How is a memristor different from a resistor

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Discussion Overview

The discussion centers on the differences between memristors and resistors, particularly focusing on the mathematical relationships and properties that define each component. Participants explore the implications of the memristor's behavior in relation to established circuit elements like resistors, inductors, and capacitors.

Discussion Character

  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the memristor's equation leads to a form of Ohm's law, questioning whether the constant M is equivalent to resistance.
  • Another participant clarifies that M is a function of charge, indicating that it varies over time, unlike the constant resistance of a typical resistor.
  • A participant questions whether the non-constant nature of M disrupts the symmetry among resistors, inductors, and capacitors, suggesting that this could make the memristor unique among them.
  • Further clarification is provided that M itself is not constant, but rather its change with charge is what defines its behavior, similar to how voltage changes with charge in capacitors.
  • A reference to a 1971 paper by Leon O. Chua is provided for additional context on the memristor's theoretical foundations.

Areas of Agreement / Disagreement

Participants express differing views on the implications of M's variability, with some asserting that it distinguishes the memristor from other circuit elements, while others explore the potential symmetry in the equations governing these components. The discussion remains unresolved regarding the broader implications of these differences.

Contextual Notes

Participants note that the relationship between M and charge introduces complexities that are not present in traditional resistors, inductors, and capacitors. There are also references to specific mathematical formulations and theoretical predictions that may not be fully explored in the discussion.

iampaul
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I read that the memristor is described by the equation dφ=Mdq. If both sides are divided by dt, then dφ/dt=Mdq/dt.
But dφ/dt=V and dq/dt=I. Then V=MI which is ohm's law. Isn't the constant M just the same as resistance?
 
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M is a function of charge flown (and therefore a function of time as well), that is the point of the memristor. A resistor would have a constant M.

(Mdq)/dt is not the same as M(dq/dt).
 
So M is not a constant unlike R, L, and C? I read that the memristor was predicted due to the symmetry of the equations for R, L and C. If M is not constant with respect to time, doesn't that make the memristor the odd one out o the four, so that there is still no symmetry?
 
M is not the constant. The constant is how M changes with charge, in the similar way as the voltage at a capacitor changes with charge.
 

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