论文标题
关于工作转化为热量：微观模型和宏观方程
On the Conversion of Work into Heat: Microscopic Models and Macroscopic Equations
论文作者
论文摘要
我们总结并延长了最近获得的一些结果，该结果是针对固定的谐波链的显微镜和宏观行为，并在Poissonian时代具有随机的速度翻转，由定期力（在一端}}并与另一端的热浴接触。在这里，我们考虑系统在不同温度下与两个热浴接触的情况，并在任何位置施加周期性的力。这将流体力学极限带到温度剖面的热方程，并在力作用的位置处有不连续的斜率。还考虑了较高维度的系统，未添加的案例和非谐互动。
We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact with a heat bath at the other end. Here we consider the case where the system is in contact with two heat baths at different temperatures and a periodic force is applied at any position. This leads in the hydrodynamic limit to a heat equation for the temperature profile with a discontinuous slope at the position where the force acts. Higher dimensional systems, unpinned cases and anharmonic interactions are also considered.
