Unified framework for the entropy production and the stochastic interaction based on information geometry
Unified framework for the entropy production and the stochastic interaction based on information geometry
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DOI：
10.1103/physrevresearch.2.033048
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发表时间：
2020-07-09
影响因子：
4.2
通讯作者：
Amari, Shun-ichi
中科院分区：
文献类型：
--
作者：
Ito, Sosuke;Oizumi, Masafumi;Amari, Shun-ichi
我们展示了随机热力学中的熵产生与集成信息理论中的随机相互作用之间的关系。为了阐明这种关系，我们引入了总系统的熵产生和子系统的部分熵产生的信息几何解释。我们证明了熵产生的可加性的违背与随机相互作用有关。该框架是集成信息论的热力学基础。我们还表明，我们的信息几何形式导致了与最小化Kullback-Leibler散度的优化问题相关的熵产生的表达式。我们用自旋模型分析地说明了这种解释。
We show a relation between the entropy production in stochastic thermodynamics and the stochastic interaction in the integrated information theory. To clarify this relation, we introduce an information-geometric interpretation of the entropy production for a total system and the partial entropy productions for subsystems. We show that the violation of the additivity of the entropy productions is related to the stochastic interaction. This framework is a thermodynamic foundation of the integrated information theory. We also show that our information-geometric formalism leads to an expression of the entropy production related to an optimization problem minimizing the Kullback-Leibler divergence. We analytically illustrate this interpretation by using the spin model.