Percolating clusters, invaded-cluster

So, how does the invaded cluster algorithm work Basically, it is just a variation of the Swendsen-Wang algorithm in which the temperature is continually adjusted to look for the critical point. The algorithm finds the fraction of links at which a percolating backbone of spins first forms across the lattice and uses this fraction to make successively better approximations to the critical temperature at each Monte Carlo step. In detail, here s how it goes ... 

When the assumption of negligible viscous forces is not made, researchers have modified the invasion percolation algorithm to incorporate a flow-induced pressure drop within the invading cluster in a variety of ways typically following a dynamic invasion algorithm, such as the following ... 

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