Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
Power and efficiency of heat engines are two conflicting objectives, and a tight efficiency bound is expected to give insights on the fundamental properties of the power-efficiency tradeoff. Here we derive an upper bound on the efficiency of steady-state heat engines, which incorporates higher-order...
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11-03-2021
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| Abstract | Power and efficiency of heat engines are two conflicting objectives, and a
tight efficiency bound is expected to give insights on the fundamental
properties of the power-efficiency tradeoff. Here we derive an upper bound on
the efficiency of steady-state heat engines, which incorporates higher-order
fluctuations of the power. In a prototypical model of nonlinear nanostructured
thermoelectrics, we show that the obtained bound is tighter than a
well-established efficiency bound based on the thermodynamic uncertainty
relation, demonstrating that the higher-order terms have rich information about
the thermodynamic efficiency in the nonlinear regime. In particular, we find
that the higher-order bound is exactly achieved if the tight coupling condition
is satisfied. The obtained bound gives a consistent prediction with the
observation that nonlinearity enhances the power-efficiency tradeoff, and would
also be useful for various nanoscale engines. |
|---|---|
| AbstractList | Power and efficiency of heat engines are two conflicting objectives, and a
tight efficiency bound is expected to give insights on the fundamental
properties of the power-efficiency tradeoff. Here we derive an upper bound on
the efficiency of steady-state heat engines, which incorporates higher-order
fluctuations of the power. In a prototypical model of nonlinear nanostructured
thermoelectrics, we show that the obtained bound is tighter than a
well-established efficiency bound based on the thermodynamic uncertainty
relation, demonstrating that the higher-order terms have rich information about
the thermodynamic efficiency in the nonlinear regime. In particular, we find
that the higher-order bound is exactly achieved if the tight coupling condition
is satisfied. The obtained bound gives a consistent prediction with the
observation that nonlinearity enhances the power-efficiency tradeoff, and would
also be useful for various nanoscale engines. |
| Author | Ashida, Yuto Sagawa, Takahiro Otsubo, Shun Kamijima, Takuya |
| Author_xml | – sequence: 1 givenname: Takuya surname: Kamijima fullname: Kamijima, Takuya – sequence: 2 givenname: Shun surname: Otsubo fullname: Otsubo, Shun – sequence: 3 givenname: Yuto surname: Ashida fullname: Ashida, Yuto – sequence: 4 givenname: Takahiro surname: Sagawa fullname: Sagawa, Takahiro |
| BackLink | https://doi.org/10.48550/arXiv.2103.06554$$DView paper in arXiv https://doi.org/10.1103/PhysRevE.104.044115$$DView published paper (Access to full text may be restricted) |
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| Snippet | Power and efficiency of heat engines are two conflicting objectives, and a
tight efficiency bound is expected to give insights on the fundamental
properties of... |
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| SubjectTerms | Physics - Mesoscale and Nanoscale Physics Physics - Statistical Mechanics |
| Title | Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics |
| URI | https://arxiv.org/abs/2103.06554 |
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