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Heat Engines

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Book cover Non-equilibrium Energy Transformation Processes

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Abstract

The following work was published with minor modifications in [1, 2].

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Notes

  1. 1.

    In Sect.5.2 we show that if one considers also adiabatic branches, the reversible limit can be obtained [3].

  2. 2.

    The reversibility here refers to the individual branches. As pointed out in Sect.5.1.1, the abrupt change in temperature, when switching between the branches, implies that there exists no reversible limit for the complete cycle.

  3. 3.

    Note that due to the choice of the Glauber rates in Eq. 5.1, the relaxation rate \([\lambda _\mathrm{U}(t) + \lambda _\mathrm{D}(t)]\) (for frozen energy levels at any time instant \(t\)) is bounded by 2\(\nu \).

  4. 4.

    Only \(\delta \)-functions are referred to as singularities here.

  5. 5.

    It turns out that for general parameters \(g_{\pm }\) the Green’s function (5.32) is given by a sum of Gauss hypergeometric functions [26] and the integral Eq. (2.81) becomes quite complicated.

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  1. Faculty of Mathematics and Physics, Charles University in Prague, Prague, Czech Republic

    Viktor Holubec

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Holubec, V. (2014). Heat Engines. In: Non-equilibrium Energy Transformation Processes. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-07091-9_5

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