Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2407.02545 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866914857278767104 |
|---|---|
| author | Gutiérrez, Manuel Santos Chekroun, Mickaël D. |
| author_facet | Gutiérrez, Manuel Santos Chekroun, Mickaël D. |
| contents | Systems far from equilibrium approach stability slowly due to "anti-mixing" characterized by regions of the phase-space that remain disconnected after prolonged action of the flow. We introduce the Optimal Growth Mode (OGM) to capture this slow initial relaxation. The OGM is calculated from Markov matrices approximating the action of the Fokker-Planck operator onto the phase space. It is obtained as the mode having the largest growth in energy before decay. Important nuances between the OGM and the more traditional slowest decaying mode are detailed in the case of the Lorenz 63 model. The implications for understanding how complex systems respond to external forces, are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02545 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Optimal Growth Mode in the Relaxation to Statistical Equilibrium Gutiérrez, Manuel Santos Chekroun, Mickaël D. Statistical Mechanics Chaotic Dynamics Systems far from equilibrium approach stability slowly due to "anti-mixing" characterized by regions of the phase-space that remain disconnected after prolonged action of the flow. We introduce the Optimal Growth Mode (OGM) to capture this slow initial relaxation. The OGM is calculated from Markov matrices approximating the action of the Fokker-Planck operator onto the phase space. It is obtained as the mode having the largest growth in energy before decay. Important nuances between the OGM and the more traditional slowest decaying mode are detailed in the case of the Lorenz 63 model. The implications for understanding how complex systems respond to external forces, are discussed. |
| title | The Optimal Growth Mode in the Relaxation to Statistical Equilibrium |
| topic | Statistical Mechanics Chaotic Dynamics |
| url | https://arxiv.org/abs/2407.02545 |