TY - JOUR
AU - Lebovka, N. I.
AU - Bulavin, L. A.
AU - Melnyk, I. A.
AU - Repnin, K. F.
AU - Kovalchuk, V. I.
PY - 2019/01/15
Y2 - 2024/06/16
TI - Impact of Aggregation on the Percolation Anisotropy on a Square Lattice in an Elongated Geometry
JF - Ukrainian Journal of Physics
JA - Ukr. J. Phys.
VL - 60
IS - 9
SE - Solid matter
DO - 10.15407/ujpe60.09.0910
UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019180
SP - 910
AB - <p>The Monte Carlo simulation is applied to study the impact of the aggregation on the percolation anisotropy on a square lattice in the elongated Lx × Ly geometry. An interactive cluster-growth model, in which the probability of occupying a site on a lattice fz is dependent on the number of occupied neighboring sites z is used. The value of fz is 1/r at z = 0 and is equal to 1 in other cases. The degree of the aggregation parameter r ≥ 1 controls the morphology of aggregates. The transition from r = 1 to r → ∞ corresponds to the transition from the ordinary random percolation to the percolation of compact Eden clusters. The effects of the lattice aspect ratio a = Lx/Ly (Lx > Ly) on the finite-size scaling and the electrical conductivity are studied. The data evidence that the percolation threshold pc goes through the minimum, and the finite-size effects are enhanced with increase in r. The dependence of the electrical conductivity on the measuring direction (x or y) at different values of r and a is discussed.</p>
ER -