Skip to main content
Log in

Survival probabilities for random walks on lattices with randomly distributed traps

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

I present here a numerical procedure to compute survival probabilities for random walks on lattices with randomly distributed traps. The procedure has some advantages over existing methods, and its performance is evaluated for the 1D simple random walk, for which some exact results are known. Thereafter, I apply the procedure to 1D random walks with variable step length and to 3D simple random walks.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. H. Weiss and R. J. Rubin,Adv. Chem. Phys. 52:363–505 (1982).

    Google Scholar 

  2. J. W. Haus and K. W. Kehr,Phys. Rep. 150:263–406 (1987).

    Google Scholar 

  3. H. B. Rosenstock,Phys. Rev. 187:1166–1170 (1969).

    Google Scholar 

  4. G. H. Weiss,Proc. Natl. Acad. Sci. USA 77:4391–4392 (1980).

    Google Scholar 

  5. G. Zumofen and A. Blumen,J. Chem. Phys. 76:3713–3731 (1982).

    Google Scholar 

  6. W. Th. F. den Hollander,J. Stat. Phys. 37:331–367 (1984).

    Google Scholar 

  7. M. D. Donsker and S. R. S. Varadhan,Commun. Pure Appl. Math. 28:525–565 (1975).

    Google Scholar 

  8. J. K. Anlauf,Phys. Rev. Lett. 52:1845–1848 (1984).

    Google Scholar 

  9. Th. M. Nieuwenhuizen,Phys. Rev. Lett. 62:357–360 (1989).

    Google Scholar 

  10. S. Havlin, G. H. Weiss, J. E., Kiefer, and M. Dishon,J. Phys. A 17:L347-L350 (1984); S. Havlin, M. Dishon, J. E. Kiefer, and G. H. Weiss,Phys. Rev. Lett. 53:407–410 (1984).

    Google Scholar 

  11. E. W. Montroll and G. H. Weiss,J. Math. Phys. 6:167–181 (1965).

    Google Scholar 

  12. R. C. Tausworthe,Math. Comp. 19:201–209 (1965).

    Google Scholar 

  13. S. W. Golomb,Shift Register Sequences, rev. ed. (Aegean Park Press, Laguna Hills, California, 1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Milotti, E. Survival probabilities for random walks on lattices with randomly distributed traps. J Stat Phys 68, 883–893 (1992). https://doi.org/10.1007/BF01048878

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01048878

Key words

Navigation