NON-UNIQUENESS OF SPANNING CLUSTERS IN TWO TO FIVE DIMENSIONS

Parongama Sen
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Parongama Sen: Institute for Theoretical Physics, University of Cologne, 50923 Köln, Germany

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 04, 603-607

Abstract: We study the probability of getting more than one spanning cluster atpcfor site percolation in dimensions of two to five. The probability increases from ~0.003 in two dimensions to ~0.16 in five. This shows that although there can be only one infinite cluster of finite density, there can be several spanning clusters at the same time.

Keywords: Infinite Cluster; Spanning Cluster (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S0129183196000508

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