论文标题
tsallis中宇宙空间的出现从平衡和非平衡热力学透视图中的重力变化
Emergence of cosmic space in Tsallis modified gravity from equilibrium and non-equilibrium thermodynamic perspective
论文作者
论文摘要
在本文中，我们从热力学定律中获得了tsallis熵的出现定律。我们首先从统一的第一定律和克劳西乌斯关系的平衡描述中得出了出现定律。但是，已经表明，考虑到Tsallis熵是地平线熵，Clausius关系$ΔQ= T DS $由于非平衡热力学而无法成立，并由熵 - 平衡关系$ ds = \ frac = \ frac {Δq} {ta}+d_ iS $ d_ IS $ d_ iS $ d_ iS $ d_ iS $ d_ iS $ d_ IS $ ds热力学过程。因此，我们从热力学定律的非平衡描述中得出了出现定律。在两种情况下，出现定律之间的比较表明，非平衡方法的出现定律描述了宇宙在面积的体积方面的扩展，这与平衡情况下的有效体积不同。我们进一步表明，出现定律也满足了保姆宇宙的熵最大化的条件。因此，宇宙的熵在渐近未来中演变为有界价值。
In this paper, we obtain the law of emergence with Tsallis entropy from the thermodynamic laws. We first derive the law of emergence from the equilibrium description of the unified first law and Clausius relation. However, it has been shown that considering Tsallis entropy as the horizon entropy, the Clausius relation $δQ=T dS$ does not hold due to non-equilibrium thermodynamics and is replaced by the entropy-balance relation $dS=\frac{δQ}{T}+d_{i}S$, where $d_iS$ is the additional entropy produced due to the irreversible thermodynamic process. Hence, we derive the law of emergence from the non-equilibrium description of thermodynamic laws. The comparison between the law of emergence in both cases shows that the law of emergence from the non-equilibrium approach describes the expansion of the universe in terms of the areal volume, unlike the effective volume in the equilibrium case. We have further shown that the law of emergence also satisfies the condition of the maximization of entropy for a de Sitter universe; thus, the entropy of the universe evolves to a bounded value in the asymptotic future.
