Shape-dependent universality in percolation

Details Shape-dependent universality in percolation Shape-dependent universality in percolation

1998-11-09

arxiv.org/abs/cond-mat/9811122v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 pages, 3 figures, to be published in Physica A

Scientific paper

The shape-dependent universality of the excess percolation cluster number and
cross-configuration probability on a torus is discussed. Besides the aspect
ratio of the torus, the universality class depends upon the twist in the
periodic boundary conditions, which for example are generally introduced when
triangular lattices are used in simulations.

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