Capacitance properties of a system of coupled nanowires

For a system of parallel quantum wires provided with two bulk metal contacts, the charge distribution induced by the applied voltage is found and the capacitance of the system C is calculated. The screening effects, very weak for a single wire, in the wire array are connected with the electrostatic interaction between wires, which makes the screening length equal to the interwire distance R. As a result, in the static regime $C\sim R^{-1}.$ At the signal frequencies $\omega \gtrsim {D/R}^2$ (D is the diffusion coefficient in wires), a strong frequency dispersion begins and C drops steeply down to the values determined by the distance between contacts.