Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle

In this paper, the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g. the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. At last, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.

Thermal features of Barrow corrected-entropy black hole formulation

Through the last years, it was demonstrated that quantum corrections of entropy, represented by logarithmic and power law corrections terms, constituted an association between semi-classical entropic areas and the curvature correction in Einstein–Hilbert’s Lagrangian and vice-versa. Loop quantum gravity approach provided the logarithmic corrections, which arises from quantum and thermal equilibrium fluctuations. On the other hand, Barrow’s entropy was introduced from the fact that the black hole surface can be modified due to quantum gravitational effects. The new exponent $$\Delta $$Δ that appears in Barrow’s entropy is a measure of this perturbation. In this letter we have analyzed the thermodynamical effects of the quantum fluctuations upon the geometry of a Barrow’s black hole. We demonstrated that new formulations of the equipartition law, which corresponds to the horizon energy, can be constructed from both entropic formalisms. Besides, we have calculated the heat capacity for both formulations and we discussed their thermal viability. We have also establish a condition on one of the constant pre-factors of the logarithmic correction.

A complete view of the outskirts of the Coma cluster

ABSTRACT We present a new extended XMM–Newton mosaic of the nearby Coma cluster, which covers the cluster out to the virial radius with nearly complete azimuthal coverage. This large mosaic is combined with the Planck Sunyaev Zel’dovich effect observations to recover the thermodynamic properties of the intracluster medium in an azimuthally averaged profile and 36 angular sectors, producing the highest spatial resolution view of the thermodynamics of the outskirts of a galaxy cluster in its entirety. Beyond r500, our clumping-corrected entropy measurements along the less disturbed directions are statistically consistent with the power-law entropy profile predicted by non-radiative simulations, and the gas mass fraction agrees with the mean cosmic baryon fraction. However, there is a clear entropy deficit in the outskirts to the south-west, coinciding with where Coma connects to a cosmic web filament that joins it to Abell 1367. The low entropy to the south-west extends from 0.5 to 1.0r200, and is consistent with what is expected from simulations of a filamentary gas stream penetrating into the cluster as it continues to accrete matter from the cosmic web. We also find that the radial profiles of the recovered quantities become increasingly asymmetric in the outskirts, particularly along the more disturbed directions, consistent with the predictions of cosmological simulations.

Large-scale correction and thermal properties of holographic dual background of an adaptive graphene model

In this paper, we consider the particle on curved graphene space-time. In that case, we calculate the geometric form of potential which is known as Gaussian function. Here, we introduce the metric background which completely corresponds to curved graphene space-times. This metric leads us to obtain the geometry potential and we make the Laplace Beltrami equation in the mentioned metric background. We also rearrange such relation in terms of the second-order equation. By using the known polynomial, we solve the particle equation of motion in graphene background. In that case, we arrive the energy spectrum which has three terms. We take advantage from energy spectrum and investigate the thermal properties of system. The additional terms give us an opportunity to obtain the corrected entropy and free energy. So, we show that the additional term comes from geometry potential. This correction is important for the large scale. Hence, we show that correction term is logarithmic as well as small scale corrections.

P–V criticality in braneworld black holes with logarithmic-corrected entropy

In this paper, we study the effect of thermal fluctuations on the thermodynamics of braneworld black holes. Due to thermal fluctuations, the correction terms will produce various thermodynamical quantities such as enthalpy, entropy and specific heats. We develop the canonical and grand canonical ensembles in the presence of corrected entropy and examine the phase transition of braneworld black holes. It is observed that the braneworld black holes show more stability by utilizing the logarithmic-corrected entropy. Finally, we show that braneworld black holes represent a holographic dual of van der Waals fluid. We utilize logarithmic-corrected entropy and demonstrate the validity of the holographic picture. P–V criticality, critical behaviors and stability of braneworld black holes are also discussed.

Modified cosmology models from thermodynamical approach

We apply the first law of thermodynamics to the apparent horizon of the universe with the power-law corrected and non-extensive Tsallis entropies rather than the Bekenstein–Hawking one. We examine the cosmological properties in the two entropy models by using the CosmoMC package. In particular, the first numerical study for the cosmological observables with the power-law corrected entropy is performed. We also show that the neutrino mass sum has a non-zero central value with a relaxed upper bound in the Tsallis entropy model comparing with that in the $$\Lambda $$ΛCDM one.

Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model

This paper examines the effects of a new form of the extended generalized uncertainty principle in the Snyder–de Sitter model on the thermodynamics of the Schwarzschild and Reissner–Nordström black holes. Firstly, we present a generalization of the minimal length uncertainty relation with two deformation parameters. Then we obtain the corrected mass–temperature relation, entropy and heat capacity for Schwarzschild black hole. Also we investigate the effect of the corrected uncertainty principle on the thermodynamics of the charged black holes. Our discussion of the corrected entropy involves a heuristic analysis of a particle which is absorbed by the black hole. Finally, we compare the thermodynamics of a charged black hole with the thermodynamics of a Schwarzschild black hole and with the usual forms, that is, without corrections to the uncertainty principle.

Investigation of phase transition of BTZ black hole with Sharma–Mittal entropy approaches

In this paper, we use Bekenstein entropy and study thermodynamic quantities and phase transition for the charged BTZ black hole. Then, we apply the Sharma–Mittal (SM) entropy and calculate some thermodynamic quantities. Here, we note that in case of [Formula: see text], the SM entropy is same as the known corrected entropy. Also, we investigate [Formula: see text] critically and phase transition of this corrected black hole and show that the critical points of corrected black hole are similar to Van der Waals fluid. We compare phase transition of corrected and uncorrected entropies to each other. Finally, we study the effect of SM entropy on the global and local stability in the extended phase space. Here, we also compare the obtained results of corrected entropy with respect to uncorrected entropy.