两次测量协议节能全统计
Full statistics of energy conservation in two times measurement protocols
摘要:
热力学热力学第一定律指出,不同储层之间的平均总能量流在很长时间内为零。在本说明中,我们将在两次测量协议的完全统计量(也称为完全计数统计量)的水平上研究这一事实。在非常一般的条件下,我们建立了一个紧密的形式的第一定律断言,从能量变化分布计算的总能量电流的波动是指数抑制在大的时间限制。我们用两个例子来说明这个一般性的结果:安德森杂质模型和二维自旋晶格模型。
英文摘要:
The first law of thermodynamics states that the average total energy current between different reservoirs vanishes at large times. In this note we examine this fact at the level of the full statistics of two times measurement protocols also known as the Full Counting Statistics. Under very general conditions, we establish a tight form of the first law asserting that the fluctuations of the total energy current computed from the energy variation distribution are exponentially suppressed in the large time limit. We illustrate this general result using two examples: the Anderson impurity model and a 2D spin lattice model.
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