The missing magnetic flux in the HP memristor found
Gale, E. (2011) The missing magnetic flux in the HP memristor found. Working Paper. University of the West of England, Bristol. [Unpublished]
Publisher's URL: http://arxiv.org/abs/1106.3170
Ever since real-world two terminal memristor devices were created, detractors have derided them as not `true' Chua memristors because there is no magnetic flux in the system. This report shows that the flux is present and equal to the magnetic flux of the oxygen vacancies. This shows that the HP memristor is a `true' Chua memristor. The memristor description has been separated out into the memory function, which is the memrsitance described by Chua in 1971 and the conservation function, which is necessary to describe the whole HP memristor. As the memory function deals with the vacancy mobility and the measurable current is mostly electronic, it is apparent that a description of the HP memristor must include two charge carriers. From analysis of Stan William's model in terms of memory and conservation functions, a direct relation to Chua's original memristance equation and an approximation of magnetic flux have both been identified as being present in the original model. With this, the phenomenological model used by experimentalists and the mathematical model beloved by theoreticians have been combined into one.
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