Derives complex phase diagram and Widom line for Born-Infeld AdS black holes with reentrant transitions via Lee-Yang zeros, showing nonlinear effects alter critical behavior but preserve supercritical uniqueness.
Universal Supercritical Behavior in Global Monopole-Charged AdS Black Holes
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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.
fields
hep-th 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Noncommutative corrections preserve the mean-field universality class of the supercritical crossover and Widom line in charged AdS black holes.
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Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
Derives complex phase diagram and Widom line for Born-Infeld AdS black holes with reentrant transitions via Lee-Yang zeros, showing nonlinear effects alter critical behavior but preserve supercritical uniqueness.
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Perturbative study of Supercritical Crossover in Noncommutative-corrected Spacetime
Noncommutative corrections preserve the mean-field universality class of the supercritical crossover and Widom line in charged AdS black holes.