Transfer entropy in physical systems and the arrow of time.
Transfer entropy in physical systems and the arrow of time.
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DOI：
10.1103/physreve.94.022135
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发表时间：
2016-08
期刊：
影响因子：
--
通讯作者：
R. Spinney;J. Lizier;M. Prokopenko
中科院分区：
文献类型：
--
作者：
R. Spinney;J. Lizier;M. Prokopenko
最近的发展巩固了人们的认识，即热力学和信息论中的许多概念和量是相同的。在这篇文章中，我们考虑了信息论和复杂系统中一个高度相关的量--传递熵，并通过考虑时间反转对它的影响来探索它的热力学作用。通过这样做，我们通过将信息动力学中的时间不可逆性与热力学的构型(或空间)分辨率联系起来，突出了信息动力学在热力学中观察者视角的微妙问题上的作用。然后，我们强调它在可能是现代物理学中最持久的悖论中的作用，即时间(热力学)箭头的表现。我们发现，对于那些处理信息的系统，例如那些正在经历反馈的系统，可以通过同时考虑导致传统熵产生的表观物理行为和导致我们称为信息论时间箭的量的信息动力学来表示稳健的时间箭。我们还提供了对观察到的物理行为的最佳编码方面的解释。
Recent developments have cemented the realization that many concepts and quantities in thermodynamics and information theory are shared. In this paper, we consider a highly relevant quantity in information theory and complex systems, the transfer entropy, and explore its thermodynamic role by considering the implications of time reversal upon it. By doing so we highlight the role of information dynamics on the nuanced question of observer perspective within thermodynamics by relating the temporal irreversibility in the information dynamics to the configurational (or spatial) resolution of the thermodynamics. We then highlight its role in perhaps the most enduring paradox in modern physics, the manifestation of a (thermodynamic) arrow of time. We find that for systems that process information such as those undergoing feedback, a robust arrow of time can be formulated by considering both the apparent physical behavior which leads to conventional entropy production and the information dynamics which leads to a quantity we call the information theoretic arrow of time. We also offer an interpretation in terms of optimal encoding of observed physical behavior.