Unified framework for the entropy production and the stochastic interaction based on information geometry
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 prod...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033048 |
| Summary: | 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. |
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| ISSN: | 2643-1564 |