扩展相空间中对称生成黑洞的焦耳-汤姆逊膨胀
Joule Thomson expansion of symmergent black holes in extended phase space
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中文总结 AI 辅助
该研究在扩展相空间中分析对称生成黑洞的焦耳-汤姆逊膨胀，发现反转曲线独立于对称参数，而等焓曲线依赖之，并区分冷却与加热区域，为相关热力学提供一致框架。
中文摘要 AI 辅助
我们在扩展相空间形式中研究了对称生成黑洞的焦耳-汤姆逊膨胀，其中热力学压力作为独立变量引入。对称生成熵包含参数α-hat，该参数相对于标准形式修正了焓和热力学体积。我们证明焦耳-汤姆逊系数仅依赖于组合8πP*r_+^2，从而得到与α-hat无关的反转曲线P_i = (π/2) * I_i^2。然而，等焓曲线保留了对α-hat的参数依赖，表明对称生成扇区影响热力学轨迹但不影响反转边界本身。反转压力和温度被显式导出，冷却区域P > P_i与加热区域P < P_i被区分。由于对于正压力，有效几何是渐近AdS类的，结果也允许全息解读，其中焦耳-汤姆逊膨胀对应于对偶场论中的等焓过程。这些结果为对称生成黑洞提供了一致的热力学框架，并阐明了对称生成参数在焦耳-汤姆逊过程中的作用。
英文摘要
We investigate the Joule Thomson expansion of a symmergent black hole within an extended phase-space formalism in which the thermodynamic pressure is introduced as an independent variable. The symmergent entropy contains the parameter alpha-hat, which modifies the enthalpy and thermodynamic volume relative to their standard forms. We show that the Joule Thomson coefficient depends only on the combination 8piP*r_+^2, leading to an inversion curve P_i = (pi/2) * I_i^2 that is independent of alpha-hat. The isenthalpic curves, however, retain a parametric dependence on alpha-hat, indicating that the symmergent sector affects the thermodynamic trajectories but not the inversion boundary itself. The inversion pressure and temperature are derived explicitly, and the cooling regime P > P_i is distinguished from the heating regime P < P_i. Since the effective geometry is asymptotically AdS-like for positive pressure, the results also admit a holographic reading, in which the Joule Thomson expansion corresponds to an isenthalpic process in the dual field theory. The results provide a consistent thermodynamic framework for symmergent black holes and clarify the role of the symmergent parameters in the Joule Thomson process.
发表机构
- Yasuj University（亚苏杰大学）
- Yasouj University（亚苏杰大学）
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