由闭包方程导出的傅里叶定律
Fourier's Law from Closure Equations
摘要:
我们给出了一个严格的推导傅立叶定律的封闭方程系统的非平衡定态的哈密顿系统的耦合振荡器进行热浴的边界上。局部热通量与温度梯度成正比,热导率随温度变化,稳态温度呈非线性分布。
英文摘要:
We give a rigorous derivation of Fourier's law from a system of closure equations for a nonequilibrium stationary state of a Hamiltonian system of coupled oscillators subjected to heat baths on the boundary. The local heat flux is proportional to the temperature gradient with a temperature dependent heat conductivity and the stationary temperature exhibits a nonlinear profile.
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