Memristor, which makes relationship between charge and flux, has not been discovered, according to Wikipedia. So I tried to implement it, here linear.
As it both stores charges and induces magnetic flux, I thought it as some chimera of capacitor and inductor, and came up with the structure below:
Though I can't tell it actually works, because of the following reasons:
- How should the wires be modeled like? They cannot be thickless lines, as it would violate Kirchhoff's current law.
- What will the charges distributed like? Will they be evenly distributed? Will they also be distributed in the vertical wires?
- Until where will the magnetic field be? Will it be just like above, so I could calculate flux by integrating within rectangle?
- How should be Maxwell's equations applied? They tell about electric fields and magnetic fields, not charges and fluxes.
Regardless of whether it is actually a memristor, I'd like to solve the system. Thanks.
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