Percolation in networks with long-range connections

Cristian F. Moukarzel

Physica A: Statistical Mechanics and its Applications, 2006, vol. 372, issue 2, 340-345

Abstract: Two-dimensional lattices of points are connected with long-range links, whose lengths are distributed according to P(r)∼r-α. By changing the decay exponent α one can go from d-dimensional short-range networks to ∞-dimensional networks topologically similar to random graphs. Percolation on these networks is numerically studied for systems of up to 107 sites. The shortest-path, fractal and chemical dimensions are determined at the critical threshold, as a function of the decay exponent α.

Keywords: Long-range interactions; Power-law distribution; Effective dimension; Percolation; Chemical dimension; Small-world; Networks; Phase transitions; Graphs (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:372:y:2006:i:2:p:340-345

DOI: 10.1016/j.physa.2006.08.049

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