Perimeter polynomials for bond percolation processes
- 1 January 1981
- journal article
- editorial
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 14 (1) , 287-293
- https://doi.org/10.1088/0305-4470/14/1/028
Abstract
Perimeter polynomials are given for the bond percolation problem on the following lattices: the triangular up to D9, simple quadratic (D13), honeycomb (D17), face-centred cubic (D7), body-centred cubic (D8), simple cubic (D9) and diamond (D13). The total number of bond clusters grouped by size is given to two further orders in each case.Keywords
This publication has 15 references indexed in Scilit:
- Percolation theoryReports on Progress in Physics, 1980
- The critical dimension for lattice animalsJournal of Physics A: General Physics, 1980
- Bond percolation processes in d dimensionsJournal of Physics A: General Physics, 1978
- On the asymptotic number of lattice animals in bond and site percolationJournal of Physics A: General Physics, 1978
- Percolation exponent δpfor lattice dimensionality d⩾3Journal of Physics A: General Physics, 1977
- Percolation processes in three and more dimensionsPhysica B+C, 1977
- Percolation processes in d-dimensionsJournal of Physics A: General Physics, 1976
- Percolation processes in two dimensions. V. The exponent δpand scaling theoryJournal of Physics A: General Physics, 1976
- Percolation and ConductionReviews of Modern Physics, 1973
- Graph theory and statistical physicsDiscrete Mathematics, 1971