### 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 language | English (US) |
---|---|

Pages (from-to) | 1319-1326 |

Number of pages | 8 |

Journal | Physical Review C - Nuclear Physics |

Volume | 55 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1997 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*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.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 55, no. 3, pp. 1319-1326. https://doi.org/10.1103/PhysRevC.55.1319

}

TY - JOUR

T1 - Scaling behavior in very small percolation lattices

AU - Elliott, J. B.

AU - Gilkes, M. L.

AU - Hauger, Joseph A.

AU - Hirsch, A. S.

AU - Hjort, E.

AU - Porile, N. T.

AU - Scharenberg, R. P.

AU - Srivastava, B. K.

AU - Tincknell, M. L.

AU - Warren, P. G.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=0031528882&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031528882&partnerID=8YFLogxK

U2 - 10.1103/PhysRevC.55.1319

DO - 10.1103/PhysRevC.55.1319

M3 - Article

AN - SCOPUS:0031528882

VL - 55

SP - 1319

EP - 1326

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 3

ER -