Timeliness criticality in complex systems
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arXiv
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866912261377884160 |
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| author | Moran, José Romeijnders, Matthijs Doussal, Pierre Le Pijpers, Frank P. Weitzel, Utz Panja, Debabrata Bouchaud, Jean-Philippe |
| author_facet | Moran, José Romeijnders, Matthijs Doussal, Pierre Le Pijpers, Frank P. Weitzel, Utz Panja, Debabrata Bouchaud, Jean-Philippe |
| contents | In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases, (universal) critical exponents, and related dynamical properties. Here we consider the functionality of systems, notably operations in socio-technical ones, production in economic ones and, more generally, any schedule-based system, where timing is of crucial importance. We introduce a stylized model of delay propagation on temporal networks, where the magnitude of delay-mitigating buffer acts as a control parameter. The model exhibits {\it timeliness criticality}, a novel form of critical behavior. We characterize fluctuations near criticality, commonly referred to as ``avalanches'', and identify the corresponding critical exponents. The model exhibits timeliness criticality also when run on real-world temporal systems such as production networks. Additionally, we explore potential connections with the Mode-Coupling Theory of glasses, the depinning transition and the directed polymer problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15070 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Timeliness criticality in complex systems Moran, José Romeijnders, Matthijs Doussal, Pierre Le Pijpers, Frank P. Weitzel, Utz Panja, Debabrata Bouchaud, Jean-Philippe Physics and Society Disordered Systems and Neural Networks Statistical Mechanics In complex systems, external parameters often determine the phase in which the system operates, i.e., its macroscopic behavior. For nearly a century, statistical physics has extensively studied systems' transitions across phases, (universal) critical exponents, and related dynamical properties. Here we consider the functionality of systems, notably operations in socio-technical ones, production in economic ones and, more generally, any schedule-based system, where timing is of crucial importance. We introduce a stylized model of delay propagation on temporal networks, where the magnitude of delay-mitigating buffer acts as a control parameter. The model exhibits {\it timeliness criticality}, a novel form of critical behavior. We characterize fluctuations near criticality, commonly referred to as ``avalanches'', and identify the corresponding critical exponents. The model exhibits timeliness criticality also when run on real-world temporal systems such as production networks. Additionally, we explore potential connections with the Mode-Coupling Theory of glasses, the depinning transition and the directed polymer problem. |
| title | Timeliness criticality in complex systems |
| topic | Physics and Society Disordered Systems and Neural Networks Statistical Mechanics |
| url | https://arxiv.org/abs/2309.15070 |