标题： 线性朗之万系统的熵产生 显示英文标题

标题： Entropy production in linear Langevin systems

摘要： 我们研究由包含时间反演下混合偶变量和奇变量的线性朗之万方程描述的系统的熵产生率。 仅根据相关随机变量的均值和协方差，推导出几个重要量的精确公式。 这些包括熵的总变化率、熵产生率、熵通量率以及熵产生的三个分量。 所有方程都以适合对线性朗之万系统进行大规模分析的方式表达。 我们的结果还应用于不同类型的电路，这些电路适当展示了问题中最相关的方面。 显示英文摘要

摘要： We study the entropy production rate in systems described by linear Langevin equations, containing mixed even and odd variables under time reversal. Exact formulas are derived for several important quantities in terms only of the means and covariances of the random variables in question. These include the total rate of change of the entropy, the entropy production rate, the entropy flux rate and the three components of the entropy production. All equations are cast in a way suitable for large-scale analysis of linear Langevin systems. Our results are also applied to different types of electrical circuits, which suitably illustrate the most relevant aspects of the problem.