Skip to main content
Log in

Critical behavior of the specific heat for pure and site-diluted simple cubic Ising systems

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

Abstract

The exponentα of the specific heatC is determined for the pure and the site-diluted simple cubic Ising model (concentrationx=0, 0.2, 0.4 of nonmagnetic sites) by a finite-size scaling analysis of the peak value Cmax(L) for systems of linear dimensionsL=8, 16, 32, and 64. The Cmax values are obtained by the Ferrenberg-Swendsen algorithm, using Monte Carlo data from a fully-vectorized multi-spin coding program. We obtain α=0.11 for x=0 and a crossover to a negativeα value upon dilution, with α=−0.029(4) both forx=0.2 andx=0.4.

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. J. T. Chayes, L. Chayes, D. S. Fischer, and T. Spencer,Phys. Rev. Lett. 57:2999 (1986).

    Google Scholar 

  2. I. O. Mayer,J. Phys. A 22:2815 (1989).

    Google Scholar 

  3. G. Jug,Phys. Rev. B 27:609 (1983).

    Google Scholar 

  4. K. E. Newman and E. K. Riedel,Phys. Rev. B 25:264 (1982).

    Google Scholar 

  5. T. Holey and M. Fähnle,Phys. Rev. B 41:11709 (1990); M. Fähnle, T. Holey, U. Staaden, and P. Braun,Festkörperprobleme: Advances in Solid State Physics, Vol. 30, U. Rösler, ed. (Vieweg, Braunschweig, 1990), p. 425.

    Google Scholar 

  6. R. J. Birgenau, R. A. Cowley, G. Shirane, H. Yoshizawa, D. P. Belanger, A. R. King, and V. Jaccarino,Phys. Rev. B 27:6747 (1983).

    Google Scholar 

  7. H.-O. Heuer,Europhys. Lett. 12:551 (1990).

    Google Scholar 

  8. A. M. Ferrenberg and R. H. Swendsen,Phys. Rev. Lett. 61:2635 (1988).

    Google Scholar 

  9. M. E. Fisher, inProceedings International Summer School “Enrico Fermi,”Varenna, Italy, 1970, M. S. Green, ed. (Academic, New York, 1971), pp. 1ff.

    Google Scholar 

  10. A. J. Liu and M. E. Fisher,Physica A 156:35 (1989).

    Google Scholar 

  11. M. F. Sykes, J. L. Martin, and D. L. Hunter,Proc. Phys. Soc. 91:671 (1967).

    Google Scholar 

  12. A. M. Ferrenberg and R. H. Swendsen,Phys. Rev. Lett. 63:1195 (1989).

    Google Scholar 

  13. P. Braun, U. Staaden, T. Holey, and M. Fähnle,Int. J. Mod. Phys. B 3:1343 (1989).

    Google Scholar 

  14. D. P. Landau,Phys. Rev. B 22:2450 (1980).

    Google Scholar 

  15. J.-S. Wang, M. W.:ohlert, H. Mühlenbein, and D. Chowdhury,Physica A 166:173 (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weyersberg, A., Holey, T. & Fähnle, M. Critical behavior of the specific heat for pure and site-diluted simple cubic Ising systems. J Stat Phys 66, 133–138 (1992). https://doi.org/10.1007/BF01060063

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060063

Key words

Navigation