The case for rejecting the memristor as a fundamental circuit element (2018)

Slot (B,X) satisfies the derivative based definition of a capacitor namely \(C\frac{d

u }{dt}=i\) or the form that maps to our periodic table \({C}^{-1}\dot{q}=\dot{

u }\). If there is place for a new fundamental element, it would be slot (D, Y) with a governing relation \(U\,\dddot{q}=

u \), equivalent to \(

u =U\frac{{d}^{2}i}{d{t}^{2}}\), where U is some yet to be discovered phenomenological constant. Faraday’s law states that the negative of the rate of change of magnetic flux (\({\varnothing }_{B}\)) will be equal to the electric potential (∈) developed in the element, such as an inductor.

Source: www.nature.com