For Publishers
DiscoveryMetadataPeer reviewHostingPublishing
For Researchers
JoinPublishReviewCollect
Register
Blog
About
Search
Advanced search
My ScienceOpen
Search
For Publishers
For Researchers
Blog
About
12
views
11
references
 Top references
cited by
47
    
0 reviews
 Review
0
comments
 Comment
0
recommends
+1 Recommend
0 collections
    0
    shares
      137
      similar
       All similar
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics

      Preprint
      Author(s): , ,
      Publication date Created:

      Read this article at

      ScienceOpenPublisherArXiv
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          We study the thermodynamics of \(D\)-dimensional Born-Infeld AdS black holes in the extended phase space. We find that the usual small-large black hole phase transition, which exhibits analogy with the Van de Waals liquid-gas system holds in all dimensions greater than three. However, different from the four-dimensional case, in the system of higher dimensional Born-Infeld AdS black holes there is no reentrant phase transition. For the three-dimensional Born-Infeld AS black hole, there does not exist critical phenomena.

          Related collections

          Most cited references11

          • Record: found
          • Abstract: found
          • Article: found
          Is Open Access

          Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source

          , (2013)
          In this paper, we consider the solutions of Einstein gravity in the presence of a generalized Maxwell theory, namely power Maxwell invariant. First, we investigate the analogy of nonlinear charged black hole solutions with the Van der Waals liquid--gas system in the extended phase space where the cosmological constant appear as pressure. Then, we plot isotherm \(P\)--\(V\) diagram and study the thermodynamics of AdS black hole in the (grand canonical) canonical ensemble in which (potential) charge is fixed at infinity. Interestingly, we find the phase transition occurs in the both of canonical and grand canonical ensembles in contrast to RN black hole in Maxwell theory which only admits canonical ensemble phase transition. Moreover, we calculate the critical exponents and find their values are the same as those in mean field theory. Besides, considerably, we find in the grand canonical ensembles universal ratio \(\frac{P_{c}v_{c}}{T_{c}}\) is independent of spacetime dimensions.
          Article 0 comments Cited 49 times – based on 0 reviews
          Preprint
               Review now
            Bookmark
            • Record: found
            • Abstract: found
            • Article: found
            Is Open Access

            Reentrant Phase Transitions in Rotating AdS Black Holes

            Natacha Altamirano, David Kubiznak, Robert B. Mann (2013)
            We study the thermodynamics of higher-dimensional singly spinning asymptotically AdS black holes in the canonical (fixed J) ensemble of extended phase space, where the cosmological constant is treated as pressure and the corresponding conjugate quantity is interpreted as thermodynamic volume. Along with the usual small/large black hole phase transition, we find a new phenomenon of reentrant phase transitions for all d>5 dimensions, in which a monotonic variation of the temperature yields two phase transitions from large to small and back to large black holes. This situation is similar to that seen in multicomponent liquids.
            Article 0 comments Cited 49 times – based on 0 reviews
            Preprint
                 Review now
              Bookmark
              • Record: found
              • Abstract: found
              • Article: found
              Is Open Access

              Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes

              Xiaoning Wu, Yu Tian, Chao Niu (2011)
              The phase transition of Reissner-Nordstr\"om black holes in \((n+1)\)-dimensional anti-de Sitter spacetime is studied in details using the thermodynamic analogy between a RN-AdS black hole and a van der Waals liquid gas system. We first investigate critical phenomena of the RN-AdS black hole. The critical exponents of relevant thermodynamical quantities are evaluated. We find identical exponents for a RN-AdS black hole and a Van der Waals liquid gas system. This suggests a possible universality in the phase transitions of these systems. We finally study the thermodynamic behavior using the equilibrium thermodynamic state space geometry and find that the scalar curvature diverges exactly at the van der Waals-like critical point where the heat capacity at constant charge of the black hole diverges.
              Article 0 comments Cited 42 times – based on 0 reviews
              Preprint
                   Review now
                Bookmark
                All references

                Author and article information

                Journal
                Publication date Created: 28 November 2013
                Publication date Updated: 2014-02-05
                Article
                DOI: 10.1103/PhysRevD.89.044002
                ArXiV ID: 1311.7299
                SO-VID: 1665017e-696a-45b0-a09e-7e77ed0df3ce
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Journal reference Phys. Rev. D 89, 044002 (2014)
                Comments 20 pages, 37 figures, new version, appeared in Phys. Rev. D 89, 044002 (2014)
                Categories hep-th gr-qc

                Data availability:

                Comments

                Comment on this article

                scite_

                Similar content137

                See all similar

                Cited by47

                See all cited by

                Most referenced authors67

                See all reference authors