| CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
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Mechanisms Causing Ballistic Thermal Rectification |
| DING Xing, MING Yi** |
School of Physics and Material Science, Anhui University, Hefei 230601
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| Cite this article: |
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DING Xing, MING Yi 2014 Chin. Phys. Lett. 31 046601 |
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Abstract The mechanism causing the ballistic thermal rectification in the harmonic system is analytically studied. Using the conceptual model of a dephasing probe, we obtain that phase breaking is unnecessary to realize the ballistic thermal rectification. However, it can change the strength of rectification. Asymmetric phonon-phonon interaction inducing the energy exchange of the normal mode of vibration is necessary to realize the ballistic thermal rectification. Moreover, the quantum statistics of phonons in at least one thermal reservoir is crucial to guarantee the asymmetric phonon-phonon interaction.
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Received: 07 January 2014
Published: 25 March 2014
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| PACS: |
66.70.-f
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(Nonelectronic thermal conduction and heat-pulse propagation in solids;thermal waves)
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05.60.-k
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(Transport processes)
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44.10.+i
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(Heat conduction)
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[1] Wang L and Li B 2008 Phys. World 21 27
[2] Li N, Ren J, Wang L, Zhang G, H?nggi P and Li B 2012 Rev. Mod. Phys. 84 1045
[3] Terraneo M, Peyrard M and Casati G 2002 Phys. Rev. Lett. 88 094302
[4] Li B, Wang L and Casati G 2004 Phys. Rev. Lett. 93 184301
[5] Li B, Lan J H and Wang L 2005 Phys. Rev. Lett. 95 104302
[6] Hu B, Yang L and Zhang Y 2006 Phys. Rev. Lett. 97 124302
[7] Segal D and Nitzan A 2005 Phys. Rev. Lett. 94 034301
[8] Segal D 2008 Phys. Rev. Lett. 100 105901
[9] Wu L A and Segal D 2009 Phys. Rev. Lett. 102 095503
[10] Eckmann J P and Mejía-Monasterio C 2006 Phys. Rev. Lett. 97 094301
[11] Casati G, Mejía-Monasterio C and Prosen T 2007 Phys. Rev. Lett. 98 104302
[12] Chang C W, Okawa D, Majumdar A and Zettl A 2006 Science 314 1121
[13] Scheibner R, K?nig M, Reuter D, Wieck A D, Gould C, Buhmann H and Molenkamp L W 2008 New J. Phys. 10 083016
[14] Rego L G C and Kirczenow G 1998 Phys. Rev. Lett. 81 232
[15] Schwab K, Henriksen E A, Worlock J M and Roukes M L 2000 Nature 404 974
[16] Sun Q F, Yang P and Guo H 2002 Phys. Rev. Lett. 89 175901
[17] Chen K Q, Li W X, Duan W, Shuai Z and Gu B L 2005 Phys. Rev. B 72 045422
[18] Peng X F, Chen K Q, Wang Q, Zou B S and Duan W 2010 Phys. Rev. B 81 195317
[19] Segal D 2008 Phys. Rev. E 77 021103
[20] Segal D 2009 Phys. Rev. E 79 012103
[21] Pereira E and Lemos H C F 2008 Phys. Rev. E 78 031108
[22] Pereira E and Lemos H C F 2009 J. Phys. A 42 225006
[23] Hopkins P E and Serrano J R 2009 Phys. Rev. B 80 201408
[24] Jacquet P A 2009 J. Stat. Phys. 134 709
[25] Ming Y, Wang Z X, Li Q and Ding Z J 2007 Appl. Phys. Lett. 91 143508
[26] Ming Y, Wang Z X, Ding Z J and Li H M 2010 New J. Phys. 12 103041
[27] Zhang L, Wang J S and Li B 2010 Phys. Rev. B 81 100301(R)
[28] Pereira E 2010 Phys. Lett. A 374 1933
[29] Pereira E 2010 Phys. Rev. E 82 040101(R)
[30] Pereira E 2011 Phys. Rev. E 83 031106
[31] Pereira E, Santana L M and ávila R 2011 Phys. Rev. E 84 011116
[32] Pereira E, Lemos H C F and ávila R 2011 Phys. Rev. E 84 061135
[33] Bandyopadhyay M and Segal D 2011 Phys. Rev. E 84 011151
[34] Ouyang T, Chen Y, Xie Y, Wei X L, Yang K, Yang P and Zhong J 2010 Phys. Rev. B 82 245403
[35] Xie Z X, Li K M, Tang L M, Pan C N and Chen K Q 2012 Appl. Phys. Lett. 100 183110
[36] Zhang L, Wang J S and Li B 2009 New J. Phys. 11 113038
[37] Büttiker M 1986 Phys. Rev. B 33 3020
[38] Büttiker M 1988 IBM J. Res. Dev. 32 63
[39] Jordan A N and Büttiker M 2008 Phys. Rev. B 77 075334
[40] de Jong M J M and Beenakker C W J 1996 Physica A 230 219–248
[41] Blanter Y M and Büttiker M 2000 Phys. Rep. 336 1
[42] Texier C and Büttiker M 2000 Phys. Rev. B 62 7454
[43] Pilgram S, Samuelsson P, F?rster H and Büttiker M 2006 Phys. Rev. Lett. 97 066801
[44] F?rster H, Samuelsson P, Pilgram S and Büttiker M 2007 Phys. Rev. B 75 035340
[45] Roy D 2008 Phys. Rev. E 77 062102 |
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