What is the probability of connecting two points ?
نویسنده
چکیده
The two-terminal reliability, known as the pair connectedness or connectivity function in percolation theory, may actually be expressed as a product of transfer matrices in which the probability of operation of each link and site is exactly taken into account. When link and site probabilities are p and ρ, it obeys an asymptotic power-law behaviour, for which the scaling factor is the transfer matrix’s eigenvalue of largest modulus. The location of the complex zeros of the two-terminal reliability polynomial exhibits structural transitions as 0 ≤ ρ ≤ 1. PACS numbers: 89.20.-a, 05.50.+q, 02.10.Ox Submitted to: J. Phys. A: Math. Gen. What is the probability of connecting two points ? 2
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عنوان ژورنال:
- CoRR
دوره abs/cs/0612142 شماره
صفحات -
تاریخ انتشار 2006