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September 14, 2026The European Physical Journal COpen Access

Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes

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Authors

MAMozib Bin AwalPPPrabwal Phukon

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Overview

Theoretical modeling demonstrates universal dynamic scaling and critical slowing down in anti-de Sitter black holes, indicating shared non-equilibrium thermodynamics across distinct systems.

Key Points

  • To investigate the dynamical critical behavior, relaxation kinetics, and potential universality of black hole phase transitions in anti-de Sitter spacetime.
  • Extended the stochastic free energy landscape framework to Kerr-anti-de Sitter (AdS) black holes by modeling the Langevin evolution of entropy near criticality.
  • Computed relaxation and autocorrelation dynamics using the lowest eigenvalue of the Fokker–Planck equation.
  • Analyzed relaxation pathways across variations in temperature, pressure, and angular momentum for Kerr-AdS, Reissner–Nordström-AdS, and Bardeen black holes.
  • Demonstrated pronounced critical slowing down near phase boundaries, marked by a substantial increase in autocorrelation time.
  • Identified a dynamic scaling relation for relaxation time of tau = |epsilon|^(-2/3) across all tested thermodynamic trajectories.
  • Found identical scaling exponents across Kerr-AdS, RN-AdS, and Bardeen black holes, establishing universal non-equilibrium critical dynamics.

Cite This Study

Awal et al. (2026) studied this question.

synapsesocial.com/papers/6aa7b2c70926e14a848b14f1https://doi.org/10.1140/epjc/s10052-026-16329-0
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