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MEMRISTOR

MEMRISTOR

Memristor

Memory Resistor+

Memristor

Defination of Memristor A memristor is formally defined as a two-

terminal elementin which the magnetic flux between the terminals is a amount of electric charge that has passed through the device.

Characterized by Memristance

Memristance Memristance is simply charge-dependent,

is a property to retain its resistance level even after power had been shut down.

V(t) = M(q(t))*I(t)

Unit - ohm (Ω)

Symbol

Emergence Of Memristic TheoryTheory was developed in 1971 by

Professor Leon Chua at University of California, Berkeley.

Found while exploring symmetry between the three fundamental passive linear circuit elements

In 2006, R.Stanley Williams developed practical model.

Fundamental Circuit Variables

Voltage, V (V) – work done required to bring charge from ∞ to a Electric field.

Current, I (A) – flow of electric chargeFlux, Φ(W) – rate of flow through an

areaCharge, Q (C) – energy per electron

Fundamental Relationships

Current is the derivative of Charge

Q= ∫I dt

Voltage is the derivative of Flux

V= ∫ dΦ/dt

Symmetry Of Relationships

Voltage (V)

Current(i)

Charge (q)

Flux (Φ)

3 Fundamental Passive Linear Elements

Capacitor,C (F)

Resistor,R (Ω)

Inductor,L (H)

CAPACITORS

q = C v

Symmetry Of Relationships

Voltage (V)

Current(i)

Charge (q)

Flux (Φ)

q=CvCapacitors q=CvCapacitorsCapacitors

RESISTORS

Ohm’s Lawv = R i

Symmetry Of Relationships

Voltage (V)

Current(i)

Charge (q)

Flux (Φ)

Resistors v=Ri

Capacitors q=CvCapacitors

INDUCTORS

Φ = L i

Symmetry Of Relationships

Voltage (V)

Current(i)

Charge (q)

Flux (Φ)

Φ = Li Inductors

??

v=dΦ/dt i=dq/dt

Resistors v=Ri

q=CvCapacitors

Symmetry Of Relationships

MemristorsΦ=Mq

Voltage (V)

Current(i)

Charge (q)

Flux (Φ)

Φ = Li Inductors

v=dΦ/dt i=dq/dt

Resistors v=Ri

q=CvCapacitors

Relationship With Other VariablesΦ = M q

dΦ/dt = M(q) dq/dt

V(t) = M(q) I

P = I² M(q)

Property Of Memristor Retain its resistance level even after

power had been shut down

Remember (or recall) the last resistance it had, before being shut off.

Memristic State Memristivity has an inverse square relationship

with thickness of the material, so smaller = better!

Nonvolatile state can be accomplished by memristors because their state is encoded by impedance (physically), not by voltage.

WORKING

PT PTTiOv(2-x)

TiO2

3 nm

2 nm

OxidizedReduced

(-)ve (+)ve

Applied voltage makes the oxygen vacancies (+ve) to shift towards the –ve voltage.

WORKINGShift between the layers in

permanent in nature.It exist even after the voltage has

been removed.Causes the permanent change in

resistance

V-I characteristics

Benefits Of Memristor TechnologyWould allow for a quicker boot up since

information is not lost when the device is turned off.

Creating a Analog Computer that works much faster than Digital ones.

Uses less energy and produces less heat.

What Sets Memristor Apart ?? Conventional devices use only 0 and 1;

Memristor can use anything between 0 and 1.

Faster than Flash memory. Allow digital cameras to take pictures with

no delay inbetween Innovating nanotechnology due to the fact

that it performs better the smaller it becomes.

THANK

YOU