On the physical and circuit-theoretic significance of the Memristor

TL;DR

This paper explores the fundamental physical and circuit-theoretic properties of memristors, emphasizing their relation to resistors and the associated electromagnetic fields, extending the theoretical understanding of their behavior.

Contribution

It provides a comprehensive analysis of the physical and circuit-theoretic significance of memristors, linking their features to electromagnetic field concepts and extending circuit theory discussions.

Findings

Memristors exhibit inductive and capacitive features related to electromagnetic fields.

Resistive characteristics involve accumulation of magnetic and electrostatic energies.

The study extends circuit theory to better understand memristor behavior.

Abstract

It is noticed that the inductive and capacitive features of the memristor reflect (and are a quintessence of) such features of any resistor. The very presence in the resistive characteristic v = f(i) of the voltage and current state variables, associated by their electrodynamics sense with electrical and magnetic fields, forces any resister to cause to accumulate some magnetic and electrostatic fields and energies around itself. The present version is strongly extended in the sense of the circuit theory discussion.