Dynamics of a charge transfer through a memristor between two initially charged cells: Conference

International audienceA charge-controlled memristor model, with the memristive expression M(q) defined as the ratio between the voltage through the memristor and the current flowing into it, is used in the quantitative study of the charge transfer between two cells initially charged with known voltages. Calling q0 the total charge having flown into the memristor since its first use illustrating the memory feature of this component-, we show that the derivative of M(q) versus q must be a continuous function of q, leading us to improve the expression for M(q). Then, the dynamics of this charge transfer, as well as the time evolution of the voltages of both cells, is analyzed analytically and confirmed by numerical experiments.Fig. 3: TiO 2 memristor description.Fig. 5: Comparing the continuity of memristance functions [6]