Critical behavior for the dilaton black holes

Abstract

We study the critical behavior in the black p-branes and four dimensional charged dilaton black holes. We calculate the thermodynamic fluctuations in the various (microcanonical, canonical, and grandcanonical) ensembles. It is found that the extremal limit of some black configurations has a critical point and a phase transition takes place from the extremal to nonextremal black configurations. Some critical exponents are obtained, which satisfy the scaling laws. This is related to the fact that the entropy of these black configurations is a homogeneous function.

33 pages, RevTex, no figures

References in corpus (2)

• Near-extremal black hole entropy and fluctuating 3-branes
• Effective spatial dimension of extremal non-dilatonic black p-branes and the description of entropy on the world volume

Cited by in corpus (14)

• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• Phase Structure of Kerr-AdS Black Hole
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
• A general framework to study the extremal phase transition of black holes
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly
• Phantom black holes and critical phenomena
• Ultrarelativistic limits of boosted dilaton black holes
• Intersecting non-SUSY branes and closed string tachyon condensation
• Asymptotically AdS Magnetic Branes in (n+1)-dimensional Dilaton Gravity
• Specific dynamics for the Domain-Walls in Einstein-Maxwell-Dilaton theory
• Conformally invariant thermodynamics of a Maxwell-Dilaton black hole
• Conformal Invariance and Phase Transitions: Implications for Stable Black Hole Horizons?