The foundation of the nonequilibrium statistical mechanics on the basis of dynamics was formulated by Bogoliubov in his seminal works. In this report we use his ideas of reduced description to analyze thoroughly the time evolution of open systems in the context of nonequilibrium statistical operator method. In particular, we consider the notion of entropy which is a central physical concept. The thermodynamic entropy, information entropy, entropy of nonequilibrium states and entropy production were discussed tightly in this context. The corresponding procedure of averaging (smoothing) and the notion of irreversibility were discussed as well.

中文翻译：

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开放式非平衡系统的时间演化与不可逆性

Bogoliubov在他的开创性著作中奠定了基于动力学的非平衡统计力学的基础。在本报告中，我们使用他的简化描述思想在非平衡统计算子方法的背景下彻底分析了开放系统的时间演化。特别地，我们考虑熵的概念，这是一个中心物理概念。在此背景下，对热力学熵，信息熵，非平衡态的熵和熵产生进行了严格的讨论。还讨论了平均（平滑）的相应过程和不可逆性的概念。