论文标题
抗DE保姆时空的常规Bardeen黑洞的物理和微观结构
Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime
论文作者
论文摘要
我们研究常规Bardeen Ads黑洞中的相结构和微观相互作用。黑洞中的稳定相位稳定相位通过共存和旋转曲线分析。该溶液是在数值上获得的,因为共存曲线的分析解决方案是不可行的。 $ p_r-t_r $共存方程是使用拟合公式获得的。共存和旋转曲线以$ p_r-t_r $和$ t_r-v_r $ planes绘制,以探索黑洞的相结构。在研究的第二部分中,我们能够使用S.W.提出的新型Ruppeiner几何形状来探测常规Bardeen Ads黑洞的微观相互作用。 wei \ emph {et.al} phys。 Rev. Lett.123,071103(2019)。发现在小黑洞(SBH)和大黑洞(LBH)相中,微观相互作用不相同。在SBH阶段,在低温方向上存在微观结构中的排斥相互作用。相反,与LBH相关的微观结构在整个参数空间中具有吸引人的相互作用。我们发现,沿着SBH和LBH分支的共存温度,其差异为负小度,关键指数等于$ 1/2 $。
We study the phase structure and the microscopic interactions in regular Bardeen AdS black hole. The stable and metastable phases in the black hole are analysed through coexistence and spinodal curves. The solutions are obtained numerically as the analytic solution to the coexistence curve is not feasible. The $P_r-T_r$ coexistence equation is obtained using a fitting formula. The coexistence and spinodal curves are plotted in $P_r-T_r$ and $T_r-V_r$ planes to explore the phase structure of the black hole. In the second part of our study, we were able to probe the microscopic interactions of regular Bardeen AdS black hole using the novel Ruppeiner geometry proposed by S.W. Wei \emph{et.al} Phys. Rev. Lett.123, 071103 (2019). It is found that the microscopic interactions are not same in the small black hole (SBH) and large black hole (LBH) phases. In the SBH phase, there exists a repulsive interaction in the microstructure in the low temperature regime. In contrast, the microstructure associated with the LBH phase has attractive interaction throughout the parameter space. We found that, along the coexistence temperature both the SBH and LBH branches diverge to negative infinity with a critical exponent equal to $1/2$.