In this paper, we consider dyonic charged AdS black hole which is holographic dual of a van der Waals fluid. We use logarithmic corrected entropy and study thermodynamics of the black hole and show that holographic picture is still valid. Critical behaviors and stability also discussed. Logarithmic corrections arises due to thermal fluctuations which are important when size of black hole be small. So, thermal fluctuations interpreted as quantum effect. It means that we can see quantum effect of a black hole which is a gravitational system.

In this paper we consider a moving quark in the thermal plasma at the N =2 Supergravity theory. By using the AdS/CFT correspondence we obtain energy loss of the quark. Then we consider the higher derivative corrections in charged AdS-black hole and calculate the drag force on the moving quark in the thermal plasma. Also we find a limit which N =2 Supergravity solutions are corresponding to the N =4 Super Yang-Mills solutions for the heavy quark.using AdS/CFT correspondence in many complicated problem of QCD. For example most of the research is about energy loss of moving charged particles in plasma based on week coupling [4][5][6][7][8][9][10][11][12][13][14][15]. But if one would like to understand the dynamics of such systems in the strong coupling, then there are some complicated calculations in QCD. Therefore energy loss of moving quark through the N =4 super Yang-Mills thermal plasma [16] is studied by using AdS/CFT correspondence [17][18][19][20]. Furthermore the drag force on a pair of quark-anti quark is considered [17,21,22,23]. In this way adding the temperature to the system in the gauge theory is corresponding to introduce a black hole (black brane) in the center of AdS 5 space. In this model, at non-zero temperature, one can image open string stretched from D-brane to the horizon and end point of string on D-brane represents a quark, so the quark moves and pulls the string. By study the behavior of the string end point, we can obtain energy loss of the quark and drag force in the gauge theory . In this paper we consider the moving quark in N =2 supergravity thermal medium [24,25], and calculate drag force in various situations. Indeed, solutions of N =2 supergravity may be solutions of supergravity theory with more supersymmetry (N =4 and N =8). The N =2 supergravity theory in five dimensions can be obtained by compactifying eleven dimensional supergravity in a 3-fold Calabi-Yau [26]. Also anti de Sitter supergravity can obtain by gauging the U(1) subgroup of the SU(2) group in N =2 supersymmetric algebra. Also we would like to add a constant B field to the system and find effect of constant electric and magnetic field on the drag force. Already the drag force in a thermal plasma of N =4 super Yang-Mills theory under the influence of non-zero NSNS B-field background has been studied [27]. Then we consider higher derivative corrections to AdS 5 charged black hole and obtain drag force. Already the higher-derivative curvature corrections to type IIB supergravity was done [28][29][30][31]. Also effect of curvature-squared corrections on the drag force of moving heavy quark in the N =4 super Yang-Mills plasma is considered by Ref. [32]. Furthermore presence of R 2term in curvature tensor in N =2 supergravity theory has been studied [33]. However, we use the solutions of spherical symmetric AdS 5 charged black hole [24,25] and find drag force on the moving quark through thermal plasma and then consider the effect of higher derivative terms [34] on the drag force. We note that the stated analysis might be ...

We consider a massive black hole in four dimensional AdS space and study the effect of thermal fluctuations on the thermodynamics of the black hole. We consider thermal fluctuations as logarithmic correction terms in the entropy. We analyse the effect of logarithmic correction on thermodynamics potentials like Helmholtz and Gibbs which are found decreasing functions. We study critical points and stability and find that presence of logarithmic correction is necessary to have stable phase and critical point.

In this paper, we will analyze the effects of thermal fluctuations on a charged AdS black hole. This will be done by analyzing the corrections to black hole thermodynamics due to these thermal fluctuations. We will demonstrate that the entropy of this black hole get corrected by logarithmic term. We will also calculate other corrections to other important thermodynamic quantities for this black hole. Finally, we will use the corrected value of the specific heat to analyze the phase transition in this system.

In this paper we construct modified cosmic Chaplygin gas which has viscosity. We use exponential function method to solve non-linear equation and obtain time-dependent dark energy density. Then discuss Hubble expansion parameter and scale factor and fix them by using observational data. We also investigate stability of this theory.

We consider a charged black hole with a scalar field that is coupled to gravity in (2 + 1)-dimensions. We compute the logarithmic corrections to the corresponding system using two approaches. In the first method we take advantage of thermodynamic properties. In the second method we use the metric function that is suggested by conformal field theory. Finally, we compare the results of the two approaches.

In this paper we study FRW bulk viscous cosmology in presence of modified Chaplygin gas. We write modified Friedmann equations due to bulk viscosity and Chaplygin gas and obtain time-dependent energy density for the special case of flat space.

In this work, we analyze the effects of thermal fluctuations on the thermodynamics of a modified Hayward black hole. These thermal fluctuations will produce correction terms for various thermodynamical quantities like entropy, pressure, internal energy, and specific heats. We also investigate the effect of these correction terms on the first law of thermodynamics. Finally, we study the phase transition for the modified Hayward black hole. It is demonstrated that the modified Hayward black hole is stable even after the thermal fluctuations are taken into account, as long as the event horizon is larger than a certain critical value.