Java Applet: Percolation

This applet demonstrates site percolation on a two-dimensional square lattice. The picture on the left represents an LxL lattice. Occupied sites are shown by colored circles, and empty sites are not colored. A site which belongs to a finite (non-spanning) cluster is colored blue, and sites belonging to a spanning cluster are colored green. A cluster can be highlighted in red by moving the mouse pointer onto any of its sites.

The data window on the upper right of the applet displays the following observables:

• The total number of occupied sites
• The number of finite (non-spanning) clusters
• The mean size of finite clusters
• If the mouse pointer is over the lattice, the following are displayed:
  • The x and y coordinates of the site under the mouse
  • The random number r associated with this site when the sample is created
  • If the mouse pointer is inside a cluster, the following are displayed:
    • The number of sites in the cluster
    • The Hoshen-Kopelman proper label of the cluster
• If the sample is percolating, the following are displayed:
  • The number of sites in the spanning cluster
  • The observable P_oo

• The linear size L of the lattice
• 4 radio buttons to select the definition of a spanning cluster:
  • Vert: the spanning cluster must run from top to bottom
  • Horz: the spanning cluster must run from left to right
  • Both: the spanning cluster must run from top to bottom AND also from left to right
  • VorH: the spanning cluster can run from top to bottom OR from left to right
• The New Sample button creates a new sample by assigning a fresh set of random numbers r_i to the lattice sites
• The slider can be used change the percolation parameter p

Click for java source file: Percolation.java.
This applet uses the comphys package.

Maintained by: Dr. R.J. Gonsalves
Last updated: