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Speculations of crossover from mean-field to critical behavior for long-range site percolation

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Zeitschrift für Physik B Condensed Matter

Abstract

We argue that for percolation, in contrast to thermal phase transitions, long-range “forces” do not lead to classical (Bethe lattice) exponents at the phase transition.

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References

  1. Kadanoff, L.P., Götze, W., Hamblen, D., Hecht, R., Lewis, E.A.S., Palciauskas, V.V., Rayl, M., Swift, J., Aspnes, D., Kane, J.: Rev. Mod. Phys.39, 395 (1967)

    Google Scholar 

  2. Hoshen, J., Kopelman, R., Monberg, E.M.: J. Statist. Phys.19, 219 (1978)

    Google Scholar 

  3. Klein, W., Stanley, H.E., Redner, S., Reynolds, P.J.: J. Phys. A11, L17 (1978)

    Google Scholar 

  4. Stauffer, D.: Phys. Rep.54, 1 (1979)

    Google Scholar 

  5. Essam, J.W.: Rep. Prog. Phys., to be published

  6. Brout, R.: Phase Transitions. New York, Amsterdam: W.A. Benjamin, Inc. 1965

    Google Scholar 

  7. Shante, V.K.S., Kirkpatrick, S.: Adv. Phys.20, 325 (1971)

    Google Scholar 

  8. Stephen, M.J., Grest, G.S.: Phys. Rev. Lett.38, 567 (1977)

    Google Scholar 

  9. De Gennes, P.G.: J. Physique (Paris)36, 1049 (1975) and38, L 355 (1977)

    Google Scholar 

  10. Stauffer, D.: J. Chem. Soc. Faraday Trans. II72, 1354 (1976)

    Google Scholar 

  11. Daoud, M.: J. Physique (Paris)40, L201 (1979)

    Google Scholar 

  12. Domb, C., Stoll, E., Schneider, T.: Contemp. Phys., to be published

  13. Nakanishi, H.: Private communication, July 1979

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Stauffer, D., Coniglio, A. Speculations of crossover from mean-field to critical behavior for long-range site percolation. Z. Physik B - Condensed Matter 38, 267–270 (1980). https://doi.org/10.1007/BF01315666

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  • DOI: https://doi.org/10.1007/BF01315666

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