非平衡统计力学中随机波动方程模型的持续能流
Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics
摘要：
本文考虑一维偏微分方程组对圆环周围热流的模拟。该系统包括一个Klein-Gordon波动方程满足空间周期性边界条件的字段，以及Ornstein-Uhlenbeck随机微分方程与有限秩耗散和随机驱动项建模热浴。戒指周围有能量流。在具有不同（固定）浴温度的线性场的情况下，即使当与浴的相互作用被关闭时，能量流也可以持续。给出了一个简单的例子。
英文摘要：
We consider a one-dimensional partial differential equation system modeling heat flow around a ring. The system includes a Klein-Gordon wave equation for a field satisfying spatial periodic boundary conditions, as well as Ornstein-Uhlenbeck stochastic differential equations with finite rank dissipation and stochastic driving terms modeling heat baths. There is an energy flow around the ring. In the case of a linear field with different (fixed) bath temperatures, the energy flow can persist even when the interaction with the baths is turned off. A simple example is given.
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