Probabilistic work extraction on a classical oscillator beyond the second law
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929463626825728 |
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| author | Barros, Nicolas Ciliberto, Sergio Bellon, Ludovic |
| author_facet | Barros, Nicolas Ciliberto, Sergio Bellon, Ludovic |
| contents | We demonstrate experimentally that, applying optimal protocols which drive the system between two equilibrium states characterized by a free energy difference $ΔF$, we can maximize the probability of performing the transition between the two states with a work $W$ smaller than $ΔF$. The second law holds only on average, resulting in the inequality $\langle W \rangle \geq ΔF$. The experiment is performed using an underdamped oscillator evolving in a double-well potential. We show that with a suitable choice of parameters the probability of obtaining trajectories with $W \le ΔF$ can be larger than 95%. Very fast protocols are a key feature to obtain these results, which are explained in terms of the Jarzynski equality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18556 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Probabilistic work extraction on a classical oscillator beyond the second law Barros, Nicolas Ciliberto, Sergio Bellon, Ludovic Statistical Mechanics We demonstrate experimentally that, applying optimal protocols which drive the system between two equilibrium states characterized by a free energy difference $ΔF$, we can maximize the probability of performing the transition between the two states with a work $W$ smaller than $ΔF$. The second law holds only on average, resulting in the inequality $\langle W \rangle \geq ΔF$. The experiment is performed using an underdamped oscillator evolving in a double-well potential. We show that with a suitable choice of parameters the probability of obtaining trajectories with $W \le ΔF$ can be larger than 95%. Very fast protocols are a key feature to obtain these results, which are explained in terms of the Jarzynski equality. |
| title | Probabilistic work extraction on a classical oscillator beyond the second law |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2402.18556 |