Chin. Phys. Lett.  2011, Vol. 28 Issue (12): 124401    DOI: 10.1088/0256-307X/28/12/124401
FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
Thermal Rectification in Graded Nonlinear Transmission Lines
XU Wen1, CHEN Wei-Zhong1**, TAO Feng1,2
1Key Laboratory of Modern Acoustics (Ministry of Education) and Institution of Acoustics, Nanjing University, Nanjing 210093
2School of Electrical Engineering and Information, Anhui University of Technology, Ma'anshan 243002
Cite this article:   
XU Wen, CHEN Wei-Zhong, TAO Feng 2011 Chin. Phys. Lett. 28 124401
Download: PDF(500KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract We consider heat conduction in a nonlinear inductance-capacitance (LC) transmission line with an inductance gradient by adding white-noise signals. It is found that the heat flux in the direction of inductance decrease is larger than that in the direction of inductance increase. When the low-inductance end is at higher temperature, the phonon density decreases due to conversion to high-frequency phonons, which can not move to the high-inductance end due to its lower cutoff frequency. However, when the high-inductance end is at higher temperature, the loss of phonon density can be compensated for because some high-frequency phonons can move to the low-inductance end dur to its higher cutoff frequency. This leads to the asymmetry of energy transfer. Discussion shows that this asymmetry exists in a particular range of temperatures, and increases with the increase of the difference between heat baths and the inductance gradient.
Keywords: 44.10.+i      05.60.-k     
Received: 13 July 2011      Published: 29 November 2011
PACS:  44.10.+i (Heat conduction)  
  05.60.-k (Transport processes)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/28/12/124401       OR      https://cpl.iphy.ac.cn/Y2011/V28/I12/124401
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
XU Wen
CHEN Wei-Zhong
TAO Feng
[1] Terraneo M, Peyrard M and Casati G 2002 Phys. Rev. Lett. 88 094302
[2] Li B et al 2005 Phys. Rev. Lett. 95 104302
[3] Yang N et al 2007 Phys. Rev. B 76 020301
[4] Chang C W et al 2006 Science 314 1121
[5] Tse Ve Koon K, Leon J, Marquie P and Tchofo-Dinda P 2007 Phys. Rev. E 75 066604
[6] Xu W, Chen W Z, Tao F and Pan J T 2011 J. Phys. Soc. Jpn. 80 074601
[7] Hu T, Hu K and Tang Y 2010 Physica B 21 4407
[8] Li H B, Nie Q M and Xin X T 2009 Chin. Phys. Lett. 26 074401
[9] Lepri S, Livi R and Politi A 2003 Phys. Rep. 377 1
[10] Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes (Cambridge: Cambridge University Press)
[11] Singer A C and Oppenheim A V 1999 Int. J. Birfurcation Chaos 9 571
[12] Zeng N and Wang J S 2008 Phys. Rev. B 78 024305
Related articles from Frontiers Journals
[1] LIU Jing,FENG Shi-Wei**,ZHANG Guang-Chen,ZHU Hui,GUO Chun-Sheng,QIAO Yan-Bin,LI Jing-Wan. A Novel Method for Measuring the Temperature in the Active Region of Semiconductor Modules[J]. Chin. Phys. Lett., 2012, 29(4): 124401
[2] GE Hong-Xia, WU Shu-Zhen, CHENG Rong-Jun, LO Siu-ming** . Theoretical Analysis of a Modified Continuum Model[J]. Chin. Phys. Lett., 2011, 28(9): 124401
[3] T. Hayat, **, S. Hina, Awatif A. Hendi . Peristaltic Motion of Power-Law Fluid with Heat and Mass Transfer[J]. Chin. Phys. Lett., 2011, 28(8): 124401
[4] CHEN Liang**, ZHANG Wan-Rong, XIE Hong-Yun, JIN Dong-Yue, DING Chun-Bao, FU Qiang, WANG Ren-Qing, XIAO Ying, ZHAO Xin . Restabilizing Mechanisms after the Onset of Thermal Instability in Bipolar Transistors[J]. Chin. Phys. Lett., 2011, 28(7): 124401
[5] LIU Qing-Nian, MENG Song-He, JIANG Chi-Ping, SONG Fan. Critical Biot's number for Determination of the Sensitivity of Spherical Ceramics to Thermal Shock[J]. Chin. Phys. Lett., 2010, 27(8): 124401
[6] GONG Yue-Feng, SONG Zhi-Tang, LING Yun, LIU Yan, LI Yi-Jin, FENG Song-Lin. Three-Dimensional Finite Element Simulations for the Thermal Characteristics of PCRAMs with Different Buffer Layer Materials[J]. Chin. Phys. Lett., 2010, 27(8): 124401
[7] XIN Xiao-Feng, CHEN Cheng, WANG Bo-Fu, MA Dong-Jun, SUN De-Jun. Local Heating Effect of Flow Past a Circular Cylinder[J]. Chin. Phys. Lett., 2010, 27(4): 124401
[8] CHEN Zhao-Jiang, ZHANG Shu-Yi. Thermal Depth Profiling Reconstruction by Multilayer Thermal Quadrupole Modeling and Particle Swarm Optimization[J]. Chin. Phys. Lett., 2010, 27(2): 124401
[9] LI Hai-Bin, NIE Qing-Miao, XIN Xiao-Tian. Asymmetric Heat Conduction in One-Dimensional Hard-Point Model with Mass Gradient[J]. Chin. Phys. Lett., 2009, 26(7): 124401
[10] GONG Yue-Feng, SONG Zhi-Tang, LING Yun, LIU Yan, FENG Song-Lin. Simulation of SET Operation in Phase-Change Random Access Memories with Heater Addition and Ring-Type Contactor for Low-Power Consumption by Finite Element Modeling[J]. Chin. Phys. Lett., 2009, 26(11): 124401
[11] LI Yu-Hua, QU Wei, FENG Jian-Chao. Temperature Dependence of Thermal Conductivity of Nanofluids[J]. Chin. Phys. Lett., 2008, 25(9): 124401
[12] ZHANG Xing, TAKAHASHI Koji, FUJII Motoo. Charge and Heat Transport in Polycrystalline Metallic Nanostructures[J]. Chin. Phys. Lett., 2008, 25(9): 124401
[13] GONG Yue-Feng, LING Yun, SONG Zhi-Tang, FENG Song-Lin. Simulation of Phase-Change Random Access Memory with Ring-Type Contactor for Low Reset Current by Finite Element Modelling[J]. Chin. Phys. Lett., 2008, 25(9): 124401
[14] WANG Xin-Jun, LIU Jing-Feng, LI Shui. Low-Temperature Thermal Conductance in Superlattice Nanowire with Structural Defect[J]. Chin. Phys. Lett., 2008, 25(6): 124401
[15] XU Xue-You, ZHANG Yan-Hui, LI Hong-Yun, GAO Song, LIN Sheng-Lu. Semiclassical Calculation of Conductance Transmission through an Open Equilateral Triangular Billiards[J]. Chin. Phys. Lett., 2008, 25(5): 124401
Viewed
Full text


Abstract