从单向功测量改进自由能估算：理论和实验
Improving free-energy estimates from unidirectional work measurements: theory and experiment
摘要：
我们推导出解析表达式的偏见Jarzynski自由能估计N非平衡工作测量，为一个通用的工作分布。为了实现这一点，我们将估计量映射到随机能量模型中，以（log N）/m为参数的适当缩放限制，其中m测量工作分布的下尾宽度，然后使用不同的方法计算对该限制的有限N校正（log N）/m。我们表明，这些表达式准确地描述了广泛的一类工作分布的偏差，并利用它们建立一个改进的自由能估计单向工作测量。我们应用该方法的光镊展开/折叠实验上的DNA发夹的不同的循环大小和耗散，显示近高斯和非高斯的工作分布。
英文摘要：
We derive analytical expressions for the bias of the Jarzynski free-energy estimator from N nonequilibrium work measurements, for a generic work distribution. To achieve this, we map the estimator onto the Random Energy Model in a suitable scaling limit parametrized by (log N)/m, where m measures the width of the lower tail of the work distribution, and then compute the finite-N corrections to this limit with different approaches for different regimes of (log N)/m. We show that these expressions describe accurately the bias for a wide class of work distributions, and exploit them to build an improved free-energy estimator from unidirectional work measurements. We apply the method to optical tweezers unfolding/refolding experiments on DNA hairpins of varying loop size and dissipation, displaying both near-Gaussian and non-Gaussian work distributions.
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