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.