Holographic Van der Waals phase transition for a hairy black hole
arXiv:1706.02024
Abstract
The Van der Waals(VdW) phase transition in a hairy black hole is investigated by analogizing its charge, temperature, and entropy as the temperature, pressure, and volume in the fluid respectively. The two point correlation function(TCF), which is dual to the geodesic length, is employed to probe this phase transition. We find the phase structure in the temperaturegeodesic length plane resembles as that in the temperaturethermal entropy plane besides the scale of the horizontal coordinate. In addition, we find the equal area law(EAL) for the first order phase transition and critical exponent of the heat capacity for the second order phase transition in the temperaturegeodesic length plane are consistent with that in temperaturethermal entropy plane, which implies that the TCF is a good probe to probe the phase structure of the back hole.
arXiv commentAccepted by Advances in High Energy Physics(The special issue: Applications of the Holographic Duality to Strongly Coupled Quantum Systems)
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