论文标题
在立即加热的半无限端胡克链中，不稳定的热传输
Unsteady thermal transport in an instantly heated semi-infinite free end Hooke chain
论文作者
论文摘要
我们考虑在自由端和任意初始温度剖面的半无限胡克链中不稳定的弹道热传输。在离散（精确）和连续性（近似）配方中都提出了动力学温度演化的分析描述。通过比较动力学温度场的离散和连续描述，我们揭示了对后者的一些限制。具体而言，连续溶液很好地描述了远场动力学温度，但是，该溶液偏离（边界）附近和自由端的偏差。我们分析表明，在热波反射从边界反映后，动力学温度的离散解会在自由端附近跳跃。提出了对半无限和无限胡克链中热传播的描述的比较。预计目前的论文的结果将在半无限晶格中洞悉非平稳热传输。
We consider unsteady ballistic heat transport in a semi-infinite Hooke chain with free end and arbitrary initial temperature profile. An analytical description of the evolution of the kinetic temperature is proposed in both discrete (exact) and continuum (approximate) formulations. By comparison of the discrete and continuum descriptions of kinetic temperature field, we reveal some restrictions to the latter. Specifically, the far-field kinetic temperature is well described by the continuum solution, which, however, deviates near and at the free end (boundary). We show analytically that, after thermal wave reflects from the boundary, the discrete solution for the kinetic temperature undergoes a jump near the free end. A comparison of the descriptions of heat propagation in the semi-infinite and infinite Hooke chains is presented. Results of the current paper are expected to provide insight into non-stationary heat transport in the semi-infinite lattices.
