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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.25798 |
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| _version_ | 1866917444215373824 |
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| author | Meibohm, Jan Monter, Samuel Loos, Sarah A. M. Bechinger, Clemens |
| author_facet | Meibohm, Jan Monter, Samuel Loos, Sarah A. M. Bechinger, Clemens |
| contents | We theoretically and experimentally study finite-time optimal control of a colloidal particle steered through a spatially inhomogeneous environment, modeled by a position-dependent energetic cost at the final state. The competition between this state-dependent penalty and path-dependent dissipation gives rise to a sharp transition in the control strategy at a critical control duration. We further show that this transition can be linked to a dynamical phase transition in nonequilibrium relaxation after a quench, where the control cost maps onto the rate function governing rare trajectories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25798 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite-time transitions in optimal control and non-equilibrium relaxation Meibohm, Jan Monter, Samuel Loos, Sarah A. M. Bechinger, Clemens Statistical Mechanics We theoretically and experimentally study finite-time optimal control of a colloidal particle steered through a spatially inhomogeneous environment, modeled by a position-dependent energetic cost at the final state. The competition between this state-dependent penalty and path-dependent dissipation gives rise to a sharp transition in the control strategy at a critical control duration. We further show that this transition can be linked to a dynamical phase transition in nonequilibrium relaxation after a quench, where the control cost maps onto the rate function governing rare trajectories. |
| title | Finite-time transitions in optimal control and non-equilibrium relaxation |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2604.25798 |