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An Effective Dimension from Finite Size Scaling

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Computer Simulation Studies in Condensed-Matter Physics IV

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 72))

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Abstract

Methods to obtain finite-size scaling estimates for an effective dimension and critical exponents both for numerical transfer matrix data and Monte Carlo data are presented. Results for the d=2 and d=3 Ising model are compared with critical exponents from d = 4 — ο and d = 1 + ∈ expansions.

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References

  1. Finite Size Scaling and Numerical Simulation of Statistical Systems, editor V. Privman, (World Scientific, Singapore, 1990).

    Google Scholar 

  2. K. G. Wilson and M. E. Fisher, Phys. Rev. Lett. 28, 240 (1972).

    Article  ADS  Google Scholar 

  3. J. C. Le Guillou and J. Zinn-Justin, J. Physique 48, 19 (1987).

    Article  Google Scholar 

  4. D. Wallace and R. K. P. Zia, Phys. Rev. Lett. 43, 808 (1979).

    Article  ADS  Google Scholar 

  5. D. Forster and A. Gabriunas, Phys. Rev. A 23, 2627 (1981).

    Article  ADS  Google Scholar 

  6. D. Forster and A. Gabriunas, Phys. Rev. A 24, 598 (1981).

    Article  ADS  Google Scholar 

  7. V. Privman, in Ref. 1.

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  8. M. P. Nightingale,in Ref. 1.

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  9. M. A. Novotny, Phys. Rev. Lett., submitted.

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  10. This section of the paper was appended to the revised manuscript due to progress made during the workshop. The scaling result with deff for Monte Carlo data was derived during the workshop, and the Monte Carlo data for the d=3 Ising model was generously provided by A. M. Ferrenberg and D. P. Landau during the workshop.

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  11. D. P. Landau, in Ref. 1.

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  12. A. M. Ferrenberg and D. P. Landau, Phys. Rev. B, submitted.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL, 32306-4052, USA

    M. A. Novotny

Authors
  1. M. A. Novotny
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Editor information

Editors and Affiliations

  1. Center for Simulation Physics, The University of Georgia, Athens, GA, 30602, USA

    David P. Landau Ph. D , K. K. Mon Ph. D  & Heinz-Bernd Schüttler Ph. D ,  & 

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© 1993 Springer-Verlag Berlin Heidelberg

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Novotny, M.A. (1993). An Effective Dimension from Finite Size Scaling. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics IV. Springer Proceedings in Physics, vol 72. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84878-0_20

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  • DOI: https://doi.org/10.1007/978-3-642-84878-0_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84880-3

  • Online ISBN: 978-3-642-84878-0

  • eBook Packages: Springer Book Archive

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