We present a heat transfer model to obtain the temperature distribution within aligned nanorod arrays. The model includes thermal conduction along each nanorod in addition to a phenomenological treatment of near-field radiative energy exchange among the nanorods and allows us to investigate the interplay between these effects. The contribution of the near-field radiative energy exchange to overall heating is found to increase significantly with a decrease in inter-nanorod spacing and an increase in array size; the effect is also more prominent for nanorods with lower thermal conductivity and higher emissivity.
REFERENCES
1.
A. M.
Marconnet
, M. A.
Panzer
, and K. E.
Goodson
, Rev. Mod. Phys.
85
, 1295
(2013
). 2.
B.
Kumanek
and D.
Janas
, J. Mater. Sci.
54
, 7397
(2019
). 3.
J.
Xu
and T. S.
Fisher
, Int. Soc. Conf. Therm. Phenom.
2
, 549
(2004
).4.
M. A.
Peacock
, C. K.
Roy
, M. C.
Hamilton
, R. W.
Johnson
, R. W.
Knight
, and D. K.
Harris
, Int. J. Heat Mass. Transf.
97
, 94
(2016
).5.
D. G.
Cahill
, P. V.
Braun
, G.
Chen
, D. R.
Clarke
, S.
Fan
, K. E.
Goodson
, P.
Keblinski
, W. P.
King
, G. D.
Mahan
, A.
Majumdar
, H. J.
Maris
, S. R.
Phillpot
, E.
Pop
, and L.
Shi
, Appl. Phys. Rev.
1
, 011305
(2014
).6.
M.
Francoeur
, M. P.
Mengüç
, and J.
Quant
, Spectrosc. Radiat. Transfer
109
, 280
(2008
). 7.
K.
Joulain
, J. P.
Mulet
, F.
Marquier
, R.
Carminati
, and J. J.
Greffet
, Surf. Sci. Rep.
57
, 59
(2005
). 8.
D.
Thompson
, L.
Zhu
, R.
Mittapally
, S.
Sadat
, Z.
Xing
, P.
McArdle
, M. M.
Qazilbash
, P.
Reddy
, and E.
Meyhofer
, Nature
561
, 216
(2018
). 9.
R.
St-Gelais
, L.
Zhu
, S.
Fan
, and M.
Lipson
, Nat. Nano
11
, 515
(2016
). 10.
R.
Kubo
, Rep. Prog. Phys.
29
, 255
(1966
). 11.
L.
Carrillo
, Y.
Bayazitoglu
, and J.
Quant
, Spectrosc. Radiat. Transfer
112
, 412
(2011
). 12.
P.
Vincent
, S. T.
Purcell
, C.
Journet
, and V. T.
Binh
, Phys. Rev. B
66
, 075406
(2002
). 13.
P.
Yaghoobi
, M. V.
Moghaddam
, and A.
Nojeh
, Solid State Commun.
151
, 1105
(2011
). 14.
A. H.
Khoshaman
, H. D. E.
Fan
, A. T.
Koch
, G. A.
Sawatzky
, and A.
Nojeh
, IEEE Nano. Magn.
8
, 4
(2014
). 15.
A.
Nojeh
, MRS Bull.
42
, 500
(2017
). 16.
H.
Ye
, X. J.
Wang
, W.
Lin
, C. P.
Wong
, and Z. M.
Zhang
, Appl. Phys. Lett.
101
, 141909
(2012
). 17.
E.
Pop
, D.
Mann
, Q.
Wang
, K.
Goodson
, and H.
Dai
, Nano Lett.
6
, 96
(2006
). 18.
C.
Sevik
, H.
Sevinçli
, G.
Cuniberti
, and T.
Çağın
, Nano Lett.
11
, 4971
(2011
). 19.
A. E.
Aliev
, M. H.
Lima
, E. M.
Silverman
, and R. H.
Baughman
, Nanotechnology
21
, 035709
(2010
). 20.
P.
Martin
, Z.
Aksamija
, E.
Pop
, and U.
Ravaioli
, Phys. Rev. Lett.
102
, 125503
(2009
). 21.
R. S.
Prasher
, X. J.
Hu
, Y.
Chalopin
, N.
Mingo
, K.
Lofgreen
, S.
Volz
, F.
Cleri
, and P.
Keblinski
, Phys. Rev. Lett.
102
, 105901
(2009
). 22.
S.
Berber
, Y. K.
Kwon
, and D.
Tomanek
, Phys. Rev. Lett.
84
, 4613
(2000
). 23.
V. A.
Golyk
, M.
Krüger
, and M.
Kardar
, Phys. Rev. E
85
, 046603
(2012
). 24.
Y.
Fan
, S. B.
Singer
, R.
Bergstrom
, and B. C.
Regan
, Phys. Rev. Lett.
102
, 187402
(2009
). 25.
J.
Liu
, T.
Li
, Y.
Hua
, and X.
Zhang
, Nanoscale
9
, 1496
(2017
). 26.
R. R.
Nair
, P.
Blake
, A. N.
Grigorenko
, K. S.
Novoselov
, T. J.
Booth
, T.
Stauber
, N. M. R.
Peres
, and A. K.
Geim
, Science
320
, 1308
(2008
). 27.
28.
M.
Kruger
, G.
Bimonte
, T.
Emig
, and M.
Kardar
, Phys. Rev. B
86
, 115423
(2012
). 29.
I.
Latella
, P.
Ben-Abdallah
, S.-A.
Biehs
, M.
Antezza
, and R.
Messina
, Phys. Rev. B
95
, 205404
(2017
). 30.
M.
Nikbakht
, Phys. Rev. B
96
, 125436
(2017
). 31.
I.
Latella
, S.
Biehs
, R.
Messina
, A. W.
Rodriguez
, and O.
Ben-Abdallah
, Phys. Rev. B
97
, 035423
(2018
). 32.
Y. H.
Kan
, C. Y.
Zhao
, and Z. M.
Zhang
, Phys. Rev. B
99
, 035433
(2019
). 33.
K. J.
Voon
, M.
Chang
, G. A.
Sawatzky
, and A.
Nojeh
, in Proceedings of 32nd International Vacuum and Nanoelectronics Conference
(IVNC, Cincinnati
, 2019
).34.
M.
Chang
, H. D. E.
Fan
, M. M.
Chowdhury
, G. A.
Sawatzky
, and A.
Nojeh
, Phys. Rev. B
98
, 155422
(2018
). 35.
M.
Chang
, M.
Dahmardeh
, M. V.
Moghaddam
, S. M.
Mirvakili
, J. D. W.
Madden
, K.
Takahata
, A.
Nojeh
, in Proceedings of 58th International Conference on Electron Ion Photon Beam Technology and Nanofabrication
, (EIPBN, 2014
), P02
-02
.36.
J.
Xu
, Y.
Zhao
, and C.
Zou
, Chem. Phys. Lett.
423
, 138
(2006
). 37.
A. H.
Khoshaman
, H. D. E.
Fan
, A. T.
Koch
, and G. A.
Sawatzky
, IEEE Nanotechnol. Magn.
8
(2
), 4
(2014
). 38.
39.
S. T.
Purcell
, P.
Vincent
, C.
Journet
, and V. T.
Binh
, Phys. Rev. Lett.
88
(10), 105502
(2002
).© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.
