Skip to main content
SpringerLink
Log in

Self-avoiding walks on randomly diluted lattices

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We discuss how the introduction of quenched impurities changes the exponents of a self-avoiding walk on a lattice. We find that γ, the exponent for the number of walks, does not change. On the other hand the exponent ν for the mean square end to end distance does change. This is caused by a singular normalization atp=p c , which is necessary to compensate for the allowed number of walks on the diluted lattice.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Hiley, B.J., Finney, J.L., Burke, T.: J. Phys. A10, 197 (1977)

    Google Scholar 

  2. Chakrabarti, B.K., Kertész, J.: Z. Phys. B — Condensed Matter44, 221 (1981)

    Google Scholar 

  3. Kremer, K.: Z. Phys. B — Condensed Matter45, 149 (1981)

    Google Scholar 

  4. Derrida, B.: J. Phys. A — Atoms and Nuclei15, L119 (1982)

    Google Scholar 

  5. Roy, A.K., Chakrabarti, B.K.: Phys. Lett.91 A, 393 (1982)

    Google Scholar 

  6. Chakrabarti, B.K., Bhadra, K., Roy, A.K., Karmarkar, S.N.: Phys. Lett.93 A, 434 (1983)

    Google Scholar 

  7. Harris, A.B.: Z. Phys. B — Condensed Matter49, 347 (1983);

    Google Scholar 

  8. Kim, Y.: J. Phys. C16, 1345 (1983)

    Google Scholar 

  9. Rexakis, J., Argyrakis, P.: Phys. Rev. B28, 5323 (1983)

    Google Scholar 

  10. See e.g. Amit, D.J., Parisi, G., Peliti, L.: Phys. Rev. B27, 1635 (1983)

    Google Scholar 

  11. Derrida, B.: Les Houches Lectures, 1983

  12. de Gennes, P.G.: Scaling concepts in polymer physics. New York: Cornell University Press 1979

    Google Scholar 

  13. Noaimi, G.F.Al., Martinez-Mekler, G.C., Velasco, R.M.: preprint

  14. Martinez-Mekler, G.C., Moore, M.A.: J. Phys. (Paris) Lett.42, L413 (1981)

    Google Scholar 

  15. Stauffer, D.: Phys. Rep.54, 1 (1979)

    Google Scholar 

  16. Essam, J.W.: Rep. Prog. Phys.43, 832 (1980)

    Google Scholar 

  17. Kunz, H., Souillard, B.: J. Stat. Phys.19, 77 (1978)

    Google Scholar 

  18. Aharony, A., Gefen, Y., Mandelbrot, B., Kirkpatrick, S.: In: Abstracts of International Conference on disordered systems and localization, Rome (1981)

  19. After submitting this work we received a preprint from Ramal, R., Toulouse, G., Vannimenus, J.: (to be published, J. de Physique, March 1984) where they also study this problem. They predict through the use of a Flory type of argument a lower value for ν on the diluted lattice, in contradiction to our result

Download references

Author information

Authors and Affiliations

  1. Institut für Festkörperforschung der Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Germany

    J. W. Lyklema & K. Kremer

Authors
  1. J. W. Lyklema
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Kremer
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lyklema, J.W., Kremer, K. Self-avoiding walks on randomly diluted lattices. Z. Physik B - Condensed Matter 55, 41–44 (1984). https://doi.org/10.1007/BF01307499

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01307499

Keywords

Search

Navigation