Wasserstein speed limits for Langevin systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866929486906261504 |
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| author | Sabbagh, Ralph Miangolarra, Olga Movilla Georgiou, Tryphon T. |
| author_facet | Sabbagh, Ralph Miangolarra, Olga Movilla Georgiou, Tryphon T. |
| contents | Physical systems transition between states with finite speed that is limited by energetic costs. In this work, we derive bounds on transition times for general Langevin systems that admit a decomposition into reversible and irreversible dynamics, in terms of the Wasserstein distance between states and the energetic costs associated with respective reversible and irreversible currents. For illustration we discuss Brownian particles subject to arbitrary forcing and an RLC circuit with time-varying inductor. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07788 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Wasserstein speed limits for Langevin systems Sabbagh, Ralph Miangolarra, Olga Movilla Georgiou, Tryphon T. Mathematical Physics Systems and Control Optimization and Control 82C31, 82M60, 82Cxx, 80M60, 93E03 Physical systems transition between states with finite speed that is limited by energetic costs. In this work, we derive bounds on transition times for general Langevin systems that admit a decomposition into reversible and irreversible dynamics, in terms of the Wasserstein distance between states and the energetic costs associated with respective reversible and irreversible currents. For illustration we discuss Brownian particles subject to arbitrary forcing and an RLC circuit with time-varying inductor. |
| title | Wasserstein speed limits for Langevin systems |
| topic | Mathematical Physics Systems and Control Optimization and Control 82C31, 82M60, 82Cxx, 80M60, 93E03 |
| url | https://arxiv.org/abs/2312.07788 |