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International Journal of Theoretical Physics

, Volume 51, Issue 5, pp 1529–1537 | Cite as

One-dimensional Kinetic Ising Model with Nonuniform Coupling Constants

  • Mohammad Khorrami
  • Amir Aghamohammadi
Article
  • 63 Downloads

Abstract

A nonuniform extension of the Glauber model on a one-dimensional lattice with boundaries is investigated. The static behavior of the system is investigated. It is shown that there are cases where the system exhibits a static phase transition, which is a change of behavior of the static profile of the expectation values of the spins near end points.

Keywords

Reaction-diffusion Phase transition Glauber model 

Notes

Acknowledgement

This work was supported by the research council of the Alzahra University.

References

  1. 1.
    Glauber, R.J.: J. Math. Phys. 4, 294 (1963) MathSciNetADSCrossRefMATHGoogle Scholar
  2. 2.
    Kawasaki, K.: Phys. Rev. 145, 224 (1966) MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    Amar, J.G., Family, F.: Phys. Rev. A 41, 3258 (1990) ADSCrossRefGoogle Scholar
  4. 4.
    Vojta, T.: Phys. Rev. E 55, 5157 (1997) ADSCrossRefGoogle Scholar
  5. 5.
    Stinchcombe, R.B., Santos, J.E., Grynberg, M.D.: J. Phys. A 31, 541 (1998) MathSciNetADSCrossRefMATHGoogle Scholar
  6. 6.
    Godrèche, C., Luck, J.M.: J. Phys. A 33, 1151 (2000) MathSciNetADSCrossRefMATHGoogle Scholar
  7. 7.
    Droz, M., Rácz, Z., Schmidt, J.: Phys. Rev. A 39, 2141 (1989) ADSCrossRefGoogle Scholar
  8. 8.
    Grandi, B.C.S., Figueiredo, W.: Phys. Rev. E 53, 5484 (1996) ADSCrossRefGoogle Scholar
  9. 9.
    Artz, S., Trimper, S.: Int. J. Mod. Phys. B 12, 2385 (1998) ADSCrossRefMATHGoogle Scholar
  10. 10.
    Schmittmann, B., Schmüser, F.: Phys. Rev. E 66, 046130 (2002) ADSCrossRefGoogle Scholar
  11. 11.
    Schmittmann, B., Schmüser, F.: J. Phys. A 35, 2569 (2002) MathSciNetADSCrossRefMATHGoogle Scholar
  12. 12.
    Mobilia, M., Zia, R.K.P., Schmittmann, B.: J. Phys. A 37, L407 (2004) MathSciNetADSCrossRefMATHGoogle Scholar
  13. 13.
    Lippiello, E., Zannetti, M.: Phys. Rev. E 61, 3369 (2000) ADSCrossRefGoogle Scholar
  14. 14.
    Chatelain, C.: J. Phys. A 36, 10739 (2003) MathSciNetADSCrossRefMATHGoogle Scholar
  15. 15.
    Henkel, M., Schütz, G.: J. Phys. A 37, 591 (2004) MathSciNetADSCrossRefMATHGoogle Scholar
  16. 16.
    Droz, M., Kamphorst Leal da Silva, J., Malaspinas, A., Stella, A.L.: J. Phys. A 20, L387 (1987) ADSCrossRefGoogle Scholar
  17. 17.
    Khorrami, M., Aghamohammadi, A.: Phys. Rev. E 63, 042102 (2001) ADSCrossRefGoogle Scholar
  18. 18.
    Henkel, M., Schütz, G.: Physica A 206, 187 (1994) ADSCrossRefGoogle Scholar
  19. 19.
    Richardson, M.J.E., Kafri, Y.: Phys. Rev. E 59, R4725 (1999) ADSCrossRefGoogle Scholar
  20. 20.
    Aghamohammadi, A., Khorrami, M.: J. Phys. A 34, 7431 (2001) MathSciNetADSCrossRefMATHGoogle Scholar
  21. 21.
    Shariati, A., Aghamohammadi, A., Khorrami, M.: Phys. Rev. E 64, 066102 (2001) ADSCrossRefGoogle Scholar
  22. 22.
    Droz, M., Kamphorst Leal Da Silva, J., Malaspinas, A.: Phys. Lett. A 115, 448 (1986) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsAlzahra UniversityTehranIran

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