Electrical conductivity of random metallic nanowire networks: an analytical consideration along with computer simulation

Abstract

A mean-field approach is used to predict the electrical conductivity in random metallic nanowire networks. Comparison with direct computations demonstrates that analytical predictions of the electrical conductivity is valid across a wide range of number densities of nanowires.

Invariant percolation properties in random isotropic systems of conductive discorectangles on a plane: From disks to sticks

“…Using an analytical formula for the electrical conductivity of 2D system of randomly placed conductive sticks that was obtained within a mean-field approach [18]…”

“…[15]. The electrical properties of the 2D systems of randomly-placed conductive particles of the above shapes have also been studied [12,[16][17][18], with the greatest attention being paid to the simplest shape, i.e., to zero-width sticks [19][20][21], and the particular case when only the junction resistance is taken into account [22]. Some eccentricity-invariant properties of random isotropic, two-dimensional (2D) systems of conductive ellipses have recently been reported [12].…”

Transparent electrodes based on mixtures of nanowires and nanorings: A mean-field approach along with computer simulation

“…MC simulations of the electrical conductance have been performed for random 2D systems of conductive sticks [20][21][22][23][24][25] and rings. 6,26,27 The electrical properties of such systems have been considered theoretically using a percolation theory, 28 a mean-field approximation (MFA) approach, 6,21,[24][25][26][27]29 network analysis 30,31 , and an effective medium theory (EMT) approach. 32 MC simulations of electrical percolation in thin films with conductive disks and sticks have been performed.…”

Random 2D nanowire networks: Finite-size effect and the effect of busbar/nanowire contact resistance on their electrical conductivity

“…This review should be extended by some recently published works devoted to nanostick-and nanowirebased random 2D networks. [3][4][5][6][7][8][9] Ref. 2 proposed a closedform approximation of the functional dependence of the effective resistance (R 0 ) of 2D random networks of zerowidth stick nanowires on their physical parameters…”

“…Since details of the computer simulation have been described previously, [7][8][9]14 we present in Sec. II A only a brief sketch using the nanoring-based system as an example.…”