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Resolution of the ellipsoid paradox in thermodynamics

机译:热力学中椭球悖论的解决

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We discuss a challenge to the second law of thermodynamics in an optical setting, in which two black bodies at strategically chosen points inside a perfectly reflecting cavity of appropriate shape apparently transfer energy asymmetrically so that one body experiences a net gain of energy at the other's expense. We show how the finite sizes of the black bodies lead to a resolution of the apparent paradox. We describe a simulation that allows us to follow the paths of individual rays and show numerically that the second law requirement of energy balance is satisfied. We also demonstrate that the energy balance condition is satisfied in the more general situation where the cavity and black bodies are of arbitrary shape.
机译:我们讨论了在光学环境中对热力学第二定律的挑战,其中两个黑体在适当形状的完美反射腔中的战略性选择点上明显地不对称地传递能量,从而使一个体以净能量的方式获得另一方的能量。我们展示了黑体的有限大小如何导致表观悖论的解决。我们描述了一个模拟,该模拟使我们能够遵循单个光线的路径,并通过数字显示满足能量平衡的第二定律要求。我们还证明,在空腔和黑体具有任意形状的更一般的情况下,满足了能量平衡条件。

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