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
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
摘要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.
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.
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2011, Vol. 28 
