Scaling behavior in very small percolation lattices

J. B. Elliott, M. L. Gilkes, Joseph A. Hauger, A. S. Hirsch, E. Hjort, N. T. Porile, R. P. Scharenberg, B. K. Srivastava, M. L. Tincknell, P. G. Warren

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We examine the average cluster distribution as a function of lattice probability for a very small [Formula Presented] lattice and determine the scaling function of three-dimensional percolation. The behavior of the second moment, calculated from the average cluster distribution of [Formula Presented] and [Formula Presented] lattices, is compared to power-law behavior predicted by the scaling function. We also examine the finite-size scaling of the critical point and the size of the largest cluster at the critical point. This analysis leads to estimates of the critical exponent [Formula Presented] and the ratio of critical exponents [Formula Presented].

Original languageEnglish (US)
Pages (from-to)1319-1326
Number of pages8
JournalPhysical Review C - Nuclear Physics
Volume55
Issue number3
DOIs
StatePublished - Jan 1 1997
Externally publishedYes

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scaling
critical point
exponents
moments
estimates

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Elliott, J. B., Gilkes, M. L., Hauger, J. A., Hirsch, A. S., Hjort, E., Porile, N. T., ... Warren, P. G. (1997). Scaling behavior in very small percolation lattices. Physical Review C - Nuclear Physics, 55(3), 1319-1326. https://doi.org/10.1103/PhysRevC.55.1319

Scaling behavior in very small percolation lattices. / Elliott, J. B.; Gilkes, M. L.; Hauger, Joseph A.; Hirsch, A. S.; Hjort, E.; Porile, N. T.; Scharenberg, R. P.; Srivastava, B. K.; Tincknell, M. L.; Warren, P. G.

In: Physical Review C - Nuclear Physics, Vol. 55, No. 3, 01.01.1997, p. 1319-1326.

Research output: Contribution to journalArticle

Elliott, JB, Gilkes, ML, Hauger, JA, Hirsch, AS, Hjort, E, Porile, NT, Scharenberg, RP, Srivastava, BK, Tincknell, ML & Warren, PG 1997, 'Scaling behavior in very small percolation lattices', Physical Review C - Nuclear Physics, vol. 55, no. 3, pp. 1319-1326. https://doi.org/10.1103/PhysRevC.55.1319
Elliott JB, Gilkes ML, Hauger JA, Hirsch AS, Hjort E, Porile NT et al. Scaling behavior in very small percolation lattices. Physical Review C - Nuclear Physics. 1997 Jan 1;55(3):1319-1326. https://doi.org/10.1103/PhysRevC.55.1319
Elliott, J. B. ; Gilkes, M. L. ; Hauger, Joseph A. ; Hirsch, A. S. ; Hjort, E. ; Porile, N. T. ; Scharenberg, R. P. ; Srivastava, B. K. ; Tincknell, M. L. ; Warren, P. G. / Scaling behavior in very small percolation lattices. In: Physical Review C - Nuclear Physics. 1997 ; Vol. 55, No. 3. pp. 1319-1326.
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