Related papers: Universal criticality of thermodynamic curvatures for charged AdS black holes

Universal criticality of thermodynamic curvatures for charged AdS black holes

URL: http://arxiv.org/abs/2007.03255v3
Date: Mon, 21 Dec 2020 06:39:22 GMT
Title: Universal criticality of thermodynamic curvatures for charged AdS black holes
Authors: Seyed Ali Hosseini Mansoori, Morteza Rafiee, Shao-Wen Wei
Abstract summary: We analytically study the critical exponents and universal amplitudes of the curvatures at the critical point of the small-large black hole phase transition for the charged AdS black holes. Such universal properties will cast new insight into the thermodynamic geometries and black hole phase transitions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, we analytically study the critical exponents and universal amplitudes of the thermodynamic curvatures such as the intrinsic and extrinsic curvature at the critical point of the small-large black hole phase transition for the charged AdS black holes. At the critical point, it is found that the normalized intrinsic curvature $R_N$ and extrinsic curvature $K_N$ has critical exponents 2 and 1, respectively. Based on them, the universal amplitudes $R_Nt^2$ and $K_Nt$ are calculated with the temperature parameter $t=T/T_c-1$ where $T_c$ the critical value of the temperature. Near the critical point, we find that the critical amplitude of $R_Nt^2$ and $K_Nt$ is $-\frac{1}{2}$ when $t\rightarrow0^+$, whereas $R_Nt^2\approx -\frac{1}{8}$ and $K_Nt\approx-\frac{1}{4}$ in the limit $t\rightarrow0^-$. These results not only hold for the four dimensional charged AdS black hole, but also for the higher dimensional cases. Therefore, such universal properties will cast new insight into the thermodynamic geometries and black hole phase transitions.

Related papers

Finite Temperature Casimir Effect of Scalar Field: Revisit and New Results [6.110491566305613]
We find the analytic expressions of Gibbs free energy, Casimir force, and Casimir entropy for one-dimensional and three-dimensional fields at finite temperature. Results show that the widely used low-temperature approximation of thermal correction of Casimir force, $piTe-pivhbar/aT/2a3$, have large errors with the exact solution.
arXiv Detail & Related papers (2024-10-25T03:02:28Z)
On the $O(\frac{\sqrt{d}}{T^{1/4}})$ Convergence Rate of RMSProp and Its Momentum Extension Measured by $\ell_1$ Norm [59.65871549878937]
This paper considers the RMSProp and its momentum extension and establishes the convergence rate of $frac1Tsum_k=1T. Our convergence rate matches the lower bound with respect to all the coefficients except the dimension $d$. Our convergence rate can be considered to be analogous to the $frac1Tsum_k=1T.
arXiv Detail & Related papers (2024-02-01T07:21:32Z)
Towards the "puzzle" of Chromium dimer Cr$_2$: predicting the Born-Oppenheimer rovibrational spectrum [44.99833362998488]
This paper calculates the potential energy curve for the state $X1Sigma+$ of the Cr$$$ dimer. It is found for the first time for the whole range of internuclear distances $R$.
arXiv Detail & Related papers (2024-01-06T17:00:12Z)
Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
arXiv Detail & Related papers (2023-09-21T18:11:04Z)
Fluctuations in the Entropy of Hawking Radiation [0.0]
We use the gravitational path integral (GPI) to compute the fluctuations of the Hawking radiation entropy around the Page curve. The discrepancy can be attributed to the fact that the black hole Hilbert space dimension is not fixed by the state preparation.
arXiv Detail & Related papers (2023-07-26T02:40:40Z)
Spatial Wavefunctions of Spin [0.0]
We present an alternative formulation of quantum mechanical angular momentum. The wavefunctions are Wigner D-functions, $D_n ms (phi, theta, chi)$. Some implications of the quantum number $n$ for fundamental particles are discussed.
arXiv Detail & Related papers (2023-07-25T15:48:56Z)
A New Look at the $C^{0}$-formulation of the Strong Cosmic Censorship Conjecture [68.8204255655161]
We argue that for generic black hole parameters as initial conditions for Einstein equations, the metric is $C0$-extendable to a larger Lorentzian manifold. We prove it violates the "complexity=volume" conjecture for a low-temperature hyperbolic AdS$_d+1$ black hole dual to a CFT living on a ($d-1$)-dimensional hyperboloid $H_d-1$.
arXiv Detail & Related papers (2022-06-17T12:14:33Z)
Power-like potentials: from the Bohr-Sommerfeld energies to exact ones [77.34726150561087]
Bohr-Sommerfeld Energies (BSE) extracted explicitly from the Bohr-Sommerfeld quantization condition are compared with the exact energies. For physically important cases $m=1,4,6$ for the $100$th excited state BSE coincide with exact ones in 5-6 figures.
arXiv Detail & Related papers (2021-07-31T21:37:50Z)
The curvature-induced gauge potential and the geometric momentum for a particle on a hypersphere [0.46664938579243576]
We show that the momentum for the particle on the hypersphere is the geometric one including the gauge potential. We demonstrate that the momentum for the particle on the hypersphere is the geometric one including the gauge potential.
arXiv Detail & Related papers (2021-03-05T00:44:42Z)
Anharmonic oscillator: a solution [77.34726150561087]
The dynamics in $x$-space and in $(gx)-space corresponds to the same energy spectrum with effective coupling constant $hbar g2$. A 2-classical generalization leads to a uniform approximation of the wavefunction in $x$-space with unprecedented accuracy.
arXiv Detail & Related papers (2020-11-29T22:13:08Z)

This list is automatically generated from the titles and abstracts of the papers in this site.