论文标题
离散时间马尔可夫进程的熵生产
Entropy Production for Discrete-Time Markov Processes
论文作者
论文摘要
我们研究了单个系统和复合系统中离散时间马尔可夫过程的熵产生的多个定义。这些定义已在单个系统中研究，但在复合系统中却较少。有了明确的区别，我们回顾了等效条件和多个定义的含义，并表明所有定义都满足熵产生的重要属性，例如非负性。我们还表明，总的熵产生与边缘熵产生之间的不平等适用于一个定义，但不适合其他定义。此外，我们通过计算高斯过程的熵生产来验证这一事实，并显示结果。最后，我们发现每个定义都可以考虑所有结果。
We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear distinction, we review the equivalence condition and the meaning of the multiple definitions and show that all definitions satisfy the important property for the entropy production, such as non-negativity. We also show that the inequalities between total entropy production and marginal entropy production holds for a definition but doesn't for another definition. Furthermore, we verify that fact by calculating entropy productions for Gaussian process and numerically show the result. Finally, we find appropriate use of each definition taking all results into account.
