论文标题

带巴罗熵的热力学第二定律

The generalized second law of thermodynamics with Barrow entropy

论文作者

Saridakis, Emmanuel N., Basilakos, Spyros

论文摘要

我们研究了热力学第二定律的有效性,并在地平线熵上应用手推车熵。前者源于以下事实:黑洞表面可能由于量子重新效应而变形,该效应由新指数$δ$量化。我们计算充满物质和暗能流体的宇宙中的熵时间变化,以及表观范围的相应数量。我们表明,尽管在$δ= 0 $的情况下,这与通常的熵相对应,但明显的地平线和地平线本身的熵所包含的熵的总和始终是时间的不稳定函数,因此,热力学的一般性第二定律因此,在载波的情况下,在barrow的情况下,这是不再是真实的,并且在一般的二级法中均可依靠,依赖于热态的。因此,为了不违规,标准的Bekenstein-Hawking表达的变形应按预期较小。

We investigate the validity of the generalized second law of thermodynamics, applying Barrow entropy for the horizon entropy. The former arises from the fact that the black-hole surface may be deformed due to quantum-gravitational effects, quantified by a new exponent $Δ$. We calculate the entropy time-variation in a universe filled with the matter and dark energy fluids, as well as the corresponding quantity for the apparent horizon. We show that although in the case $Δ=0$, which corresponds to usual entropy, the sum of the entropy enclosed by the apparent horizon plus the entropy of the horizon itself is always a non-decreasing function of time and thus the generalized second law of thermodynamics is valid, in the case of Barrow entropy this is not true anymore, and the generalized second law of thermodynamics may be violated, depending on the universe evolution. Hence, in order not to have violation, the deformation from standard Bekenstein-Hawking expression should be small as expected.

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