  We have studied the electrical conductance of two-dimensional (2D) random
percolating networks of zero-width metallic nanowires (a mixture of rings and
sticks). We toke into account the nanowire resistance per unit length and the
junction (nanowire/nanowire contact) resistance. Using a mean-field
approximation (MFA) approach, we derived the total electrical conductance of
these nanowire-based networks as a function of their geometrical and physical
parameters. The MFA predictions have been confirmed by our Monte Carlo (MC)
numerical simulations. The MC simulations were focused on the case when the
circumferences of the rings and the lengths of the wires were equal. In this
case, the electrical conductance of the network was found to be almost
insensitive to the relative proportions of the rings and sticks provided that
the wire resistance and the junction resistance were equal. When the junction
resistance dominated over the wire resistance, a linear dependency of the
electrical conductance of the network on the proportions of the rings and
sticks was observed.
