论文标题
通过第一小说过程估算熵的生产率
Estimating Entropy Production Rates with First-Passage Processes
论文作者
论文摘要
我们考虑了通过与单个电流相关的第一分量的测量值估算非平衡过程中平均熵产量的问题。对于具有较大阈值的第一阶段过程，参考。 [1，2]鉴定出了第一音阶可观测值的比例 - 涉及平均第一通道时间，分裂概率和第一通道阈值 - 降低了熵产生速率，并且是将熵产生速率的无偏估计器应用于与稳定熵产生成比例的电流时。在这里，我们还表明，在有限阈值中，对非平衡过程的有限实现，对于与随机熵产生不成比例的电流，第一阶段比率可以准确估计耗散速率。特别是，第一票量比捕获了远离热平衡的制度中总熵产量的有限分数，而热力学不确定性比捕获了总熵生产率的一小部分。此外，我们表明，第一学期比率在耗散率的估计值中纳入了非Markmarkovian统计数据，这很难基于Kullback-Leibler Diverencence估算。综上所述，我们表明，基于热力学不确定性比和kullback-leibler差异，具有第一键比的熵产生估计是互补的。
We consider the problem of estimating the mean entropy production rate in a nonequilibrium process from the measurements of first-passage quantities associated with a single current. For first-passage processes with large thresholds, Refs. [1, 2] identified a ratio of first-passage observables - involving the mean first-passage time, the splitting probability, and the first-passage thresholds - that lower bounds the entropy production rate and is an unbiased estimator of the entropy production rate when applied to a current that is proportional to the stochastic entropy production. Here, we show that also at finite thresholds, a finite number of realisations of the nonequilibrium process, and for currents that are not proportional to the stochastic entropy production, first-passage ratios can accurately estimate the rate of dissipation. In particular, first-passage ratios capture a finite fraction of the total entropy production rate in regimes far from thermal equilibrium where thermodynamic uncertainty ratios capture a negligible fraction of the total entropy production rate. Moreover, we show that first-passage ratios incorporate nonMarkovian statistics in the estimated value of the dissipation rate, which are difficult to include in estimates based on Kullback-Leibler divergences. Taken together, we show that entropy production estimation with first-passage ratios is complementary to estimation methods based on thermodynamic uncertainty ratios and Kullback-Leibler divergences.
