English

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

General Relativity and Quantum Cosmology 2015-09-30 v1

Abstract

The state equation of the charged AdS black hole is reviewed in the TrT-r plane. Thinking of the phase transition, the TST-S, PVP-V, PνP-\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 PνP-\nu plane. According to the TST-S, PVP-V results, we plot the PTQP-T-Q graph and find that for a highly charged black hole a very low temperature condition is required for the phase transition.

Keywords

Cite

@article{arxiv.1503.07658,
  title  = {A note on Maxwell's equal area law for black hole phase transition},
  author = {Shan-Quan Lan and Jie-Xiong Mo and Wen-Biao Liu},
  journal= {arXiv preprint arXiv:1503.07658},
  year   = {2015}
}
R2 v1 2026-06-22T09:02:42.766Z