Proof of the finite-time thermodynamic uncertainty relation for steady-state currents
Proof of the finite-time thermodynamic uncertainty relation for steady-state currents
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DOI：
10.1103/physreve.96.020103
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发表时间：
2017-08-25
影响因子：
2.4
通讯作者：
Gingrich, Todd R.
中科院分区：
文献类型：
--
作者：
Horowitz, Jordan M.;Gingrich, Todd R.
热力学不确定性关系提供了一个普遍的能量约束的相对大小的电流波动在非平衡稳态。然而，它只是在长时间的观察中才得到的。在这里，我们证明了一个最近被证明的有限时间热力学不确定性关系的稳态电流波动。我们的证明是基于一个二次约束的大偏差率函数的电流在一个大的合奏许多副本的限制。
The thermodynamic uncertainty relation offers a universal energetic constraint on the relative magnitude of current fluctuations in nonequilibrium steady states. However, it has only been derived for long observation times. Here, we prove a recently conjectured finite-time thermodynamic uncertainty relation for steady-state current fluctuations. Our proof is based on a quadratic bound to the large deviation rate function for currents in the limit of a large ensemble of many copies.