Chaos in Born–Infeld–AdS black hole within extended phase space
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Born–Infeld–AdS black holes in extended phase space may possess phase structures resembling that of van der Waals fluid in four-dimensional spacetime. We study dynamics of its state, which is in the unstable spinodal region initially on phase space, under time-periodic thermal perturbations. By applying the Melnikov method, it is found that there exists a critical amplitude \(\gamma _c\) of the perturbations, which depends on the Born–Infeld parameter b and the black hole charge Q, such that chaos occurs for \(\gamma > \gamma _c\). We found that larger b or Q makes the onset of chaos easier. Space-periodic thermal perturbations on its equilibrium state are also studied and there is always chaos for whatever the perturbation amplitude is.
KeywordsBlack hole thermodynamics Extended phase space Born–Infeld black holes Chaos
This work is supported by National Natural Science Foundation of China (No. 11605155).
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