用Zubarev非平衡统计算子法讨论非平衡定态中的不可逆过程

本文是用Zubarev非平衡统计算子讨论处于非平衡定态的系统在受到力学拢动时的线性响应问题。仅限于讨论一级近似下的非平衡定态。主要结论是:证明了定态统计算子与定态哈密顿对易,从而证明了定态时间相关函数的稳恒性。导出了以定态为参考态的起伏耗散定理。证明了定态时间相关函数不存在时间反演对称性。根据定态时间相关函数时间反演对称性破缺,证明了对广义极化率的Onsager倒易关系不成立。根据因果律在定态得到满足,证明了对广义极化率的色散关系仍然成立。

Discussion On Irreversible Processes at Nonequlibrium Steady States in Zubarev''''s Nonequilibrium Statistical Operator Method

In this paper the problems of linear response of system at nonequilibrium steady state to mechanical perturbations are discussed in Zubarev's nonequilibrium statistical operator. For simplicity, only nonequilibrium steady state to the first approximation is examined. Main conclusions are as follows: Commutation property of the statistical operator and Hamiltonian of steady state has been proved, and the time stationarity of time correlation function of the steady state has also been proved. We have derived the fluctuation-dissipation theorem with reference to the nonequilibrium steady state. We have shown nonexistence of symmetry with respect to time reversal of the time correlation function of the steady state. We have shown that the breakdown of time reversal symmetry results in the invalidity of the Onsager reciproeity relations for the generalized susceptibility. Since the causality principle is satisfied in the nonequilibrium steady state, the dispersion relations for the generalized susceptibility still holds true, as proved in my paper.