Skip to main content
Log in

Impurity dynamics in a one-dimensional chain

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

Abstract

The behavior of an impurity spin in a one-dimensional chain is investigated using the Glauber model. Two different types of impurities are considered and exact expressions for the average spin of the impurity, given that the impurity was initially excited out of equilibrium, are found. The behavior of these models is discussed in detail and their relevance to other physical situations is considered.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. J. Glauber as quoted by H. E. Stanley (personal communication).

  2. R. J. Glauber,J. Math. Phys. 4:294 (1963).

    Google Scholar 

  3. D. Dhar and M. Barma,J. Stat. Phys. 22:259 (1977).

    Google Scholar 

  4. T. Schneider and E. Stoll,Phys. Rev. B 16:2220 (1977).

    Google Scholar 

  5. N. S. Gael,Biopolymers 6:55 (1968).

    Google Scholar 

  6. T. L. Hill,Proc. Nat. Acad. Sci. 74:3632 (1977).

    Google Scholar 

  7. M. Gitterman and V. Steinberg,J. Chem. Phys. 69:2763 (1978).

    Google Scholar 

  8. M. Suzuki and R. Kubo,J. Phys. Soc. Jpn 24:51 (1968).

    Google Scholar 

  9. B. U. Felderhof,Rep. Math. Phys. 1:215 (1971).

    Google Scholar 

  10. K. Kawasaki inPhase Transitions and Critical Phenomena, Chap. 11, C. Domb and M. S. Green, eds. (Academic Press, New York, 1972).

    Google Scholar 

  11. For example, see E. N. Economou,Green's Functions in Quantum Physics, (Springer Verlag, Berlin, 1979).

    Google Scholar 

  12. H. Stehfest,Comm. A.C.M. 13, 47, 624 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported in part by the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Calef, D.F. Impurity dynamics in a one-dimensional chain. J Stat Phys 32, 81–94 (1983). https://doi.org/10.1007/BF01009421

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01009421

Key words

Navigation