论文标题
典型广告在M理论/超弦启发模型中的典型广告的相变
Phase Transitions of Quintessential AdS Black Holes in M-theory/Superstring Inspired Models
论文作者
论文摘要
我们研究$ D $ -Dimensional $ ads $黑洞,黑洞(de)包围,嵌入$ d $ d $ diper-diperional m-dyory/superString Inspim Inspim Inspim的型号,具有$ ads_d \ times \ times \ mathbb {s}^{d+k} $ d = 2d+k $。我们专注于典型de Black Hole Solutions的热力学鹰型页面过渡,其显微镜起源与$ n $ comincention $(D-2)$ - BRANES相关联,该branes可以生活在这样的$(2D+K)$ - 尺寸模型中。将宇宙常数解释为颜色的数量$ \ propto n^{\ frac {d-1} {2}} $,我们根据brane数量,熵和de贡献来计算各种热力学数量。在没有DE的情况下,计算与颜色数量相结合的化学电势,我们表明一个通用黑洞更稳定,对于较低尺寸的较大麸皮$ d $。在DE的存在下,我们发现DE State参数$ω_Q$应该采用特定的值,对于$(D,D,d,k)$模型,提供非trif triv型相结构。
We study $d$-dimensional $AdS$ black holes surrounded by Dark Energy (DE), embedded in $D$-dimensional M-theory/superstring inspired models having $AdS_d \times \mathbb{S}^{d+k}$ space-time with $D=2d+k$. We focus on the thermodynamic Hawking-Page phase transitions of quintessential DE black hole solutions, whose microscopical origin is linked to $N$ coincident $(d-2)$-branes supposed to live in such $(2d+k)$-dimensional models. Interpreting the cosmological constant as the number of colors $\propto N^{\frac{d-1}{2}}$, we calculate various thermodynamical quantities in terms of brane number, entropy and DE contributions. Computing the chemical potential conjugated to the number of colors in the absence of DE, we show that a generic black hole is more stable for a larger number of branes for lower dimensions $d$.In the presence of DE, we find that the DE state parameter $ω_q$ should take particular values, for $(D,d,k)$ models, providing a non trivial phase transition structure.