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arXiv · 2512.12723

Universal Supercritical Behavior in Global Monopole-Charged AdS Black Holes

Ankit Anand·Shoucheng Wang
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Abstract

We analytically investigate the Widom line and universal supercritical crossover for charged AdS black holes threaded by a global monopole. We compute thermodynamic variables in both the extended and canonical ensembles. We derive the scaled variance $\Omega$ using the Gibbs free energy and locate the Widom line as the extrema of this. Using mean-field expansion of the equation of state near criticality, we obtain closed-form expressions for the Widom line and the two branching crossover lines $L^\pm$. We show that the monopole parameter shifts the critical parameters but does not change the mean-field universal scaling: the leading linear term and the nonanalytic correction remain universal in both ensembles. We also numerically verify this using the supercritical crossover lines $L^\pm$ and show the universal scaling laws and the complete supercritical phase diagrams.

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Ankit Anand, Shoucheng Wang. 2025-12-14. Universal Supercritical Behavior in Global Monopole-Charged AdS Black Holes. https://arxiv.org/abs/2512.12723

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