Self-Replication of Turbulent Puffs: On the edge between chaotic saddles
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912533914320896 |
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| author | Svirsky, Anton Grafke, Tobias Frishman, Anna |
| author_facet | Svirsky, Anton Grafke, Tobias Frishman, Anna |
| contents | Pipe flow is a canonical example where turbulence first appears intermittently in space and time, taking the form of localized structures termed puffs. Turbulence spreads via puff self-replication, which must out-compete puff decays to sustain it. Here we study the self-replication process, a transition from one to two puffs, using direct numerical simulations. We identify an edge state on the phase space boundary between the two states, demonstrate that it mediates the transition, and show that self-replication follows a previously proposed mechanism, with the edge state as its tipping point. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_05075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-Replication of Turbulent Puffs: On the edge between chaotic saddles Svirsky, Anton Grafke, Tobias Frishman, Anna Fluid Dynamics Chaotic Dynamics Pipe flow is a canonical example where turbulence first appears intermittently in space and time, taking the form of localized structures termed puffs. Turbulence spreads via puff self-replication, which must out-compete puff decays to sustain it. Here we study the self-replication process, a transition from one to two puffs, using direct numerical simulations. We identify an edge state on the phase space boundary between the two states, demonstrate that it mediates the transition, and show that self-replication follows a previously proposed mechanism, with the edge state as its tipping point. |
| title | Self-Replication of Turbulent Puffs: On the edge between chaotic saddles |
| topic | Fluid Dynamics Chaotic Dynamics |
| url | https://arxiv.org/abs/2505.05075 |