2017/07/27 by Meng-Sen Ma, Ruihong Wang, Rui-Hong Wang · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Computer science #Condensed matter physics #Cosmology and Gravitation Theories #Critical phenomena #Criticality #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nuclear physics #Phase (matter) #Phase transition #Physics #Quantum mechanics #gr-qc #hep-th #van der Waals force
paper · pdf · doi:10.1103/physrevd.96.024052
published as Phys. Rev. D 96, 024052 (2017) · 16 pages, 8 figures. some typos are corrected. a note is added at the last of the paper
openalex publication_date 2017/07/27 · arxiv created 2017/08/08 · openalex created_date 2017/08/08 · arxiv updated 2017/08/09 · openalex updated_date 2026/08/05
We demonstrate the existence of P\ensuremath-V criticality of the topological Ho\ifmmode \checkr\else \vr\fiava-Lifshitz (HL) black holes with a spherical horizon (k=1) in the extended phase space. With the electric charge, we find that the critical behaviors of the HL black hole are nearly the same as those of a van der Waals (VdW) system. For the uncharged case, the HL black hole has a peculiar P\ensuremath-V criticality. The critical behavior is completely controlled by a parameter \ensuremathε, but not the temperature T. When \ensuremathε is larger than a critical value \ensuremathεc, no matter what the temperature is, there will be the first-order phase transition. Moreover, we find that there is an infinite number of critical points which form a ``critical curve.'' As far as we know, this is the first time to find this kind of peculiar P\ensuremath-V criticality.