Broken detailed balance and entropy production in directed networks
The structure of a complex network plays a crucial role in determining its dynamical properties. In this work, we show that the network is . We consider a range of dynamical processes and show how different directed network features . Finally, we present a simple method for inferring broken detailed...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
American Physical Society
2024
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| _version_ | 1811141126515589120 |
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| author | Nartallo-Kaluarachchi, R Asllani, M Deco, G Kringelbach, M Goriely, A |
| author_facet | Nartallo-Kaluarachchi, R Asllani, M Deco, G Kringelbach, M Goriely, A |
| author_sort | Nartallo-Kaluarachchi, R |
| collection | OXFORD |
| description | The structure of a complex network plays a crucial role in determining its dynamical properties. In this work, we show that the network is . We consider a range of dynamical processes and show how different directed network features . 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 and the importance and ubiquity of hierarchical organisation and non-equilibrium dynamics in real-world systems. |
| first_indexed | 2024-09-25T04:32:55Z |
| format | Journal article |
| id | oxford-uuid:153c2e01-06f7-41dc-acc0-3cdc6bc4438e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:32:55Z |
| publishDate | 2024 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:153c2e01-06f7-41dc-acc0-3cdc6bc4438e2024-09-10T14:48:40ZBroken detailed balance and entropy production in directed networksJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:153c2e01-06f7-41dc-acc0-3cdc6bc4438eEnglishSymplectic ElementsAmerican Physical Society2024Nartallo-Kaluarachchi, RAsllani, MDeco, GKringelbach, MGoriely, AThe structure of a complex network plays a crucial role in determining its dynamical properties. In this work, we show that the network is . We consider a range of dynamical processes and show how different directed network features . 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 and the importance and ubiquity of hierarchical organisation and non-equilibrium dynamics in real-world systems. |
| spellingShingle | Nartallo-Kaluarachchi, R Asllani, M Deco, G Kringelbach, M Goriely, A Broken detailed balance and entropy production in directed networks |
| title | Broken detailed balance and entropy production in directed networks |
| title_full | Broken detailed balance and entropy production in directed networks |
| title_fullStr | Broken detailed balance and entropy production in directed networks |
| title_full_unstemmed | Broken detailed balance and entropy production in directed networks |
| title_short | Broken detailed balance and entropy production in directed networks |
| title_sort | broken detailed balance and entropy production in directed networks |
| work_keys_str_mv | AT nartallokaluarachchir brokendetailedbalanceandentropyproductionindirectednetworks AT asllanim brokendetailedbalanceandentropyproductionindirectednetworks AT decog brokendetailedbalanceandentropyproductionindirectednetworks AT kringelbachm brokendetailedbalanceandentropyproductionindirectednetworks AT gorielya brokendetailedbalanceandentropyproductionindirectednetworks |