IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v547y2020ics0378437119321429.html
   My bibliography  Save this article

Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model

Author

Listed:
  • Yin, Yong
  • Chen, Lingen
  • Wu, Feng
  • Ge, Yanlin

Abstract

The heat engine with entangled quantum system as working medium is called quantum entanglement heat engine A model of an endoreversible entangled quantum Stirling engine with heat transfer loss in which a one dimensional isotropic Heisenberg model is used as working medium is established in this paper. The thermodynamic performance of the endoreversible entangled quantum Stirling engine is studied by using the combination of quantum thermodynamics and finite time thermodynamics. Explicit expressions of dimensionless work output and thermal efficiency of the endoreversible entangled quantum Stirling engine are derived. Two linearly independent concurrences c1 and c3 are considered as a measure of entanglement of a two-qubits state. They are employed to study the influence of entanglement on the performance of the endoreversible entangled quantum Stirling engine. It is found that both the dimensionless work output and thermal efficiency are dependent on c1 and c3. Scince c1 and c3 are functions of temperature (T) and magnetic-field (B), it is possible to apply quantum control on the work output of the endoreversible entangled quantum Stirling engine by adjusting the values of T and B. There exists an optimal concurrence c1 which leads to a maximum work output W∗. While W∗ increases with increase of c3. The thermal efficiency η is a monotonically increasing function of c1 and c3. The maximum dimensionless work outputs corresponding to c3=0.7, c3=0.725 and c3=0.75 are 0.16255, 0.18965 and 0.21764, respectively. The corresponding thermal efficiencies are 0.3482, 0.37804 and 0.40637, respectively.

Suggested Citation

  • Yin, Yong & Chen, Lingen & Wu, Feng & Ge, Yanlin, 2020. "Work output and thermal efficiency of an endoreversible entangled quantum Stirling engine with one dimensional isotropic Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    • Handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321429
    DOI: 10.1016/j.physa.2019.123856
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119321429
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.123856?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Dalkıran, Alper & Açıkkalp, Emin & Caner, Necmettin, 2016. "Analysis of a quantum irreversible Otto cycle with exergetic sustainable index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 316-326.
    2. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining of the optimum performance of a nano scale irreversible Dual cycle with quantum gases as working fluid by using different methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 247-258.
    3. Ahmadi, Mohammad H. & Amin Nabakhteh, Mohammad & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah & Bidi, Mokhtar, 2017. "Investigation and optimization of performance of nano-scale Stirling refrigerator using working fluid as Maxwell–Boltzmann gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 337-350.
    4. Qin, Xiaoyong & Chen, Lingen & Ge, Yanlin & Sun, Fengrui, 2015. "Thermodynamic modeling and performance analysis of the variable-temperature heat reservoir absorption heat pump cycle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 788-797.
    5. Ding, Ze-Min & Chen, Lin-Gen & Wang, Wen-Hua & Ge, Yan-Lin & Sun, Feng-Rui, 2015. "Exploring the operation of a microscopic energy selective electron engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 431(C), pages 94-108.
    6. Ahmadi, Mohammad H. & Jokar, Mohammad Ali & Ming, Tingzhen & Feidt, Michel & Pourfayaz, Fathollah & Astaraei, Fatemeh Razi, 2018. "Multi-objective performance optimization of irreversible molten carbonate fuel cell–Braysson heat engine and thermodynamic analysis with ecological objective approach," Energy, Elsevier, vol. 144(C), pages 707-722.
    7. Chen, Lingen & Liu, Xiaowei & Wu, Feng & Xia, Shaojun & Feng, Huijun, 2020. "Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    8. Lin, Bihong & Zhang, Yue & Chen, Jincan, 2006. "Influence of quantum degeneracy and regeneration on the performance of Bose-Stirling refrigeration-cycles operated in different temperature regions," Applied Energy, Elsevier, vol. 83(5), pages 513-535, May.
    9. Chen, Lingen & Zhang, Lei & Xia, Shaojun & Sun, Fengrui, 2018. "Entropy generation minimization for CO2 hydrogenation to light olefins," Energy, Elsevier, vol. 147(C), pages 187-196.
    10. Nie, Wenjie & He, Jizhou & Du, Jianqiang, 2009. "Performance characteristic of a Stirling refrigeration cycle in micro/nano scale," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 318-324.
    11. Ding, Ze-Min & Chen, Lin-Gen & Ge, Yan-Lin & Sun, Feng-Rui, 2016. "Performance optimization of total momentum filtering double-resonance energy selective electron heat pump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 49-61.
    12. He, Jizhou & Chen, Jincan & Hua, Ben, 2002. "Influence of quantum degeneracy on the performance of a Stirling refrigerator working with an ideal Fermi gas," Applied Energy, Elsevier, vol. 72(3-4), pages 541-554, July.
    13. Zhang, Lei & Chen, Lingen & Sun, Fengrui, 2016. "Power optimization of chemically driven heat engine based on first and second order reaction kinetic theory and probability theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 221-230.
    14. Ahmadi, Mohammad H. & Ahmadi, Mohammad-Ali & Maleki, Akbar & Pourfayaz, Fathollah & Bidi, Mokhtar & Açıkkalp, Emin, 2017. "Exergetic sustainability evaluation and multi-objective optimization of performance of an irreversible nanoscale Stirling refrigeration cycle operating with Maxwell–Boltzmann gas," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 80-92.
    15. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining performance of an irreversible nano scale dual cycle operating with Maxwell–Boltzmann gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 342-349.
    16. He, Xian & He, Jizhou & Zheng, Jie, 2012. "Thermal entangled quantum heat engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6594-6600.
    17. Chen, Lingen & Liu, Xiaowei & Ge, Yanlin & Wu, Feng & Feng, Huijun & Xia, Shaojun, 2020. "Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    18. Salamon, P. & Nulton, J.D. & Siragusa, G. & Andersen, T.R. & Limon, A., 2001. "Principles of control thermodynamics," Energy, Elsevier, vol. 26(3), pages 307-319.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chen, Lingen & Liu, Xiaowei & Ge, Yanlin & Wu, Feng & Feng, Huijun & Xia, Shaojun, 2020. "Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    2. Valencia-Ortega, G. & Levario-Medina, S. & Barranco-Jiménez, M.A., 2021. "Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum k-efficient power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    3. Ares de Parga-Regalado, A.M. & Valencia-Ortega, G. & Barranco-Jiménez, M.A., 2023. "Thermo-economic optimization of irreversible Novikov power plant models including a proposal of dissipation cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    4. Qi, Congzheng & Chen, Lingen & Ge, Yanlin & Feng, Huijun, 2023. "Three-heat-reservoir thermal Brownian heat transformer and its performance limits," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 622(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Chen, Lingen & Liu, Xiaowei & Wu, Feng & Xia, Shaojun & Feng, Huijun, 2020. "Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    2. Ahmadi, Mohammad H. & Ahmadi, Mohammad-Ali & Maleki, Akbar & Pourfayaz, Fathollah & Bidi, Mokhtar & Açıkkalp, Emin, 2017. "Exergetic sustainability evaluation and multi-objective optimization of performance of an irreversible nanoscale Stirling refrigeration cycle operating with Maxwell–Boltzmann gas," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 80-92.
    3. Chen, Lingen & Liu, Xiaowei & Ge, Yanlin & Wu, Feng & Feng, Huijun & Xia, Shaojun, 2020. "Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 550(C).
    4. Zhou, Junle & Chen, Lingen & Ding, Zemin & Sun, Fengrui, 2016. "Analysis and optimization with ecological objective function of irreversible single resonance energy selective electron heat engines," Energy, Elsevier, vol. 111(C), pages 306-312.
    5. Zhang, Lei & Chen, Lingen & Sun, Fengrui, 2016. "Power optimization of chemically driven heat engine based on first and second order reaction kinetic theory and probability theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 221-230.
    6. Ahmadi, Mohammad H. & Amin Nabakhteh, Mohammad & Ahmadi, Mohammad-Ali & Pourfayaz, Fathollah & Bidi, Mokhtar, 2017. "Investigation and optimization of performance of nano-scale Stirling refrigerator using working fluid as Maxwell–Boltzmann gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 337-350.
    7. Nie, Wenjie & Lü, Ke & Chen, Aixi & He, Jizhou & Lan, Yueheng, 2018. "Performance optimization of single and two-stage micro/nano-scaled heat pumps with internal and external irreversibilities," Applied Energy, Elsevier, vol. 232(C), pages 695-703.
    8. Valencia-Ortega, G. & Levario-Medina, S. & Barranco-Jiménez, M.A., 2021. "Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum k-efficient power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    9. Yu, Youhong & Ding, Zemin & Chen, Lingen & Wang, Wenhua & Sun, Fengrui, 2016. "Power and efficiency optimization for an energy selective electron heat engine with double-resonance energy filter," Energy, Elsevier, vol. 107(C), pages 287-294.
    10. Dalkıran, Alper & Açıkkalp, Emin & Caner, Necmettin, 2016. "Analysis of a quantum irreversible Otto cycle with exergetic sustainable index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 316-326.
    11. Ding, Ze-Min & Chen, Lin-Gen & Ge, Yan-Lin & Sun, Feng-Rui, 2016. "Performance optimization of total momentum filtering double-resonance energy selective electron heat pump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 49-61.
    12. Chen, Lingen & Zhang, Lei & Xia, Shaojun & Sun, Fengrui, 2018. "Entropy generation minimization for CO2 hydrogenation to light olefins," Energy, Elsevier, vol. 147(C), pages 187-196.
    13. Guo, Juncheng & Zhang, Xiuqin & Su, Guozhen & Chen, Jincan, 2012. "The performance analysis of a micro-/nanoscaled quantum heat engine," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6432-6439.
    14. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining of the optimum performance of a nano scale irreversible Dual cycle with quantum gases as working fluid by using different methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 433(C), pages 247-258.
    15. Qin, Xiaoyong & Chen, Lingen & Ge, Yanlin & Sun, Fengrui, 2015. "Thermodynamic modeling and performance analysis of the variable-temperature heat reservoir absorption heat pump cycle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 788-797.
    16. Ares de Parga-Regalado, A.M. & Valencia-Ortega, G. & Barranco-Jiménez, M.A., 2023. "Thermo-economic optimization of irreversible Novikov power plant models including a proposal of dissipation cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 613(C).
    17. Lingen Chen & Chenqi Tang & Huijun Feng & Yanlin Ge, 2020. "Power, Efficiency, Power Density and Ecological Function Optimization for an Irreversible Modified Closed Variable-Temperature Reservoir Regenerative Brayton Cycle with One Isothermal Heating Process," Energies, MDPI, vol. 13(19), pages 1-23, October.
    18. Açıkkalp, Emin & Caner, Necmettin, 2015. "Determining performance of an irreversible nano scale dual cycle operating with Maxwell–Boltzmann gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 342-349.
    19. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A. & Angulo-Brown, F., 2023. "A comparative thermodynamic and thermoeconomic analysis between two ecological regimes for the Novikov energy converter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    20. Ares de Parga-Regalado, A.M. & Ramírez-Moreno, M.A., 2022. "On the analysis of an ecological regime for energy converters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 605(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:547:y:2020:i:c:s0378437119321429. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.