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Models for Thermal & Thermal : Pave the way for heat control. B aowen Li ( 李保文 ) Nonlinear and Complex Systems Lab Department of Physics. Acknowledgement. Collaborators: Lei Wang (Temasek Lab, NUS) Giulio Casati (Como, Italy and NUS) Financial Support:

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Presentation Transcript
slide1

Models for

Thermal & Thermal :

Pave the way for heat control

Baowen Li (李保文)

Nonlinear and Complex Systems Lab

Department of Physics

IMS, 26 Nov 2004

acknowledgement
Acknowledgement
  • Collaborators:
  • Lei Wang (Temasek Lab, NUS)
  • Giulio Casati (Como, Italy and NUS)
  • Financial Support:
  • NUS Faculty Research Grant
  • Temasek Young Investigator Award
  • (DSTA - Defense Science and Technology Agency , Singapore)

IMS, 26 Nov 2004

outline
Outline
  • Introduction
    • Motivations and objective
  • Thermal diode:
  • Rectification of heat flux
  • Thermal Transistor
  • Pave the way for heat control
  • 4 Summary
  • BL, LWang, G Casati, PRL 93, 184301 (2004) (27 Oct.) (Diode)
  • BL, LWang, G Casati, PRL 94, xx(2005), cond-mat/0410172. (Transistor)

IMS, 26 Nov 2004

what is the most important invention in the 20 th century
What is the most important invention in the 20th century?
  • Transistor was probably the most
  • important invention in the 20th century!

IMS, 26 Nov 2004

brief history of electric transistor
Brief History of (Electric) Transistor
  • Dec. 1947 (J. Barden and W. Brattain)
  • June 1948 (Made public Annoucement)
  • July 1951 FET (W Shockley - a Theorist)
  • Sept. 1951 (Transistor Symposium to comm.
  • Licence for 25,000US$)
  • 1953 (Mass production by RAYTHEON)

Bell Lab

Texas Instrument

IMS, 26 Nov 2004

how about heat
How about heat?
  • Can we invent similar device to control heat?
  • Heat is more important than electricity for human being and other forms of life.

IMS, 26 Nov 2004

daily life experience
Daily life experience

Energy saving materials

IMS, 26 Nov 2004

efficient thermal remover taker for electronic chips

Electronic Industry

Efficient thermal remover/taker for electronic chips

THE STRAITS TIMES: Tuesday, May 18, 2004

IMS, 26 Nov 2004

defence
Defence
  • Cosy uniform
  • Infrared invisible materials

IMS, 26 Nov 2004

2 diode one way street
2. Diode: one way street

IMS, 26 Nov 2004

slide14

2. Thermal diode/rectifier

  • Question:
  • Can we control heat flow in solid state device?
  • If TL > T R, heat flows from left to right.
  • If TL < T R, heat flow is inhibited from right to left.

TL

TR

IMS, 26 Nov 2004

new configuration
New configuration?

T+

T-

T-

T+

IMS, 26 Nov 2004

slide18

Configuration of the diode model from

two coupled nonlinear oscillator chains

IMS, 26 Nov 2004

slide19

Heat conduction properties of the Frenkel-Kontorova model (BH,BLi,HZ, PRE 57, 2992 (1998).

IMS, 26 Nov 2004

slide20

Heat conduction properties of the Frenkel-Kontorova model (BH,BLi,HZ, PRE 57, 2992 (1998).

IMS, 26 Nov 2004

slide21

Heat conduction properties of the Frenkel-Kontorova model (BH,BLi,HZ, PRE 57, 2992 (1998).

Temperature profile

For N=100,200, 300

dT/dx ~ 1/N

IMS, 26 Nov 2004

slide22

Heat conduction properties of the Frenkel-Kontorova model (BH,BLi,HZ, PRE 57, 2992 (1998)).

Heat current

J~ 1/N

Thermal Conductivity:

IMS, 26 Nov 2004

phonon band of the frenkel kontorova model
Phonon band of the Frenkel-Kontorova model
  • Low temperature limit:
  • High temperature limit:
  • Maximal rectifying efficiency:

IMS, 26 Nov 2004

slide25

I-V curve

(Li and Wang and Casati, PRL 93, 184301(2004)

T+

T-

T-

T+

IMS, 26 Nov 2004

slide26

(a) Heat current vs

coupling constant

(b) Temperature profile

IMS, 26 Nov 2004

slide27

Heat current versus

the ratio of two lattice constants

IMS, 26 Nov 2004

slide28

Finite size effect

IMS, 26 Nov 2004

slide30

MOSFET

VD(+)

D(Drain)

ID

IG

VG

IG≈ 0,

ID≈ IS

G(Gate)

IS

S(Source)

VS(-)

IMS, 26 Nov 2004

slide31

How to build a thermal transistor ?

To

TS

TD

JD

JG

TG

J

Differentil thermal resistance:

JS

JD

T0~TG

TS

TD

IMS, 26 Nov 2004

how to build a thermal transistor
How to build a thermal transistor?

Current amplification:

  • The thermal transistor never works !!!

IMS, 26 Nov 2004

how to build a thermal transistor33
How to build a thermal transistor?
  • Think something differently!!!

JD

  • How about if one of the
  • thermal resistance
  • is negative?

JS

T0~TG

IMS, 26 Nov 2004

iii negative differential thermal resistance conductance bli et al cond mat 0410172
III Negative Differential Thermal Resistance/Conductance (BLi et al. cond-mat/0410172)

IMS, 26 Nov 2004

slide36
III. Negative differential thermal resistance/conductance:The physical mechanism (BLi et al. cond-mat/0410172)

IMS, 26 Nov 2004

iv thermal transistor configuration bli et al cond mat 0410172
IV. Thermal transistor: configuration (BLi et al. cond-mat/0410172)

IMS, 26 Nov 2004

iv thermal transistor a switch bli et al cond mat 0410172
IV. Thermal transistor:A switch (BLi et al. cond-mat/0410172)

At the three points

TG=.04, .09, .14

JG=0

JD=2.4e-6, 1.1e-4, 2.3e-4

2.3e-4/2.4e-6~100

IMS, 26 Nov 2004

iv possible nanoscale experiment
Temperature (simulation):

T ~ (0.1 ~ 1)

Real temperature

Tr ~ (10 ~ 100K)

System size:

Simulation: N ~(100-1000) Lattice sites

Real size:(10-100nm)

Possible nanomaterials: Nanotubes, Nanowires, Thin film ….

IV. Possible nanoscale experiment

IMS, 26 Nov 2004

iii summary
III Summary
  • Rectifying effect is very generic in nonlinear lattices.
  • A thermal diode model is proposed.
  • A thermal transistor model is built based on the
  • negative differential thermal resistance.
  • Physical mechanism for the thermal diode/transistor are fully understood.

IMS, 26 Nov 2004

slide42

Heat conduction

Related Publications

  • B Li, L Wang, and G Casati, Phys. Rev. Lett. 94 (2005) (in press) cond-mat/0410172 (transistor)
  • B Li, L Wang, and G Casati, Phys. Rev. Lett. 93, 184301 (2004) (diode)
  • B Li, G Casati, J Wang, and T Prosen, Phys. Rev. Lett. 92, 254301 (2004)
  • J.-S Wang and B. Li, Phys. Rev. Lett.92, 074302(2004)
  • B Li and J Wang,Phys. Rev. Lett92, 089402 (2004)
  • B Li and J Wang, Phys. Rev. Lett91, 044301 (2003)
  • B Li, L Wang, and B HuPhys. Rev. Lett88, 223901 (2002)
  • B Li, H Zhao, and B HuPhys. Rev. Lett87, 069402 (2001)
  • B Li, H Zhao, and B Hu Phys. Rev. Lett. 86, 63 (2001)
  • B Li, J Wang, L Wang, and G Zhang, CHAOS (FPU’s 50th focus issue, 2005 March), cond-mat/0410355
  • G Zhang and B Li, Phys. Rev. B. cond-mat/0403393
  • G Zhang and B Li, Phys. Rev. E. cond-mat/0406498.
  • J.-S Wang and B Li, Phys. Rev. E70, 021204 (2004)
  • B Li, G Casati, and J Wang, Phys. Rev. E67, 021204 (2003)
  • B Hu, B Li and H Zhao,Phys. Rev. E61, 3828 (2000)
  • B Hu, B Li, and H Zhao, Phys. Rev. E57, 2992 (1998)

IMS, 26 Nov 2004

slide43
Thank You!

IMS, 26 Nov 2004