Narrow Results

In this paper, we investigate the quantum corrected black hole’s thermodynamic properties in this paper. To assess the local and global thermodynamic stability, we compute a number of indicators such as the geometric mass, heat capacity, Hawking temperature, thermodynamic temperature, Gibbs free energy, and energy emission. The fundamental law of thermodynamics determines the temperature of the black hole. Our results ensure the overall thermal stability of the black hole solution. Our results for Gibbs free energy and heat capacity show the phase transition behavior of the black hole.

Alloy nanoclusters are of interest because of their novel properties compared to bulk alloys. In this study, the thermal behavior of 13- and 19-atom Pd–Co binary clusters has been investigated by parallel tempering Monte Carlo technique using the Sutton–Chen many body potential. Clear changes in heat capacity curve are observed as a function of Pd–Co composition. We also found that, the 13-atom cluster melts in two stages and 19-atom cluster melts as a whole.

According to Barrow, the impact of quantum-gravitation changes the standard relation of entropy $S=\frac{A}{4}$ to $S=A^{1+\frac{\delta }{2}}$, where $A$ is actual area and $\delta$ represents the quantum-gravitational deformation effects. Keeping in mind the importance of entropy in the thermodynamics of BHs, we study the impact Barrow entropy on the thermodynamics of charged AdS BH with global monopole. We derive and plot many thermodynamical quantities of charged AdS BHs like temperature, entropy, pressure, Helmholtz free energy, Gibbs free energy, heat capacity of the system at constant pressure and volume. We study critical behavior, phase transition and thermal stability of the BH. We find out that more useful work can be extracted from the BH by using Barrow’s entropy. We also observe that Barrow entropy rapidly increases the Gibbs free energy of BH which leads to more stable behavior as compared to standard relation of entropy. We also discuss charged BH as heat engine and find out the efficiency of the BH.

One of the staple objectives of theoretical physics is to establish a reliable theory of quantum gravity. To achieve this goal, some fundamental scales are proposed in the modern era, e.g. two scales are proposed in the Snyder–de Sitter model. These two scales relate to measurement limits of the position and momentum. In this paper, we study the thermodynamic properties of the higher-dimensional Schwarzschild black hole in the context of rainbow gravity in the Snyder–de Sitter model within the presence and absence of rainbow gravity and compare our results for $d=4$ with the results which are already derived in the previous literature [B. Hamil and B. C. Lütfüoğlu, Int. J. Geom. Methods Mod. Phys. 19, 2250047 (2022)]. We find the existence of the remnant temperature of the concerned black hole. Unlike the four-dimensional Schwarzschild black hole, the black hole in higher dimensions $(d>4)$ has two remnant temperatures. Moreover, we observe that in the rainbow gravity background a nonzero lower bound value of the temperature of the black hole exists. Finally, we analyze the thermal stability remnant conditions of the black hole by computing the heat capacity within this model.

It is pointed out that the equivalence of the Nernst theorem and the heat capacity statement of the third law of thermodynamics can be mathematically proved through a simple method.

The interplay between adiabatic cooling and isothermal ordering is analyzed to rebut the proof of the equivalence of the Nernst theorem and the heat capacity statement of the third law presented by Su and Chen.

A modified Hayward metric of magnetically charged black hole space–time based on rational nonlinear electrodynamics with the Lagrangian ${ℒ}=-{ℱ}/(1+2\beta {ℱ})$ is considered. We introduce the fundamental length, characterizing quantum gravity effects. If the fundamental length vanishes the general relativity coupling to rational nonlinear electrodynamics is recovered. We obtain corrections to the Reissner–Nordström solution as the radius approaches infinity. The metric possesses a de Sitter core without singularities as $r\to 0$. The Hawking temperature and the heat capacity are calculated. It was shown that phase transitions occur and black holes are thermodynamically stable at some event horizon radii. We demonstrate that curvature invariants are bounded and the limiting curvature conjecture takes place.

In this paper, the tunneling of fermions across the event horizon of rotating BTZ black hole is investigated by using Dirac equation in the presence of quantum gravity effects, WKB approximation and Feynman prescription. The tunneling probability and the modified Hawking temperature near the event horizon of rotating BTZ black hole are obtained. The quantum gravity effects reduce the rise of Hawking temperature of rotating BTZ black hole. The correction to the Bekenstein–Hawking entropy and the heat capacity near the event horizon of rotating BTZ black hole are also discussed.

This work examines the magnetized black holes of Lovelock gravity in the presence of double-logarithmic electrodynamics. In this context, the Lovelock polynomial is found and the accompanying thermodynamic quantities, such as mass, entropy, Hawking temperature, and heat capacity, are determined. This new model of nonlinear electrodynamics is used to calculate the black hole solutions of Einstein, Gauss–Bonnet and third-order Lovelock gravities as well. The impacts of the double-logarithmic electromagnetic field on the black hole thermodynamics in these particular theories are examined and the regions of horizon radius that correspond to the local thermodynamic stability are highlighted.

In this paper, tunneling of fermions from rotating BTZ black hole is investigated using modified dispersion relation (MDR) and Rarita–Schwinger equation. The effect of MDR on the tunneling of fermions raises the Hawking temperature of rotating BTZ black hole. It is observed that the modified Hawking temperature of the black hole depends not only on the radial parameters of the black hole but also on the angular parameters of the black hole and the coupling constant $\sigma$. Further, the entropy and the heat capacity of the black hole are also studied.

We present characteristic functions, thermal equation of state and heat capacity at constant volume for nondegenerate relativistic quantum gases without and with generation and annihilation of particle-antiparticle pairs. For some physical quantities, nonrelativistic and ultrarelativistic expressions are analysed.

Observed temperature-dependent heat capacity C (T) behavior of high-T_cYBa₂Cu₃O_7-δ cuprate superconductors has been theoretically analyzed in the temperature domain 70 ≤ T ≤ 110 K. Calculations of C (T) have been made within the two component scheme: one is the Fermionic term and the other the Bosonic (phonon) contribution. While estimating the electronic term, we use a mean field step and follow two-fluid model below and above T_c. Later on, the lattice heat capacity is estimated within harmonic approximation for high temperature expansion (T > θ/2π), the model has only one free parameter, the moments of phonon density of states. Within the two-fluid model for electronic specific heat along with reported γ value leads to a sharp discontinuity at T_c. The Coulomb correlations and electron-phonon coupling strength have significant implications on the γ. Henceforth, the present numerical analysis of specific heat from the present model shows similar results as those revealed from experiments. The accurate fitting of the specific heat data reveals that it is possible to decompose the documented specific heat into dominant lattice contribution and electronic channel. However, the specific heat from electronic term is only a fraction of lattice specific heat in YBa₂Cu₃O_7-δ high-T_c superconductors.

We evaluate analytically and numerically the density of states (DOS) and the heat capacity in a spherical quantum dot formed by a spherical thin barrier. The control of the spherical barrier thickness or the potential barrier height is found to cause the dimensional transition from the three-dimensional (3D) behavior to the quasi-zero dimensional (Q0D) behavior in the DOS and the heat capacity. When the barrier is thick enough, the DOS shows the Q0D-like behavior but when the barrier is thin enough to allow electrons to tunnel through it, the temperature dependence of the heat capacity exhibits quite a distinct behavior depending on the electron density. Explicit numerical plots are given in the low density regime.

In this work, the heat capacity in dimensionally quantized semiconductor thin films with Kane's dispersion law is investigated. Under certain conditions, quantum size effect occurs, depending on the thickness of the thin film, the concentration of conductive electrons, and the non-parabolicity parameters. In thin films having non-parabolic energy spectrum in degenerate electron gas, the film thickness depends on the subband number and the concentration. Therefore, heat capacity takes the form of the saw toothwise and changes as non-monotonous.

The aim of this paper is to provide validity and reliable analytical relation for the thermodynamic functions calculated in terms of the Debye temperature using incomplete gamma functions, and examines the entropy and specific heat capacity of hexagonal single crystals of GaN in the 0–1800 K temperature range. The obtained results have been compared with the corresponding experimental and theoretical results. Our results are in excellent agreement with the theoretical results over the entire temperature range. It has also shown that at low temperature, our results are in very good agreement with the experimental results, however, at high temperature, our results are lower than other experimental results.

The density function perturbation theory (DFPT) is employed to study the linear thermal expansion and heat capacity at constant pressure (with the quasiharmonic approximation). The calculations are performed using a pseudopotential plane wave method and local density approximation for the exchange-correlation potential. The calculated results of linear thermal expansion coefficient and heat capacity at constant pressure for zinc-blende ZnS, ZnSe are compared with the available experimental data in a wide temperature range. Generally, in low-temperature range, they have good agreement. However, in high-temperature range, due to anharmonic effect and other reasons, lead to larger errors for these properties between the theoretical results and available experimental data.

The thermodynamics of a superconductor, with pairing and quartet-binding BCS-type attractions V_BCS and V, is investigated in the strong-coupling limit. The coupled equations for the gap parameters Δ_G, Δ_g, corresponding to both potentials, are solved and the thermodynamic functions are computed for varying coupling constant g₀ of the quartet attraction V. Some untypical thermal properties of tin, mercury, and high-T_c superconductors, which have not been fully explained by theory, are found to agree with this strong-coupling thermodynamics. Sufficiently strong V eliminates the BCS pairing potential and the conducting fermions behave as if they were interacting only via V. The structure of the condensate at T = 0 is studied and shown to consist almost exclusively of Cooper pairs if g₀ ≤ 0.2G₀ (G₀ denoting the coupling constant of V_BCS), whereas if g₀ > 2G₀, all fermions merge into quartets.

Using the generalized Fermi–Dirac distribution function arising from Tsallis statistical mechanics, we revisit the Sommerfeld model for metallic elements. The chemical potential, the total energy and the heat capacity are calculated. It is shown that the linearity between the heat capacity and the temperature is q-dependent, where q stands for the entropic index. In the limit q→1, the results of the usual model are recovered. Comparisons are made with experimental data and with the values of the usual model. The Pauli magnetic susceptibility is found not affected by the electron nonextensivity. Our results suggest that we can rely on the generalized nonextensive Sommerfeld model to expect achievement of reasonable agreement between theory and experiment. They may aid to constrain the values of the nonextensive parameter q for metallic elements and to determine more clearly the reality of nonextensive effects.

Classical molecular dynamics simulation calculations of silver bromide, AgBr, and silver chloride, AgCl. in constant volume–energy (NVE) and constant pressure–temperature (NPT) ensembles have been performed. The temperature dependence of linear thermal expansion and molar heat capacities at constant volume and pressure have been presented at solid and liquid phases. The anomalous behavior of these properties about 200 K below the melting temperatures has been analyzed within the frame of the onset of the transition to the superionic phase.

In order to discuss the stability of the gapless features in the spin liquid state against magnetic fields, we report results and analyses of low-temperature heat capacity measurements of EtMe₃Sb[Pd(dmit)₂]₂ under magnetic fields. The large upturn of $C_p{T}^{-1}$ at 0 T observed previously in EtMe₃Sb[Pd(dmit)₂]₂ can be attributed to the rotational tunneling of the methyl groups in the counter cations and this upturn is suppressed by applying magnetic fields. The phenomenological resemblance of the feature under magnetic field was confirmed by comparative discussion of heat capacity measurement of metal complex of [Cu(acac)(OCH${}_3)$]₂ having similar methyl groups. The gapless character evidenced by the finite electronic heat capacity coefficient, $\gamma$ was found to be retained upon applying 17 T in EtMe₃Sb[Pd(dmit)₂]₂, which means that spin liquid ground state is stable against high magnetic fields. The finite $\gamma$ in the spin liquid compounds is considered to be related to a kind of density of states in spin excitations rather than those determined by disorders such as spin glasses.