Cluster size distribution in Bernoulli site percolation on a Poisson disc process

película

Cluster size distribution in Bernoulli site percolation on a Poisson disc process

Licencia

Enviado por

Créditos

Bernoulli site percolation on a Poisson disc process, for different lattice sizes. Open clusters are colored according to their size.

A Poisson disc process is first generated, and discs whose distance is smaller than a given threshold are connected. The parameter p increasing from 0 to 1 is the probability that a disc is open. Closed discs are shown in dark blue, and open ones in various shades of light blue, white and red The increase of p slows down when it reaches 1/2. The histogram shows the distribution of cluster sizes. The model has some similarity with more studied continuum percolation models, such as the disc model and the Boolean model.

Archivos

Más películas