Assignment for Lab 2: Percolation.
 
 

• Write a C code for:
Generating a configuration of site percolation on an  N x N square lattice with occupation probability p

• Use one of the random number generators you wrote in Lab 1 to generate a series of N² random numbers in (0, 1).
• Check each random number against p to determine whether a site is occupied or not. Assign s(i)=1 for occupied and s(i)=0 for unoccupied site (i=1,2,..., N²).
 
 
• Compile and run this code on a Digital workstation to generate a configuration for a 6 x 6 matrix.

• Print the output s(i) as a 6 x 6 matrix.

• Compile the cluster identification with recursive function code shown in the lecture and run it using the above computed s(i) as input.

• Print the cluster index for each s(i). Preferablly s(i) in the first column, and cluster index number(i) in the second column.

• Optional:
• You can try to combine these two codes together, and run it in a multi-step loop. This way you generate multiple configurations.
• You can further try to add another section to compute ns and other physical quantities after N steps by using the fomula for finite systems as given in the lecture.

Now you have designed a complete code for simulation of site percolation on a square lattice!