Unique superdiffusion induced by directionality in multiplex networks
The multilayer network framework has served to describe and uncover a number of novel and unforeseen physical behaviors and regimes in interacting complex systems. However, the majority of existing studies are built on undirected multilayer networks while most complex systems in nature exhibit direc...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/abdb71 |
| _version_ | 1797750180745838592 |
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| author | Xiangrong Wang Alejandro Tejedor Yi Wang Yamir Moreno |
| author_facet | Xiangrong Wang Alejandro Tejedor Yi Wang Yamir Moreno |
| author_sort | Xiangrong Wang |
| collection | DOAJ |
| description | The multilayer network framework has served to describe and uncover a number of novel and unforeseen physical behaviors and regimes in interacting complex systems. However, the majority of existing studies are built on undirected multilayer networks while most complex systems in nature exhibit directed interactions. Here, we propose a framework to analyze diffusive dynamics on multilayer networks consisting of at least one directed layer. We rigorously demonstrate that directionality in multilayer networks can fundamentally change the behavior of diffusive dynamics: from monotonic (in undirected systems) to non-monotonic diffusion with respect to the interlayer coupling strength. Moreover, for certain multilayer network configurations, the directionality can induce a unique superdiffusion regime for intermediate values of the interlayer coupling, wherein the diffusion is even faster than that corresponding to the theoretical limit for undirected systems, i.e. the diffusion in the integrated network obtained from the aggregation of each layer. We theoretically and numerically show that the existence of superdiffusion is fully determined by the directionality of each layer and the topological overlap between layers. We further provide a formulation of multilayer networks displaying superdiffusion. Our results highlight the significance of incorporating the interacting directionality in multilevel networked systems and provide a framework to analyze dynamical processes on interconnected complex systems with directionality. |
| first_indexed | 2024-03-12T16:29:58Z |
| format | Article |
| id | doaj.art-f03628c431214d1dbd5bc0a20aba86f0 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:29:58Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-f03628c431214d1dbd5bc0a20aba86f02023-08-08T15:34:16ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123101301610.1088/1367-2630/abdb71Unique superdiffusion induced by directionality in multiplex networksXiangrong Wang0https://orcid.org/0000-0002-0811-6097Alejandro Tejedor1https://orcid.org/0000-0002-3800-5304Yi Wang2Yamir Moreno3https://orcid.org/0000-0002-0895-1893Institute of Future Networks, Southern University of Science and Technology , Shenzhen, People’s Republic of China; Research Center of Networks and Communications, Peng Cheng Laboratory , Shenzhen, People’s Republic of ChinaDepartment of Science and Engineering, Sorbonne University Abu Dhabi , Abu Dhabi, United Arab Emirates; Department of Civil and Environmental Engineering, University of California Irvine , Irvine, CA, United States of AmericaInstitute of Future Networks, Southern University of Science and Technology , Shenzhen, People’s Republic of China; Research Center of Networks and Communications, Peng Cheng Laboratory , Shenzhen, People’s Republic of ChinaInstitute for Biocomputation and Physics of Complex Systems, University of Zaragoza , Zaragoza, Spain; Department of Theoretical Physics, University of Zaragoza , Zaragoza, Spain; ISI Foundation , Turin, ItalyThe multilayer network framework has served to describe and uncover a number of novel and unforeseen physical behaviors and regimes in interacting complex systems. However, the majority of existing studies are built on undirected multilayer networks while most complex systems in nature exhibit directed interactions. Here, we propose a framework to analyze diffusive dynamics on multilayer networks consisting of at least one directed layer. We rigorously demonstrate that directionality in multilayer networks can fundamentally change the behavior of diffusive dynamics: from monotonic (in undirected systems) to non-monotonic diffusion with respect to the interlayer coupling strength. Moreover, for certain multilayer network configurations, the directionality can induce a unique superdiffusion regime for intermediate values of the interlayer coupling, wherein the diffusion is even faster than that corresponding to the theoretical limit for undirected systems, i.e. the diffusion in the integrated network obtained from the aggregation of each layer. We theoretically and numerically show that the existence of superdiffusion is fully determined by the directionality of each layer and the topological overlap between layers. We further provide a formulation of multilayer networks displaying superdiffusion. Our results highlight the significance of incorporating the interacting directionality in multilevel networked systems and provide a framework to analyze dynamical processes on interconnected complex systems with directionality.https://doi.org/10.1088/1367-2630/abdb71networksmultiplexdirectionalitycomplex systemsspectral properties |
| spellingShingle | Xiangrong Wang Alejandro Tejedor Yi Wang Yamir Moreno Unique superdiffusion induced by directionality in multiplex networks New Journal of Physics networks multiplex directionality complex systems spectral properties |
| title | Unique superdiffusion induced by directionality in multiplex networks |
| title_full | Unique superdiffusion induced by directionality in multiplex networks |
| title_fullStr | Unique superdiffusion induced by directionality in multiplex networks |
| title_full_unstemmed | Unique superdiffusion induced by directionality in multiplex networks |
| title_short | Unique superdiffusion induced by directionality in multiplex networks |
| title_sort | unique superdiffusion induced by directionality in multiplex networks |
| topic | networks multiplex directionality complex systems spectral properties |
| url | https://doi.org/10.1088/1367-2630/abdb71 |
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