Measuring thermodynamic length
Measuring thermodynamic length
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DOI：
10.1103/physrevlett.99.100602
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发表时间：
2007-09-07
影响因子：
8.6
通讯作者：
Crooks, Gavin E.
中科院分区：
文献类型：
--
作者：
Crooks, Gavin E.
热力学长度是平衡热力学状态之间的公制距离。在其他有趣的性质中，这个度规渐近地限制了由热力学系统的有限时间变换引起的耗散。它还与Jensen-Shannon散度、Fisher信息和Rao熵微分度量有关。因此，热力学长度是理解非平衡物质的中心问题。在这封信中，我们将考虑如何定义由平衡统计力学描述的小系统的热力学长度，以及如何在计算机模拟中测量热力学长度。令人惊讶的是，班尼特用来测量自由能差的经典接受比方法也测量了热力学长度。
Thermodynamic length is a metric distance between equilibrium thermodynamic states. Among other interesting properties, this metric asymptotically bounds the dissipation induced by a finite time transformation of a thermodynamic system. It is also connected to the Jensen-Shannon divergence, Fisher information, and Rao's entropy differential metric. Therefore, thermodynamic length is of central interest in understanding matter out of equilibrium. In this Letter, we will consider how to define thermodynamic length for a small system described by equilibrium statistical mechanics and how to measure thermodynamic length within a computer simulation. Surprisingly, Bennett's classic acceptance ratio method for measuring free energy differences also measures thermodynamic length.