_{5}Model

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^{2}

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^{2}

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We study the destruction of heavy quarkonium due to the entropic force in a deformed AdS_{5} model. The effects of the deformation parameter on the interdistance and the entropic force are investigated. The influence of the deformation parameter on the quarkonium dissociation is analyzed. It is shown that the interdistance increases in the presence of the deformation parameter. In addition, the deformation parameter has the effect of decreasing the entropic force. These results imply that the quarkonium dissociates harder in a deformed AdS background than in a usual AdS background, in agreement with earlier findings.

It is well-known that the dissociation of heavy quarkonium can be regarded as an important experimental signal of the formation of strongly coupled quark-gluon plasma (QGP) [

AdS/CFT, which maps a

Now, we would like to give such analyses from AdS/QCD. The motivation is that AdS/QCD models can provide a nice phenomenological description of hadronic properties as well as quark-antiquark interaction; see [

The paper is organized as follows. In the next section, we briefly review the action of holographic models and then introduce the Andreev-Zakharov model. In Section

Before reviewing the Andreev-Zakharov model, let us briefly introduce the holographic models in terms of the action [

To obtain an AdS-black hole space-time, one considers a constant scalar field

Supposing that the horizon function

To emulate confinement in the boundary theory, one can introduce a quadratic dilaton,

If one works with

The entropic force is an emergent force. According to the second law of thermodynamics, it stems from multiple interactions which drive the system toward the state with a larger entropy. This force was originally introduced in [

In [

On the other hand, the entropy is given by

We now follow the calculations of [

Parameterizing the static string coordinates by

Then the Lagrangian density is found to be

Note that

Applying the boundary condition at

From (

By integrating (

To analyze the effect of the deformation parameter on the interdistance, we plot ^{2} in Figure

^{2} and

Moreover, one finds that for each plot ^{2} and

Next, we discuss the free energy. There are two cases.

In terms of (

Likewise, using (

To analyze the effect of the deformation parameter on the entropic force, we plot ^{2} in Figure

In heavy ion collisions, the dissociation of heavy quarkonium is an important experimental signal for QGP formation. Recently, the destruction of heavy quarkonium due to the entropic force has been discussed in the context of AdS/CFT [

In this paper, we have investigated the destruction of heavy quarkonium in a deformed

In addition, to understand the “usual” or “unusual” behavior of meson, we have compared the results between

Finally, it would be interesting to study the entropic force in some other holographic QCD models, such as the Sakai-Sugimoto model [

The authors declare that they have no conflicts of interest.

This research is partly supported by the Ministry of Science and Technology of China (MSTC) under 973 Project no. 2015CB856904