标题： 黑膜/玻色气体对偶与热力学第三定律 显示英文标题

标题： Black Brane/Bose Gase Duality and Third Law of Thermodynamics

摘要： 在渐近平坦空间中的黑洞热力学中，热力学第三定律被违反，熵无法通过传统的统计力学一致建模。 值得注意的是，对于施瓦茨希尔德黑洞，热力学第三定律被违反，其熵只能通过非常规模型来描述，例如负维玻色气体。 相比之下，某些黑洞膜解，如庞加莱反德西特黑洞膜、利夫希茨黑洞膜和各向异性利夫希茨型黑洞膜，热力学第三定律得以保持，熵随着温度趋近于零而消失。 在本文中，我们将之前建立的黑洞与玻色气体热力学之间的对偶性扩展到黑洞膜。 具体而言，$D$维时空中的庞加莱黑洞膜对应于$2(D-2)$维空间中的非相对论玻色气体。 此外，利夫希茨膜与玻色气体之间的对偶性将指数为$\alpha$的$D$维时空中的利夫希茨膜与能量为$k^\alpha$的$D-2$维空间中的准粒子玻色气体联系起来。 显示英文摘要

摘要： In the thermodynamics of black holes in asymptotically flat space, the third law of thermodynamics is violated, and entropy cannot be consistently modeled through conventional statistical mechanics. Notably, the third law of thermodynamics is violated for the Schwarzschild black hole, and its entropy can only be described using an unconventional model, such as a Bose gas in negative dimensions. In contrast, for certain black brane solutions such as Poincare AdS black branes, Lifshitz black branes, and anisotropic Lifshitz-type black branes, the third law is preserved, with entropy vanishing as temperature approaches zero. In this paper, we extend the previously established duality between black hole and Bose gas thermodynamics to black branes. Specifically, the Poincare black brane in $D$ spacetime dimensions corresponds to a non-relativistic Bose gas in $2(D-2)$ spatial dimensions. Furthermore, the duality between Lifshitz branes and Bose gases relates a Lifshitz brane with exponent $\alpha$ in $D$-dimensional spacetime to a Bose gas of quasi-particles with energy $k^\alpha$ in $D-2$ spatial dimensions.