Modeling of Memcapacitor with Anelastic Dielectric via Two-Port Capacitor

A methodology of modeling hybrid, particularly electromechanical systems, exhibiting the behavior of generic memcapacitors, is demonstrated via the example of a capacitor with anelastic dielectric. The model contains one-port elements from Chua's table of fundamental elements, and a two-port capacitor with one electric and one mechanical port. The electric port serves as a memcapacitor charge-voltage port, and the variables of the mechanical port are the deflection of the dielectric and the electrostatic force causing this deflection. It is shown that this two-port capacitor is a reciprocal element whose state function is the energy of electrostatic field of the memcapacitor. A circuit, governing the memcapacitor dynamics, which is given by the state equation, is connected to the mechanical port. The model behavior is studied via computer simulation.