论文标题
在定期强迫的恒温链中的热流动
Heat flow in a periodically forced, thermostatted chain
论文作者
论文摘要
我们研究了一端与热浴接触的谐波链的性质，并在另一端受到周期性的作用。颗粒还会发生随机的速度反转作用，从而导致系统的有限热电导率。我们证明了系统对时间周期状态的方法，并计算热电流，等于在该状态下在系统上完成的时间平均工作。随着链的长度的增加，这项工作接近有限的正值。重新缩放空间，强度和/或力周期导致宏观温度曲线，对应于具有Dirichlet-Neumann边界条件的连续热方程的固定溶液。
We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat conductivity of the system. We prove the approach of the system to a time periodic state and compute the heat current, equal to the time averaged work done on the system, in that state. This work approaches a finite positive value as the length of the chain increases. Rescaling space, the strength and/or the period of the force leads to a macroscopic temperature profile corresponding to the stationary solution of a continuum heat equation with Dirichlet-Neumann boundary conditions.
