Skip to main content
Log in

Computer investigations of the three-dimensional Ising model

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

Abstract

We have been studying the three-dimensional Ising model using some finite-size scaling ideas. The simulation is done by a fast microcanonical method. Here we present our results for the critical exponentsν andα.

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. L. Onsager,Phys. Rev. 65:117 (1944); T. D. Schultz, D. C. Mattis, and E. H. Lieb,Rev. Mod. Phys. 36:856 (1964).

    Google Scholar 

  2. B. Widom,J. Chem. Phys. 73:3962 (1965); L. P. Kadanoff,Physics 2:263 (1966); M. P. Nightingale,Physica 83A:561 (1976).

    Google Scholar 

  3. D. P. Landau,Phys. Rev. B 14:255 (1976); K. Binder,Z. Phys. B 43:119 (1981); K. K. Kashiet al, Phys. Rev. B 29:3996 (1984); B. A. Freedman and G. A. Baker, Jr.,J. Phys. A 15:L715 (1982); G. S. Pawley, R. H. Swendsen, D. J. Wallace, and K. G. Wilson,Phys. Rev. B 29:4030 (1984); M. N. Barber, R. B. Pearson, D. Toussaint, and J. L. Richardson, Santa Barbara preprint (1985); S. Wansleben and J. G. Zabolitzky, Monte Carlo simulation of Ising model by multi-spin coding on a vector computer, University of Köln report (November 1983).

    Google Scholar 

  4. M. Creutz,Phys. Rev. Lett. 50:1411 (1983); M. Creutz, in Gauge theory on a lattice, 1984, Argonne report Conf-8404119, C. Zachos, W. Celmaster, E. Kovacs, and D. Sivers, eds.

    Google Scholar 

  5. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. H. Teller, and E. Teller,J. Chem. Phys. 21:1087 (1953).

    Google Scholar 

  6. M. Creutz,Phys. Rev. D 23:1815 (1981).

    Google Scholar 

  7. M. B. Fisher and M. N. Barber,Phys. Rev. Lett. 28:1516 (1972); M. E. Fisher, inCritical Phenomena, Proc. 51st Enrico Fermi Summer School, Varenna, Italy, M. S. Green, ed. (Academic Press, New York, 1971); M. N. Barber, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983); P. Nightingale,J. Appl. Phys. 53:7927 (1982).

    Google Scholar 

  8. R. Brower, M. Creutz, and M. Nauenberg,Nucl. Phys. B 210[FS6]:133 (1972).

    Google Scholar 

  9. K. Binder, M. Nauenberg, V. Privman, and A. P. Young,Phys. Rev. D 31:1498 (1985).

    Google Scholar 

  10. M. Creutz, P. Mitra, and K. J. M. Moriarty,Comput. Phys. Commun. 33:361 (1984).

    Google Scholar 

  11. V. Privman and M. E. Fisher,J. Phys. A 16:L295 (1983).

    Google Scholar 

  12. J. Adler,J. Phys. A 16:3585 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Creutz, M., Mitra, P. & Moriarty, K.J.M. Computer investigations of the three-dimensional Ising model. J Stat Phys 42, 823–832 (1986). https://doi.org/10.1007/BF01010447

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01010447

Key words

Navigation