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 |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033048 |
| _version_ | 1797211340738134016 |
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| author | Sosuke Ito Masafumi Oizumi Shun-ichi Amari |
| author_facet | Sosuke Ito Masafumi Oizumi Shun-ichi Amari |
| author_sort | Sosuke Ito |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T10:24:56Z |
| format | Article |
| id | doaj.art-79aef9c7acef4dc1bea6248759d293b7 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:56Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-79aef9c7acef4dc1bea6248759d293b72024-04-12T16:56:53ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303304810.1103/PhysRevResearch.2.033048Unified framework for the entropy production and the stochastic interaction based on information geometrySosuke ItoMasafumi OizumiShun-ichi AmariWe 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.http://doi.org/10.1103/PhysRevResearch.2.033048 |
| spellingShingle | Sosuke Ito Masafumi Oizumi Shun-ichi Amari Unified framework for the entropy production and the stochastic interaction based on information geometry Physical Review Research |
| title | Unified framework for the entropy production and the stochastic interaction based on information geometry |
| title_full | Unified framework for the entropy production and the stochastic interaction based on information geometry |
| title_fullStr | Unified framework for the entropy production and the stochastic interaction based on information geometry |
| title_full_unstemmed | Unified framework for the entropy production and the stochastic interaction based on information geometry |
| title_short | Unified framework for the entropy production and the stochastic interaction based on information geometry |
| title_sort | unified framework for the entropy production and the stochastic interaction based on information geometry |
| url | http://doi.org/10.1103/PhysRevResearch.2.033048 |
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