Skip to main content
Log in

The asymmetric contact process

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

Abstract

We study a generalization of the Harris one-dimensional contact process in which the rates of infection to the right and left may be different.

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. R. Durrett. On the growth of the one-dimensional contact process,Ann. Probab. 8:890–907 (1980).

    Google Scholar 

  2. R. Durrett. Oriented percolation in two dimensions,Ann. Probab. 12:999–1040 (1982).

    Google Scholar 

  3. R. Durrett and D. Griffeath. Supercritical contact process on ℤ,Ann. Probab. 11:1–15 (1983).

    Google Scholar 

  4. A. Galves and E. Presutti. Edge fluctuations for the one-dimensional supercritical contact process, Preprint IHES.

  5. D. Griffeath. Limit theorems for nonergodic set-valued Markov processes,Ann. Probab. 6:379–387 (1978).

    Google Scholar 

  6. D. Griffeath. Additive and cancelative interacting particle systems,Springer Lecture Notes in Mathematics, Vol. 724 (Springer-Verlag, New York, 1979).

    Google Scholar 

  7. D. Griffeath. The basic contact process,Stochastic Process. Appl. 11:151–186 (1981).

    Google Scholar 

  8. T. E. Harris. Contact interactions on a lattice,Ann. Probab. 2:969–988 (1974).

    Google Scholar 

  9. R. Holley and T. M. Liggett. The survival of contact processes,Ann. Probab. 6:198–206 (1978).

    Google Scholar 

  10. T. M. Liggett. Attractive nearest-neighbor spin system on the integers,Ann. Probab. 6:629–636 (1978).

    Google Scholar 

  11. T. M. Liggett.Interacting Particle Systems (Springer Verlag, New York, 1985).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schonmann, R.H. The asymmetric contact process. J Stat Phys 44, 505–534 (1986). https://doi.org/10.1007/BF01011308

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01011308

Key words

Navigation