论文标题

相对熵的热力学

Thermodynamics from relative entropy

论文作者

Floerchinger, Stefan, Haas, Tobias

论文摘要

热力学通常是从熵和最大熵原理开始的。我们在这里调查在多大程度上可以用具有多个优点的相对熵取代熵,例如在局部量子场理论的背景下。我们发现,最大熵的原理可以用最小预期相对熵的原理代替。可以通过相对熵来定义各种合奏及其热力学潜力。我们还表明,热波动实际上受相对熵的控制。此外,我们仅使用相对熵重新制定热力学的第三定律。

Thermodynamics is usually developed starting from entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example in the context of local quantum field theory. We find that the principle of maximum entropy can be replaced by a principle of minimum expected relative entropy. Various ensembles and their thermodynamic potentials can be defined through relative entropy. We also show that thermal fluctuations are in fact governed by a relative entropy. Furthermore we reformulate the third law of thermodynamics using relative entropy only.

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