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Internal geometric friction in a Kitaev-chain heat engine

机译：内部几何摩擦在Kitaev链式热力发动机中

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摘要

We investigate a heat engine with a finite-length Kitaev chain in an ideal Otto cycle. It is found that the critical point of the topological phase transition coincides with the maxima of the efficiency and work output of the total Otto engine. Finite-size effects are taken into account using the method of Hill's nanothermodynamics, as well as using the method of temperature-dependent energy levels. We identify the bulk and boundary thermal cycles of the Kitaev chain engine and find that they are nonideal Otto cycles. The physics of deviation from ideal Otto cycle is identified as a finite-size effect, which we dub as "internal geometric friction," leading to heat transfer from the bulk to the boundary during the adiabatic transformation of the whole system. In addition, we determine the regimes allowing for independently running an ideal Otto refrigerator at the boundary and ideal Otto engines in the bulk and in the whole system. Furthermore, we show that the first-order phase transition in the boundary and the second-order phase transition in the bulk can be identified through their respective contributions to the engine work output.
机译：我们在理想的otto循环中调查具有有限长度的Kitaev链的热力发动机。结果发现，拓扑相转变的临界点与总奥托发动机的效率和工作输出的最大值一致。使用Hill纳米热动力学方法考虑有限尺寸的效果，以及使用温度依赖能量水平的方法。我们识别Kitaev Chain发动机的散装和边界热周期，并发现它们是非积极的奥托周期。从理想奥托循环的偏离物理学被识别为有限尺寸的效果，我们将其作为“内部几何摩擦”，导致在整个系统的绝热转换期间从大部分到边界的热传递。此外，我们确定制度允许在散装和整个系统中独立地在边界和理想的奥托发动机处独立运行理想的奥托冰箱。此外，我们表明，可以通过它们对发动机工作输出的各自贡献来识别群体中的边界中的一阶相转变和批量中的二阶相转变。

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  • 来源
    《Physical review》 |2020年第15期|155423.1-155423.16|共16页
  • 作者

    Elif Yunt; Mojde Fadaie; Oezguer E. Muestecaplioglu; Cristiane Morais Smith;

  • 作者单位

    Department of Physics University of Malta Msida MSD 2080 Malta Department of Physics Koc University 34450 Sariyer Istanbul Turkey;

    Department of Physics Universite de Montreal 1375 Avenue Therese-Lavoie-Roux Montreal Canada Department of Physics Koc University 34450 Sariyer Istanbul Turkey;

    Department of Physics Koc University 34450 Sariyer Istanbul Turkey;

    Institute for Theoretical Physics Utrecht University Princetonplein 5 3584 CC Utrecht The Netherlands;

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