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Percolation with thick symmetric barrier in finite systems

Pasternak K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2011

Vol. 10, nr 2

199-204

In this article site percolation is studied on an LxL square lattice with a thick, symmetric barrier. Long-range connectivity is the result of the occupancy probability defined on the site. The influence of the thin and thick barrier on the percolation is analysed and the algorithm of control of the effectiveness of the scalability is proposed.

Percolation with a barier in finite systems

Drzewiński A., Klimek M., Kośmider M., Pasternak K., Szota K.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2010

Vol. 9, nr 2

37-41

The site percolation, where the long-range connectivity is the result of the occupancy probability defined on a site, is studied on the L×L square lattice. Method of determining of the location of the percolation pseudo-threshold pc(L) is proposed and the influence of a barrier on the percolation pseudo-threshold is analysed.