Emergent lifetime distribution from complex network systems aging
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910521922420736 |
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| author | Liu, Yimeng Sui, Shaobo Lu, Dan Peng, Rui Bai, Mingyang Li, Daqing |
| author_facet | Liu, Yimeng Sui, Shaobo Lu, Dan Peng, Rui Bai, Mingyang Li, Daqing |
| contents | Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We find three types of system lifetime distributions emerged from competence between system size N and failure coupling strength $ϕ$. System lifetime distribution can be describe by modified Weibull model, which degenerates into Gompertz model when N dominates and exponential distribution when $ϕ$ dominates. We derive asymptotic lifetime distribution. Specially, we derive a fundamental equation of thermodynamics for failure-coupled systems. Our study will help design highly reliable systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07393 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Emergent lifetime distribution from complex network systems aging Liu, Yimeng Sui, Shaobo Lu, Dan Peng, Rui Bai, Mingyang Li, Daqing Physics and Society Statistical Mechanics Most theoretical analysis for lifetime distribution explains origins of specific distribution based on independent failure. We develop a unified framework encompassing different lifetime distribution for failure-coupled network systems. We find three types of system lifetime distributions emerged from competence between system size N and failure coupling strength $ϕ$. System lifetime distribution can be describe by modified Weibull model, which degenerates into Gompertz model when N dominates and exponential distribution when $ϕ$ dominates. We derive asymptotic lifetime distribution. Specially, we derive a fundamental equation of thermodynamics for failure-coupled systems. Our study will help design highly reliable systems. |
| title | Emergent lifetime distribution from complex network systems aging |
| topic | Physics and Society Statistical Mechanics |
| url | https://arxiv.org/abs/2311.07393 |