Electrical energy density and dissipation in graphene: Equivalent-circuit method

In this paper, by using the equivalent electrical circuit method, an analytical study for the electrical and dissipated energy densities in graphene is presented. In the first step, electronic excitations on the graphene surface are described by an infinitesimally thin layer of electron fluid, ignoring the electrons completely. Then, general expressions of electrical and dissipated energy densities are obtained by using a simple equation of motion for an electron of the electron fluid (that is subjected to a time dependent external electric field) in conjunction with the equivalent electrical circuit method. In the next step, in the range of high frequencies, by means of the conductivity formula of the system that is recently presented, the problem is investigated in a two-fluid model.