梯度质量谐波系统中的温度梯度与傅里叶定律。
Temperature gradient and Fourier's law in gradient-mass harmonic systems.
作者信息
Reich K V
机构信息
Ioffe Physical-Technical Institute, 194021 St. Petersburg, Russia.
出版信息
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 May;87(5):052109. doi: 10.1103/PhysRevE.87.052109. Epub 2013 May 8.
PMID:23767489
Abstract
The heat flow and thermal profile in a one-dimensional (1D) harmonic lattice with coordinate-dependent masses have been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in standard Langevin conditions of contact, a temperature gradient can form, and Fourier's law can be obeyed.
摘要
在热力学极限下，已经计算了具有坐标依赖质量的一维（1D）简谐晶格中的热流和热分布。在质量线性增加的一维简谐晶格的特定例子中表明，在标准的接触朗之万条件下，可以形成温度梯度，并且可以遵守傅里叶定律。
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