Wolfram Research

Mathematica MathWorld Wolfram Science More »

HOME

Current-Voltage Characteristics of a Memristor


	A memristor (short for memory resistor) is the newly discovered (fourth) fundamental circuit element, the first three being the resistor, capacitor, and inductor. It was realized in 2008, some 37 years after its existence was postulated in 1971. This Demonstration shows the I-V curves for a memristor, modelled as two regions of different resistivities in series, and their dependence on the period of the applied AC voltage and the initial fraction of the low-resistivity region. The unusual I-V curves, plotted for time , show hysteresis that increases with and leads large region of negative differential conductance .


	Contributed by: Yogesh N. Joglekar (IUPUI)
	Show Initialization Code

Starting from the origin, the blue curve shows I-V for

, the red for

, and the subsequent blue shows the I-V for

. The black dots mark I-V for temporally equidistant points

in the interval

Snapshot 1: typical hysteresis loop;

iff

implies that a memristor is a purely dissipative element

Snapshot 2: typical I-V at low frequencies (high

) shows large regions of negative differential conductance

; this behavior is also induced by increasing the initial fraction

of the low-resistivity region

Snapshot 3: the hysteresis is suppressed at high frequencies because the fraction

of the low-resistivity region does not change significantly over the period

for small

Analytical results underlying this Demonstration, as well as references to the original experimental (2008) and theoretical (1971) papers, can be found at http://arxiv.org/abs/0807.3994.

"Current-Voltage Characteristics of a Memristor" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CurrentVoltageCharacteristicsOfAMemristor/

Contributed by: Yogesh N. Joglekar (IUPUI)

Report an issue »

Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now

Browse all topics

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

Wolfram Research

Site Index

RSS

Atom