Non-Fourier Heat Conduction of Single-Walled Carbon Nanotubes
Non-Fourier Heat Conduction of Single-Walled Carbon Nanotubes
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发表时间：
2005-07
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通讯作者：
J. Shiomi;S. Maruyama
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作者：
J. Shiomi;S. Maruyama
其中热作为波传导，其振幅随着有效弛豫时间τ衰减。这里，α是热扩散率。当t >> τ时，该方程与基于Fourier定律的扩散方程具有相同的渐近解，因此，系统的时间/长度尺度越小，两个解之间的差异越明显。随着纳米技术的新时代为纳米尺度物理学带来了光明，在过去的几十年里，人们重新审视了经典的热浪问题[2][3-5]。在超脉冲激光器产生飞秒或皮科热脉冲的情况下，热输运的有限弛豫时间会对整个物理过程产生重大影响。虽然有一些研究试图通过分子动力学直接观察晶体中的这种热波[3]，但由于多维系统中相干激发能量的弛豫时间通常非常短，因此迄今为止还没有清晰的可视化。在这份报告中，我们研究了单壁碳纳米管（SWNT）作为候选人，以验证上述性质的非傅立叶热传导。
where heat is conducted as a wave whose amplitude decays with an effective relaxation time τ. Here, α is the thermal diffusivity. The equation has the same asymptotic solution as the diffusion equation based on Fourier’s law when t >> τ, hence the smaller time/length scale of the system is, the more the difference between two solutions becomes evident. As the new era of nanotechnology shed light to nanoscale physics, the classical problem of heat waves [2] has been revisited in last decades [3-5]. In the situations where femto or pico second heat pulse is generated by ultra pulse lasers, the finite relaxation time of the heat transport can have a significant impact on the overall physics. Although, there have been a few studies that attempted direct observations of such heat waves in crystals by means of molecular dynamics [3], due to the usually very short relaxation time of coherently excited energy in multi-dimensional systems, a clear visualization is not available to this date. In this report, we investigate a single walled carbon nanotube (SWNT) as a candidate to posses above stated properties of non-Fourier heat conduction.