论文标题
Jarzyski的平等和骗子的波动定理，用于将其应用于决策系统的马尔可夫链条
Jarzyski's equality and Crooks' fluctuation theorem for general Markov chains with application to decision-making systems
论文作者
论文摘要
我们纯粹在马尔可夫连锁店的框架内定义了常见的热力学概念，并在此设置中得出了Jarzynski的平等和骗子的波动定理。特别是，我们认为在骗子波动定理的通常表述中出现的工作定义中导致不对称性的离散时间案例。我们展示了如何使用有关能量方案的其他条件来避免这种不对称性。马尔可夫连锁店的一般配方允许将结果转移到物理以外的其他应用领域。在这里，我们讨论如何在决策背景下应用此框架。这涉及相关数量的定义，对于要持有的不同波动定理需要做出的假设，以及对离散轨迹而不是连续轨迹的考虑，这些轨迹与物理相关。
We define common thermodynamic concepts purely within the framework of general Markov chains and derive Jarzynski's equality and Crooks' fluctuation theorem in this setup. In particular, we regard the discrete time case that leads to an asymmetry in the definition of work that appears in the usual formulation of Crooks' fluctuation theorem. We show how this asymmetry can be avoided with an additional condition regarding the energy protocol. The general formulation in terms of Markov chains allows transferring the results to other application areas outside of physics. Here, we discuss how this framework can be applied in the context of decision-making. This involves the definition of the relevant quantities, the assumptions that need to be made for the different fluctuation theorems to hold, as well as the consideration of discrete trajectories instead of the continuous trajectories, which are relevant in physics.
