A note on Maxwell's equal area law for black hole phase transition
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- 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- 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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