Dynamic response of a thermal transistor to time-varying signals

doi:10.1088/1674-1056/ad2dcc

Abstract Thermal transistor, the thermal analog of an electronic transistor, is one of the most important thermal devices for microscopic-scale heat manipulating. It is a three-terminal device, and the heat current flowing through two terminals can be largely controlled by the temperature of the third one. Dynamic response plays an important role in the application of electric devices and also thermal devices, which represents the devices' ability to treat fast varying inputs. In this paper, we systematically study two typical dynamic responses of a thermal transistor, i.e., the response to a step-function input (a switching process) and the response to a square-wave input. The role of the length $L$ of the control segment is carefully studied. It is revealed that when $L$ is increased, the performance of the thermal transistor worsens badly. Both the relaxation time for the former process and the cutoff frequency for the latter one follow the power-law dependence on $L$ quite well, which agrees with our analytical expectation. However, the detailed power exponents deviate from the expected values noticeably. This implies the violation of the conventional assumptions that we adopt.

Keywords: phonon phononics thermal transistor dynamic response heat conduction

Received: 12 January 2024
Revised: 07 February 2024
Accepted manuscript online:

PACS:	63.22.-m	(Phonons or vibrational states in low-dimensional structures and nanoscale materials)
	63.20.-e	(Phonons in crystal lattices)
	44.10.+i	(Heat conduction)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12075316), the Fundamental Research Funds for the Central Universities, and the Research Funds of Renmin University of China (Grant No. 21XNH091) (Q.R.).

Corresponding Authors: Lei Wang,E-mail:phywanglei@ruc.edu.cn
E-mail: phywanglei@ruc.edu.cn

Cite this article:

Qinli Ruan(阮琴丽), Wenjun Liu(刘文君), and Lei Wang(王雷) Dynamic response of a thermal transistor to time-varying signals 2024 Chin. Phys. B 33 056301

[1] Li N, Ren J, Wang L, Zhang G, Hänggi P and Li B 2012 Rev. Mod. Phys. 84 1045
[2] Terraneo M, Peyrard M and Casati G 2002 Phys. Rev. Lett. 88 094302
[3] Li B, Wang L and Casati G 2006 Appl. Phys. Lett. 88 143501
[4] Wang L and Li B 2007 Phys. Rev. Lett. 99 177208
[5] Wang L and Li B 2008 Phys. Rev. Lett. 101 267203
[6] Ben-Abdallah P and Biehs S A 2014 Phys. Rev. Lett. 112 044301
[7] Defaveri L, Almeida A A A and Anteneodo C 2023 Phys. Rev. E 108 044126
[8] Dmitriev S V, Kuzkin V A and Krivtsov A M 2023 Phys. Rev. E 108 054221
[9] Ren J and Zhu J X 2013 Phys. Rev. B 87 241412
[10] Joulain K, Drevillon J, Ezzahri Y and Ordonez-Miranda J 2016 Phys. Rev. Lett. 116 200601
[11] Guo B Q, Liu T and Yu C S 2018 Phys. Rev. E 98 022118
[12] Guo B Q, Liu T and Yu C S 2019 Phys. Rev. E 99 032112
[13] Liu H, Wang C, Wang L Q and Ren J 2019 Phys. Rev. E 99 032114
[14] Fornieri A, Timossi G, Bosisio R, Solinas P and Giazotto F 2016 Phys. Rev. B 93 134508
[15] Khomeriki R, Lepri S and Ruffo S 2004 Phys. Rev. E 70 066626
[16] Ng R C, Castro Alvarez A and Sotomayor Torres C M 2022 Energies 15 4685
[17] Castelli L, Zhu Q, Shimokusu T J and Wehmeyer G 2023 Nat. Commun. 14 393
[18] Xie R, Bui C T, Varghese B, Zhang Q, Sow C H, Li B and Thong J T L 2011 Adv. Funct. Mater. 21 1602
[19] Dyakov S A, Dai J, Yan M and Qiu M 2015 J. Phys. D 48 305104
[20] Ito K, Nishikawa K and Iizuka H 2016 Appl. Phys. Lett. 108 053507
[21] Morsy A M, Biswas R and Povinelli M L 2019 APL Photonics 4 010804
[22] Christov C I and Jordan P M 2005 Phys. Rev. Lett. 94 154301
[23] Gendelman O V and Savin A V 2010 Phys. Rev. E 81 020103
[24] Wang L, Liu S and Li B 2019 New J. Phys. 21 083019
[25] Esposito M, Harbola U and Mukamel S 2009 Rev. Mod. Phys. 81 1665
[26] Jarzynski C and Wójcik D K 2004 Phys. Rev. Lett. 92 230602
[27] Saito K and Dhar A 2007 Phys. Rev. Lett. 99 180601
[28] Ren J, Hänggi P and Li B 2010 Phys. Rev. Lett. 104 170601
[29] Geniet F and Leon J 2002 Phys. Rev. Lett. 89 134102
[30] Li N, Hänggi P and Li B 2008 Europhys. Lett. 84 40009
[31] Ordonez-Miranda J, Anufriev R, Nomura M and Volz S 2022 Phys. Rev. B 106 L100102
[32] Wang S, Zeng C, Zhu G, Wang H and Li B 2023 Phys. Rev. Res. 5 043009
[33] Zhan F, Li N, Kohler S and Hänggi P 2009 Phys. Rev. E 80 061115
[34] Li N, Zhan F, Hänggi P and Li B 2009 Phys. Rev. E 80 011125
[35] Ren J and Li B 2010 Phys. Rev. E 81 021111
[36] Wang L and Wu J 2014 Phys. Rev. E 89 012119
[37] He D, Ai B Q, Chan H K and Hu B 2010 Phys. Rev. E 81 041131
[38] Zhong W R, Zhang M P, Ai B Q and Hu B 2011 Phys. Rev. E 84 031130
[39] Yang Y, Ma D, Zhao Y and Zhang L 2020 J. Appl. Phys. 127 195301
[40] Yang Y, Li X and Zhang L 2021 Chin. Phys. Lett. 38 016601
[41] Braun O M and Kivshar Y S 1998 Phys. Rep. 306 1
[42] Hu B, Li B and Zhao H 1998 Phys. Rev. E 57 2992
[43] Ruan Q and Wang L 2020 Phys. Rev. Res. 2 023087
[44] Lepri S, Livi R and Politi A 2003 Phys. Rep. 377 1
[45] Dhar A 2008 Adv. Phys. 57 457
[46] Dhar A, Kundu A and Kundu A 2019 Front. Phys. 7 159

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Dynamic response of a thermal transistor to time-varying signals

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