the exact values of various critical exponents for all values of n up to n = 6. We also derived simple formulas which describe the asymptotic behavior of these exponents in the limit of large n (n → ∞). In spite of the fact that the coordination number of the lattice tends to infinity in this limit, we found that most of the studied critical exponents approach certain finite values, which differ from corresponding values for simple random walks (without self-avoiding walk constraint).

Suggested Citation

  • Elezović-Hadžić, Sunčica & Knežević, Milan, 1996. "Critical exponents of surface-interacting self-avoiding walks on a family of truncated n-simplex lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 213-233.
  • Handle: RePEc:eee:phsmap:v:227:y:1996:i:3:p:213-233
    DOI: 10.1016/0378-4371(96)00018-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437196000180
    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(96)00018-0?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. Binder, Arnold & Binder, Virginia L., 1982. "Juvenile diversion and the constitution," Journal of Criminal Justice, Elsevier, vol. 10(1), pages 1-24.
    2. Joanny, J.-F. & De Gennes, P.G., 1987. "Bursting of a soap film in a viscous environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 238-255.
    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. Kumar, Sanjay & Singh, Yashwant, 1996. "On the critical behaviour of a surface interacting linear polymer chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 229(1), pages 61-71.
    2. Aharonson, Vered & Andelman, David & Zilman, Anton & Pincus, Philip A. & Raphaël, Elie, 1994. "Polymer adsorption at liquid/air interfaces under lateral pressure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 1-16.
    3. Yukalov, V.I., 1987. "Procedure of quasi-averaging for heterophase mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 352-374.
    4. Ruiz-Garcia, Jaime & Gámez-Corrales, Rogelio & Ivlev, Boris I., 1997. "Foam and cluster structure formation by latex particles at the air/water interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 236(1), pages 97-104.
    5. Foster, Damien P. & Yeomans, Julia, 1991. "Competition between self-attraction and adsorption in directed self-avoiding polymers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 443-452.
    6. Chowdhury, Debashish & Stauffer, Dietrich, 1992. "Bursting of soap films," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(1), pages 237-249.
    7. Möhwald, H. & Kenn, R.M. & Degenhardt, D. & Kjaer, K. & Als-Nielsen, J., 1990. "Partial order in phospholipid monolayers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 168(1), pages 127-139.
    8. Heermann, Dieter W. & Yixue, Li & Binder, Kurt, 1996. "Scaling solutions and finite-size effects in the Lifshitz-Slyozov theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(1), pages 132-148.
    9. Onuki, Akira, 1995. "Interface instability induced by an electric field in fluids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(1), pages 38-52.
    10. Borjan, Zoran & Knežević, Milan & Milošević, Sava, 1994. "Critical adsorption of random walks on fractal lattices with uniform coordination number," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 211(2), pages 155-164.
    11. Huse, David A. & Szpilka, Anthony M. & Fisher, Michael E., 1983. "Melting and wetting transitions in the three-state chiral clock model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 363-398.
    12. Kawaguchi, Masami & Makino, Kyoko & Kato, Tadaya, 1997. "Viscous fingering patterns of silica suspensions in polymer solutions: effects of viscoelasticity and gravity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(3), pages 385-398.

    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:227:y:1996:i:3:p:213-233. 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.