Chaos in charged AdS black hole extended phase space

Abstract

We present an analytical study of chaos in a charged black hole in the extended phase space in the context of the Poincare-Melnikov theory. Along with some background on dynamical systems, we compute the relevant Melnikov function and find its zeros. Then we analyse these zeros either to identify the temporal chaos in the spinodal region, or to observe spatial chaos in the small - large black hole equilibrium configuration. As a byproduct, we derive a constraint on the Black hole charge required to produce chaotic behaviour. To the best of our knowledge, this is the first endeavour to understand the correlation between chaos and phase picture in black holes.

arXiv comment6 pages, 5 figures, accepted in Phys. Lets. B

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• Chaos in Born-Infeld-AdS black hole within extended phase space
• Joule-Thomson expansion of charged dilatonic black holes
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• Entanglement Entropy and Phase Portrait of f(R)-AdS Black Holes in the Grand Canonical Ensemble
• Shadow Thermodynamics of AdS Black Hole with the Nonlinear Electrodynamics Term
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• Chaotic Motion around a Black Hole under Minimal Length Effects
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• Phase Transition of AdS Black hole in Massive Gravity Revisited via New Prescription
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• Thermal chaos of quantum-corrected-AdS black hole in the extended phase space
• Chaotic motion of particles around a dyonic Kerr-Newman black hole immersed in the Melvin-swirling universe
• Chaos in balanced and unbalanced holographic s+p superconductors