Percolation on disordered mosaics

To assess the effect of randomness on the permeability of topologically disordered structures we study the percolation properties of a bond model on various random mosaics. The networks are efficiently generated by topological models which reproduce a wide range of naturally observed structures. The percolation properties are obtained by Monte Carlo calculations on the corresponding site model for which we have developed a novel algorithm to create moderate lattice disorder. Our numerical results exhibit that the percolation threshold grows with increasing disorder on ordinary random mosaics due to the increased variation in the number of cell edges. However, in binary structures where randomness reduces the number of large and small cells we observe an unexpected threshold decrease.