Critical probability of percolation over bounded region in N-dimensional Euclidean space
arXiv:1510.08252 · doi:10.1088/1742-5468/2016/03/033306
Abstract
Following H. Tomita and C. Murakami we propose an analytical model to predict critical probability of percolation. It is based on the excursion set theory which allows us to consider N-dimensional bounded regions. Details are given for the 3D case and statistically Representative Volume Elements are calculated. Finally generalisation to the N-dimensional case is made.
17 pages, 5 figures, 2 tables, 1 appendix