10 citations · 18 across the 3 of their papers we have counts for
8 papers
Exact percolation probabilities for a square lattice: Site percolation on a plane, cylinder, and torus
Renat K. Akhunzhanov, Andrei V. Eserkepov, Yuri Yu. Tarasevich
We have found analytical expressions (polynomials) of the percolation probability for site percolation on a square lattice of size sites when considering a plane (the…
Random nanowire networks: Identification of a current-carrying subset of wires using a modified wall follower algorithm
Yuri Yu. Tarasevich, Andrei V. Eserkepov, Renat K. Akhunzhanov +1
We mimic random nanowire networks by the homogeneous, isotropic, and random deposition of conductive zero-width sticks onto an insulating substrate. The number density (the number…
Connectedness percolation in the random sequential adsorption packings of elongated particles
Nikolai I. Lebovka, Mykhailo O. Tatochenko, Nikolai V. Vygornitskii +3
Connectedness percolation phenomena in two-dimensional packings of elongated particles (discorectangles) were studied numerically. The packings were produced using random sequentia…
Identification of a current-carrying subset of a percolation cluster using a modified wall follower algorithm
Renat K. Akhunzhanov, Andrei V. Eserkepov, Yuri Yu. Tarasevich
We have proposed and implemented a modification of the well-known wall follower algorithm to identify a backbone (a current-carrying part) of the percolation cluster. The advantage…
Effect of tunneling on the electrical conductivity of nanowire-based films: computer simulation within a core--shell model
Irina V. Vodolazskaya, Andrei V. Eserkepov, Renat K. Akhunzhanov +1
We have studied the electrical conductivity of two-dimensional nanowire networks. An analytical evaluation of the contribution of tunneling to their electrical conductivity suggest…
Circles of equal radii randomly placed on a plane: some rigorous results, asymptotic behavior, and application to transparent electrodes
Renat K. Akhunzhanov, Yuri Yu. Tarasevich, Irina V. Vodolazskaya
We consider circles of equal radii, , having their centers randomly placed within a square domain of size with periodic boundary conditions ($\mat…