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Percolation On Growing Lattices

Author

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  • DANIEL TIGGEMANN

    (Institute of Theoretical Physics, University of Cologne, 50937 Köln, European Union, Germany)

Abstract

In order to investigate the dependence on lattice size of several observables in percolation, the Hoshen–Kopelman algorithm was modified so that growing lattices could be simulated. By this way, when simulating a lattice of sizeL, lattices of smaller sizes can be simulated in the same run for free, saving computing time.Here, site percolation in three dimensions was studied. Lattices of up toL = 5000, with manyL-steps in between, have been simulated, for occupation probabilities ofp = 0.25,p = 0.3,p = pc= 0.311608, andp = 0.35.

Suggested Citation

  • Daniel Tiggemann, 2006. "Percolation On Growing Lattices," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(08), pages 1141-1150.
    • Handle: RePEc:wsi:ijmpcx:v:17:y:2006:i:08:n:s012918310600962x
    DOI: 10.1142/S012918310600962X
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