https://doi.org/10.1140/epjc/s10052-025-15111-y
Regular Article - Theoretical Physics
Probing phase transitions of regular black holes in anti-de Sitter space with Lyapunov exponent
1
Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Key Laboratory of Quantum Theory and Applications of MoE, Gansu Provincial Research Center for Basic Disciplines of Quantum Physics, Lanzhou University, 730000, Lanzhou, China
2
Institute of Theoretical Physics and Research Center of Gravitation, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
a
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Received:
29
October
2025
Accepted:
22
November
2025
Published online:
2
December
2025
Abstract
We investigate the relationship between thermodynamic phase transitions and the Lyapunov exponent of charged regular anti-de Sitter black holes in quasi-topological gravity. Our results show that the Lyapunov exponent displays multivalued behavior during phase transitions. Moreover, along the coexistence curve the Lyapunov exponent changes discontinously and continuously at the critical point. Near the critical point, the Lyapunov exponent follows a power-law behavior with a critical exponent of 1/2, suggesting its role as an order parameter and encodes information on black hole phase transitions.
© The Author(s) 2025
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