Unified approach to power-efficiency trade-off relations of generic thermal machines
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911275613683712 |
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| author | Ma, Yu-Han Fu, Cong |
| author_facet | Ma, Yu-Han Fu, Cong |
| contents | We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines, refrigerators, and heat pumps). For time-dependent cycle irreversibility $A(τ)$ following a $τ^{-α}$ power law, where $α$ is an interaction-dependent parameter, we show that engineering the interactions between thermal machines and reservoirs enables control over the trade-off relations, with the efficiency at maximum power approaching Carnot efficiency as $α$ increases. Setting $α=1$ naturally recovers typical low-dissipation regime results. Additionally, we derive the first power-efficiency trade-off for finite-time quantum adiabatic Otto machines with $τ^{-2}$-scaling. This work establishes a unified constraint for thermodynamic cycles across non-equilibrium regimes, facilitating consistent optimization of diverse thermal devices in practice. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_03849 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unified approach to power-efficiency trade-off relations of generic thermal machines Ma, Yu-Han Fu, Cong Statistical Mechanics Applied Physics Classical Physics We present a general framework for determining the power-efficiency trade-off relations across arbitrary thermal machines, addressing the lack of unified optimization results stemming from their diverse functionalities (e.g., heat engines, refrigerators, and heat pumps). For time-dependent cycle irreversibility $A(τ)$ following a $τ^{-α}$ power law, where $α$ is an interaction-dependent parameter, we show that engineering the interactions between thermal machines and reservoirs enables control over the trade-off relations, with the efficiency at maximum power approaching Carnot efficiency as $α$ increases. Setting $α=1$ naturally recovers typical low-dissipation regime results. Additionally, we derive the first power-efficiency trade-off for finite-time quantum adiabatic Otto machines with $τ^{-2}$-scaling. This work establishes a unified constraint for thermodynamic cycles across non-equilibrium regimes, facilitating consistent optimization of diverse thermal devices in practice. |
| title | Unified approach to power-efficiency trade-off relations of generic thermal machines |
| topic | Statistical Mechanics Applied Physics Classical Physics |
| url | https://arxiv.org/abs/2411.03849 |