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Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space

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Abstract.

Two testable schemes for quantum heat engines are investigated under the quantization framework of noncommutative (NC) quantum mechanics (QM). By identifying the phenomenological connection between the phase-space NC driving parameters and an effective external magnetic field, the NC effects on the efficiency coefficient, \(\mathcal{N}\), of quantum engines can be quantified for two different cycles: an isomagnetic one and an isoenergetic one. In addition, paying a special attention to the quantum Carnot cycle, one notices that the inclusion of NC effects does not affect the maximal (Carnot) efficiency, \(\mathcal{N}^{C}\), ratifying the robustness of the second law of thermodynamics.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal de São Carlos, PO Box 676, 13565-905, São Carlos, SP, Brazil

    Jonas F. G. Santos & Alex E. Bernardini

Authors
  1. Jonas F. G. Santos
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  2. Alex E. Bernardini
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Correspondence to Jonas F. G. Santos.

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Santos, J.F.G., Bernardini, A.E. Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space. Eur. Phys. J. Plus 132, 260 (2017). https://doi.org/10.1140/epjp/i2017-11538-1

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