Percolation and lasing in real 3D crystals with inhomogeneous distributed random pores

G Burlak, Y Calderón-Segura - Physica B: Condensed Matter, 2014 - Elsevier
We systematically study the percolation phase transition in real 3D crystals where not only
the state of pores but also their radius r and displacement s are random valued numbers.
The mean values R=< r> and S=< s> emerge as additional spatial scales in such an
extended network. This leads to variations of the threshold (critical) percolation probability p
C and the percolation order parameter P that become to be the intricate functions of R and S.
Our numerical simulations have shown that in such extended system the incipient spanning …
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