@article{Lebovka_Bulavin_Melnyk_Repnin_Kovalchuk_2019, title={Impact of Aggregation on the Percolation Anisotropy on a Square Lattice in an Elongated Geometry}, volume={60}, url={https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019180}, DOI={10.15407/ujpe60.09.0910}, abstractNote={<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 &gt; 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>}, number={9}, journal={Ukrainian Journal of Physics}, author={Lebovka, N. I. and Bulavin, L. A. and Melnyk, I. A. and Repnin, K. F. and Kovalchuk, V. I.}, year={2019}, month={Jan.}, pages={910} }