Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine
We take a stochastically driven single-level quantum dot embedded between two metallic leads at different temperatures works as a heat engine. We numerically study the optimized efficiency at two optimum operations, which lies between the maximum and minimum efficiency. The minimum efficiency either...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2789732 |
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| author | Yigermal Bassie Tibebe Birhanu Yoseph Abebe Mulugeta Bekele |
| author_facet | Yigermal Bassie Tibebe Birhanu Yoseph Abebe Mulugeta Bekele |
| author_sort | Yigermal Bassie |
| collection | DOAJ |
| description | We take a stochastically driven single-level quantum dot embedded between two metallic leads at different temperatures works as a heat engine. We numerically study the optimized efficiency at two optimum operations, which lies between the maximum and minimum efficiency. The minimum efficiency either takes the efficiency value at maximum power or the lowest possible value, zero. Using a unified criterion for energy converters, we find the optimum working condition for the heat engine. We study the optimized efficiency of a quantum dot heat engine according to the optimization criteria to find their corresponding optimized quantities in an external magnetic field (stochastic driving force). Accordingly, we found (1) efficiency-wise, optimized efficiency is better than efficiency at maximum power; (2) power-wise, the optimized power is smaller than its value at maximum power by 35%; and (3) period-wise, it performs the task in a cycle twice that of the period at maximum power. We study the overall performance of the heat engine by introducing a figure of merit that considers the contribution of each of the above quantities as a function of Carnot efficiency. Based on the proposed figure of merit, the model shows that the second optimization criteria are 3 times better than the first optimization criteria as a function of Carnot efficiency. |
| format | Article |
| id | doaj-art-8e9af9303ae0464a9e3b6fc4620c075a |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8e9af9303ae0464a9e3b6fc4620c075a2025-02-03T01:22:41ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2789732Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat EngineYigermal Bassie0Tibebe Birhanu1Yoseph Abebe2Mulugeta Bekele3Department of PhysicsDepartment of PhysicsDepartment of PhysicsDepartment of PhysicsWe take a stochastically driven single-level quantum dot embedded between two metallic leads at different temperatures works as a heat engine. We numerically study the optimized efficiency at two optimum operations, which lies between the maximum and minimum efficiency. The minimum efficiency either takes the efficiency value at maximum power or the lowest possible value, zero. Using a unified criterion for energy converters, we find the optimum working condition for the heat engine. We study the optimized efficiency of a quantum dot heat engine according to the optimization criteria to find their corresponding optimized quantities in an external magnetic field (stochastic driving force). Accordingly, we found (1) efficiency-wise, optimized efficiency is better than efficiency at maximum power; (2) power-wise, the optimized power is smaller than its value at maximum power by 35%; and (3) period-wise, it performs the task in a cycle twice that of the period at maximum power. We study the overall performance of the heat engine by introducing a figure of merit that considers the contribution of each of the above quantities as a function of Carnot efficiency. Based on the proposed figure of merit, the model shows that the second optimization criteria are 3 times better than the first optimization criteria as a function of Carnot efficiency.http://dx.doi.org/10.1155/2022/2789732 |
| spellingShingle | Yigermal Bassie Tibebe Birhanu Yoseph Abebe Mulugeta Bekele Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine Advances in Mathematical Physics |
| title | Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine |
| title_full | Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine |
| title_fullStr | Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine |
| title_full_unstemmed | Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine |
| title_short | Optimized Efficiency at Two Optimum Operations of a Stochastically Driven Quantum Dot Heat Engine |
| title_sort | optimized efficiency at two optimum operations of a stochastically driven quantum dot heat engine |
| url | http://dx.doi.org/10.1155/2022/2789732 |
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