Computational Techniques in Theoretical Physics   Homework 4.
 

• Write down the percolation probability P and average cluster size S as a function of the occupation probability for a simple cubic lattice.

• An occupation probability p = 0.623 is used in a site percolation simulation on an infinite square lattice, determine its percolation probability, average cluster size and correlation length.

• The exponents tau and sigma for a lattice are 0.48 and 2.31 respectively, derive the other exponents beta and gamma.