Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
A note on Maxwell's equal area law for black hole phase transition
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abstract
The state equation of the charged AdS black hole is reviewed in the $T-r$ plane. Thinking of the phase transition, the $T-S$, $P-V$, $P-\nu$ graphs are plotted and then the equal area law is used in the three cases to get the phase transition point (P,T). The analytical phase transition point relations for P-T of charged AdS black hole has been obtained successfully. By comparing the three results, we find that the equal area law possibly cannot be used directly for $P-\nu$ plane. According to the $T-S$, $P-V$ results, we plot the $P-T-Q$ graph and find that for a highly charged black hole a very low temperature condition is required for the phase transition.
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Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
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A Note on Chaos in Hayward Black Holes with String Fluids
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
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Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.