2,132 research outputs found

### Holographic Van der Waals phase transition for a hairy black hole

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 temperature$-$geodesic
length plane resembles as that in the temperature$-$thermal 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
temperature$-$geodesic length plane are consistent with that in
temperature$-$thermal entropy plane, which implies that the TCF is a good probe
to probe the phase structure of the back hole.Comment: Accepted by Advances in High Energy Physics(The special issue:
Applications of the Holographic Duality to Strongly Coupled Quantum Systems

### Van der Waals phase transition in the framework of holography

Phase structure of the quintessence Reissner-Nordstr\"{o}m-AdS black hole is
probed with the nonlocal observables such as holographic entanglement entropy
and two point correlation function. Our result shows that, as the case of the
thermal entropy, both the observables exhibit the similar Van der Waals-like
phase transition. To reinforce the conclusion, we further check the equal area
law for the first order phase transition and critical exponent of the heat
capacity for the second order phase transition. We also discuss the effect of
the state parameter on the phase structure of the nonlocal observables.Comment: 16 pages, 6 figures. arXiv admin note: text overlap with
arXiv:1511.0038

### Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity

The Van der Waals-like phase transition is observed in temperature-thermal
entropy plane in spherically symmetric charged Gauss-Bonnet-AdS black hole
background. In terms of AdS/CFT, the non-local observables such as holographic
entanglement entropy, Wilson loop, and two point correlation function of very
heavy operators in the field theory dual to spherically symmetric charged
Gauss-Bonnet-AdS black hole have been investigated. All of them exhibit the Van
der Waals-like phase transition for a fixed charge parameter or Gauss-Bonnet
parameter in such gravity background. Further, with choosing various values of
charge or Gauss-Bonnet parameter, the equal area law and the critical exponent
of the heat capacity are found to be consistent with phase structures in
temperature-thermal entropy plane.Comment: Some statements about the analogy between the black hole phase
transition in $T-S$ plane and Van der Waals-like phase transition in $P-V$
plane are added. This is the published versio

### Phase transition of holographic entanglement entropy in massive gravity

The phase structure of holographic entanglement entropy is studied in massive
gravity for the quantum systems with finite and infinite volumes, which in the
bulk is dual to calculate the minimal surface area for a black hole and black
brane respectively. In the entanglement entropy$-$temperature plane, we find
for both the black hole and black brane there is a Van der Waals-like phase
transition as the case in thermal entropy$-$temperature plane. That is, there
is a first order phase transition for the small charge and a second order phase
transition at the critical charge. For the first order phase transition, the
equal area law is checked and for the second order phase transition, the
critical exponent of the heat capacity is obtained. All the results show that
the phase structure of holographic entanglement entropy is the same as that of
thermal entropy regardless of the volume of the spacetime on the boundary.Comment: 15 pages, many figures, some statments are adde

### Shadows and photon spheres with spherical accretions in the four-dimensional Gauss-Bonnet black hole

We investigate the shadows and photon spheres of the four-dimensional
Gauss-Bonnet black hole with the static and infalling spherical accretions. We
show that for both cases, the shadow and photon sphere are always present. The
radii of the shadow and photon sphere are independent of the profiles of
accretion for a fixed Gauss-Bonnet constant, implying that the shadow is a
signature of the spacetime geometry and it is hardly influenced by accretion in
this case. Because of the Doppler effect, the shadow of the infalling accretion
is found to be darker than that of the static one. We also investigate the
effect of the Gauss-Bonnet constant on the shadow and photon sphere, and find
that the larger the Gauss-Bonnet constant is, the smaller the radii of the
shadow and photon sphere will be. In particular, the observed specific
intensity increases with the increasing of the Gauss-Bonnet constant.Comment: published versio

### Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function

Van der Waals like behavior of $f(R)$ AdS black holes is revisited via two
point correlation function, which is dual to the geodesic length in the bulk.
The equation of motion constrained by the boundary condition is solved
numerically and both the effect of boundary region size and $f(R)$ gravity are
probed. Moreover, an analogous specific heat related to $\delta L$ is
introduced. It is shown that the $T-\delta L$ graphs of $f(R)$ AdS black holes
exhibit reverse van der Waals like behavior just as the $T-S$ graphs do. Free
energy analysis is carried out to determine the first order phase transition
temperature $T_*$ and the unstable branch in $T-\delta L$ curve is removed by a
bar $T=T_*$. It is shown that the first order phase transition temperature is
the same at least to the order of $10^{-10}$ for different choices of the
parameter $b$ although the values of free energy vary with $b$. Our result
further supports the former finding that charged $f(R)$ AdS black holes behave
much like RN-AdS black holes. We also check the analogous equal area law
numerically and find that the relative errors for both the cases $\theta_0=0.1$
and $\theta_0=0.2$ are small enough. The fitting functions between $\log\mid T
-T_c\mid$ and $\log\mid\delta L-\delta L_c\mid$ for both cases are also
obtained. It is shown that the slope is around 3, implying that the critical
exponent is about $2/3$. This result is in accordance with those in former
literatures of specific heat related to the thermal entropy or entanglement
entropy.Comment: Revised version. Match the published version. 14pages,5figure

### Holographic thermalization with a chemical potential in Gauss-Bonnet gravity

Holographic thermalization is studied in the framework of
Einstein-Maxwell-Gauss-Bonnet gravity. We use the two-point correlation
function and expectation value of Wilson loop, which are dual to the
renormalized geodesic length and minimal area surface in the bulk, to probe the
thermalization. The numeric result shows that larger the Gauss-Bonnet
coefficient is, shorter the thermalization time is, and larger the charge is,
longer the thermalization time is, which implies that the Gauss-Bonnet
coefficient can accelerate the thermalization while the charge has an opposite
effect. In addition, we obtain the functions with respect to the thermalization
time for both the thermalization probes at a fixed charge and Gauss-Bonnet
coefficient, and on the basis of these functions, we obtain the thermalization
velocity, which shows that the thermalization process is non-monotonic. At the
middle and later periods of the thermalization process, we find that there is a
phase transition point, which divides the thermalization into an acceleration
phase and a deceleration phase. We also study the effect of the charge and
Gauss-Bonnet coefficient on the phase transition point.Comment: 23 pages, many figures,footnote 4 is modified. arXiv admin note:
substantial text overlap with arXiv:1305.484

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