Skip to main content
SpringerLink
Log in

A special purpose computer for the electrical conductivity of disordered media

  • Statistical Physics
  • Conference paper
  • First Online:
Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 240))

  • 246 Accesses

Abstract

We describe the architecture of a special purpose computer designed to calculate with high precision the critical exponents characterizing the threshold behavior of electrical conductivity in random mixtures of conductors-insulators, or superconductors-conductors. The algorithm that is used, which determines the architecture, is that of the strip method. Computations are being done in 64 bit floating point arithmetic, at a rate of 8 MFLOPS.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Weingarten, “Algorithms for Monte-Carlo calculations with fermions”, IBM Yorktown Technical Report, 1984.

    Google Scholar 

  2. E. Brooks, G. Fox, F. Otto, M. Randeria, W. Athas, E. de Benedictis, M. Newton and C. Seitz, Nucl. Phys. B 220 (1983) 383, and Phys. Rev. Lett. 52 (1984) 2324.

    Article  ADS  Google Scholar 

  3. S. Alexander and R. Orbach, J. Physique Lettres 43 (1982) 8.

    Google Scholar 

  4. B. Derrida and J. Vannimenus, J. Phys. A 15 (1982) L 557.

    MathSciNet  ADS  Google Scholar 

  5. B. Derrida, J.G. Zabolitzky, J. Vannimenus and D. Stauffer, J. of Stat. Phys. 36 (1984) 31.

    Article  MATH  ADS  Google Scholar 

  6. H.J. Herrmann, B. Derrida and J. Vannimenus, Phys. Rev. B 30 (1984) 4080.

    Article  ADS  Google Scholar 

  7. P.F. Kunz, M. Gravina, G. Oxoby, P. Rankin, Q. Trang, P.M. Ferran, A. Fucci, R. Hinton, D. Jacobs, B. Martin, H. Masuch and K.M. Storr, CERN preprint DD/84/4 and SLAC-PUB-3332 (1984).

    Google Scholar 

  8. B. Derrida, J.G. Zabolitzky, J. Vannimenus and D. Stauffer, J. of Stat. Phys. 36 (1984) 31.

    Article  MATH  ADS  Google Scholar 

  9. G. Marsaglia, “Random Number Generation” in Encyclopedia of Computer Science, and “A current View of Random Number Generation”, in Computer, Science and Statistics: 16th Symposium of the Interface.

    Google Scholar 

  10. J. Kertész, J. Phys. A 16 (1983) L 471.

    Google Scholar 

  11. M. Nakanishi, P. Reynolds and S. Redner, J. Phys. A: Math. Gen. 14 (1981) 855.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre d'Etudes Nucléaires de Saclay, 91191, Gif-sur-Yvette Cedex

    F. Hayot, H. J. Herrmann, H. M. Normand, P. Farthouat & M. Mur

Authors
  1. F. Hayot
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. J. Herrmann
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. M. Normand
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. P. Farthouat
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. Mur
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Raymond Alcouffe Robert Dautray Arthur Forster Guy Ledanois B. Mercier

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Hayot, F., Herrmann, H.J., Normand, H.M., Farthouat, P., Mur, M. (1985). A special purpose computer for the electrical conductivity of disordered media. In: Alcouffe, R., Dautray, R., Forster, A., Ledanois, G., Mercier, B. (eds) Monte-Carlo Methods and Applications in Neutronics, Photonics and Statistical Physics. Lecture Notes in Physics, vol 240. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0049046

Download citation

  • DOI: https://doi.org/10.1007/BFb0049046

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16070-0

  • Online ISBN: 978-3-540-39750-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation