Broken detailed balance and entropy production in directed networks Article Swipe
Ramón Nartallo-Kaluarachchi
,
Malbor Asllani
,
Gustavo Deco
,
Morten L. Kringelbach
,
Alain Goriely
,
Renaud Lambiotte
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.110.034313
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/physreve.110.034313
The structure of a complex network plays a crucial role in determining its dynamical properties. In this paper , we show that the the degree to which a network is directed and hierarchically organized is closely associated with the degree to which its dynamics break detailed balance and produce entropy. We consider a range of dynamical processes and show how different directed network features affect their entropy production rate. We begin with an analytical treatment of a two-node network followed by numerical simulations of synthetic networks using the preferential attachment and Erdös-Renyi algorithms. Next, we analyze a collection of 97 empirical networks to determine the effect of complex real-world topologies. Finally, we present a simple method for inferring broken detailed balance and directed network structure from multivariate time series and apply our method to identify non-equilibrium dynamics and hierarchical organisation in both human neuroimaging and financial time series. Overall, our results shed light on the consequences of directed network structure on non-equilibrium dynamics and highlight the importance and ubiquity of hierarchical organisation and non-equilibrium dynamics in real-world systems. Published by the American Physical Society 2024
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physreve.110.034313
- OA Status
- hybrid
- Cited By
- 13
- References
- 192
- Related Works
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- OpenAlex ID
- https://openalex.org/W4402890943
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Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4402890943Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physreve.110.034313Digital Object Identifier
- Title
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Broken detailed balance and entropy production in directed networksWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-09-26Full publication date if available
- Authors
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Ramón Nartallo-Kaluarachchi, Malbor Asllani, Gustavo Deco, Morten L. Kringelbach, Alain Goriely, Renaud LambiotteList of authors in order
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https://doi.org/10.1103/physreve.110.034313Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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hybridOpen access status per OpenAlex
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https://doi.org/10.1103/physreve.110.034313Direct OA link when available
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Entropy production, Production (economics), Balance (ability), Environmental science, Computer science, Statistical physics, Economics, Physics, Psychology, Microeconomics, NeuroscienceTop concepts (fields/topics) attached by OpenAlex
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13Total citation count in OpenAlex
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2025: 8, 2024: 5Per-year citation counts (last 5 years)
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192Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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