@inproceedings {hernal-spp-2008, title = {Spanning a space in a quasi-one dimensional lattice vs. two-dimensional lattice with square banned sites}, booktitle = {Proceedings of the 26th Samahang Pisika ng Pilipinas Physics Congress}, year = {2008}, month = {22{\textendash}24 Oct 2008}, pages = {SPP-2008-163}, address = {University of the Phlippines Baguio, Baguio City}, abstract = {
Percolation thresholds in quasi- one and two dimensional systems were compared. In the former, one-way spanning is employed with a spanning cluster defined as an array that extends horizontally from one end of the lattice to the other. A four-corner checking procedure is introduced in this study to measure the percolation threshold in the corresponding two-dimensional systems with square banned sites (2DSBS). The results indicate that the threshold values from the two methods converge suggesting that the quasi-1D system and the 2DSBS are equivalent topologically.
}, author = {Mary Joyce Hernal and Cristine Villagonzalo and Ronald S. Banzon} }