کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7380229 | 1480157 | 2014 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A percolation system with extremely long range connections and node dilution
ترجمه فارسی عنوان
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کلمات کلیدی
پرکولاسیون، ریزش حفره و رشته، دوربرد، شبکه های،
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
چکیده انگلیسی
We study the very long-range bond-percolation problem on a linear chain with both node and bond dilution. Very long-range means that the probability pij for a connection between two nodes i,j at a distance rij decays as a power-law, i.e. pij=Ï/[rijαN1âα] when αâ[0,1), and pij=Ï/[rijln(N)] when α=1. Node dilution means that the probability that a node is present in a site is psâ(0,1]. The behavior of this model results from the competition between long-range connectivity which enhances the percolation, and node dilution which weakens percolation. The case α=0 with ps=1 is well-known, being the exactly solvable mean-field model. The percolation order parameter Pâ is investigated numerically for different values of α, ps and Ï. We show that in all range αâ[0,1] the percolation order parameter Pâ depends only on the average connectivity γ of the nodes, which can be explicitly computed in terms of the three parameters α, ps and Ï.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 416, 15 December 2014, Pages 273-278
Journal: Physica A: Statistical Mechanics and its Applications - Volume 416, 15 December 2014, Pages 273-278
نویسندگان
M.L. de Almeida, E.L. Albuquerque, U.L. Fulco, M. Serva,