AI 中文总结
该研究探究κ-变形Schwarzschild-AdS黑洞的焦耳-汤姆孙膨胀，发现其最低反转温度与临界温度的比值与Reissner-Nordstrom黑洞吻合，且存在与κ-变形参数相关的最低黑洞质量，低于该质量时焦耳-汤姆孙膨胀消失。
AI 中文摘要
我们研究非对易Schwarzschild-AdS黑洞的焦耳-汤姆孙膨胀，其时空几何由李代数κ-变形时空描述，结果表明κ-变形参数会在不带电的AdS黑洞中诱导出焦耳-汤姆孙膨胀。我们得到最低反转温度与临界温度的比值T_i^(min)/T_c≈0.493，该比值与变形参数无关，且与Reissner-Nordstrom黑洞的对应值高度吻合。此外，我们还证明存在一个最低黑洞质量（取决于κ-变形参数），当黑洞质量低于该值时，焦耳-汤姆孙膨胀会消失。
英文摘要
We investigate the Joule-Thomson expansion of a non-commutative Schwarzschild-AdS black hole, whose space-time geometry is described by the Lie-algebraic $κ$-deformed space-time, and show that the $κ$-deformation parameter induces Joule-Thomson expansion in an uncharged-AdS black hole. We find the ratio of minimum inversion temperature to critical temperature $T_i^{(min)}/T_c \simeq 0.493$, is independent of the deformation parameter, and is in close agreement with the value for Reissner-Nordstrom black hole. Furthermore, we show the existence of a minimum black hole mass (depending on the $κ$-deformation parameter) below which the Joule-Thomson expansion vanishes.
