共查询到20条相似文献,搜索用时 15 毫秒
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以Gibbons-Maeda dilaton黑洞和Garfinkle-Horowitz-Strominger dilaton黑洞为例,研究空间的非对易性对黑洞热力学性质的影响.通过对比对易时空中Gibbons-Maeda dilaton黑洞和非对易时空中Garfinkle-Horowitz-Strominger dilaton黑洞的温度,得出如下结论:从对黑洞热力学性质产生影响这一角度来说,时空的非对易性和黑洞的荷(电荷或磁荷)有相似的作用. 相似文献
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The dynamic phase transition of charged dilaton black holes is investigated in this paper. The Gibbs free energy landscape is introduced, and the corresponding \begin{document}$G_{\rm L}$\end{document} ![]()
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is calculated for the dilaton black hole. We numerically solve the Fokker-Planck equation constrained by only the reflecting boundary condition. The effects of dilaton gravity on the probabilistic evolution of dilaton black holes are explored. Firstly, the horizon radius difference between a large dilaton black hole and a small dilaton black hole increases with the parameter \begin{document}$\alpha$\end{document} ![]()
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. Secondly, with increasing \begin{document}$\alpha$\end{document} ![]()
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, the system needs much more time to achieve a stationary distribution. Finally, the values attained for \begin{document}$\rho(r_{\rm l},t)$\end{document} ![]()
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and \begin{document}$\rho(r_{\rm s},t)$\end{document} ![]()
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vary with \begin{document}$\alpha$\end{document} ![]()
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. Additionally, by resolving the Fokker-Planck equation constrained by both the reflecting boundary condition and absorbing boundary condition, we investigate the first passage process of dilaton black holes. The initial peak decays more slowly with increasing\begin{document}$\alpha$\end{document} ![]()
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, which can also be observed via the slowing decay of \begin{document}$\Sigma(t)$\end{document} ![]()
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(the sum of the probability of the black hole system not having completed a first passage by time t). Moreover, the time corresponding to the single peak of the first passage time distribution is found to increase with the parameter \begin{document}$\alpha$\end{document} ![]()
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. Considering these observations, the dilaton field is found to slow down the dynamic phase transition process between a large black hole and a small black hole. 相似文献
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Z. Dayyani A. Sheykhi M. H. Dehghani S. Hajkhalili 《The European Physical Journal C - Particles and Fields》2018,78(2):152
In this paper, we take into account the dilaton black hole solutions of Einstein gravity in the presence of logarithmic and exponential forms of nonlinear electrodynamics. First of all, we consider the cosmological constant and nonlinear parameter as thermodynamic quantities which can vary. We obtain thermodynamic quantities of the system such as pressure, temperature and Gibbs free energy in an extended phase space. We complete the analogy of the nonlinear dilaton black holes with the Van der Waals liquid–gas system. We work in the canonical ensemble and hence we treat the charge of the black hole as an external fixed parameter. Moreover, we calculate the critical values of temperature, volume and pressure and show that they depend on the dilaton coupling constant as well as on the nonlinear parameter. We also investigate the critical exponents and find that they are universal and independent of the dilaton and nonlinear parameters, which is an expected result. Finally, we explore the phase transition of nonlinear dilaton black holes by studying the Gibbs free energy of the system. We find that in the case of \(T>T_c\), we have no phase transition. When \(T=T_c\), the system admits a second-order phase transition, while for \(T=T_\mathrm{f}<T_c\) the system experiences a first-order transition. Interestingly, for \(T_\mathrm{f}<T<T_c\) we observe a zeroth-order phase transition in the presence of a dilaton field. This novel zeroth-order phase transition occurs due to a finite jump in the Gibbs free energy which is generated by the dilaton–electromagnetic coupling constant, \(\alpha \), for a certain range of pressure. 相似文献
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W.H. Zurek 《Physics letters. A》1980,77(6):399-403
The mass of a Schwarzschild black hole in equilibrium with black-body radiation is shown to undergo a random drift with a diffusion coefficient D ~ M-3. This follows from the master equation for the radiation in a stochastically bistable system of a black hole in an isolating cavity. 相似文献
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Hawking radiation viewed as a semi-classical tunneling process of charged particles from the event horizon of the Garfinkle–Horne dilaton black hole is investigated by taking into account not only energy conservation but also electric charge conservation. Our results show that when the effect of the emitted massive charged particle's self-gravitation is incorporated, the tunneling rate is related to the change of the black hole's Bekenstein–Hawking entropy and the emission spectrum deviates from the purely thermal spectrum. 相似文献
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利用Parikh 和 Wilczek的隧穿模型,在Gibbons-Maeda dilaton 黑洞时空中,通过计算带有电荷和磁荷的粒子在事件视界上的隧穿概率,研究了该黑洞的Hawking辐射.在粒子的隧穿过程中,强调了时空的能量守恒和电磁荷守恒,考虑了隧穿粒子对背景时空的反作用.计算表明,在Gibbons-Maeda dilaton 黑洞时空中,带电磁荷的粒子通过事件视界的隧穿概率取决于粒子出射前后黑洞熵的变化.这表示,黑洞辐射过程中可以满足信息守恒和量子理论的幺正性.
关键词:
黑洞
霍金辐射
量子理论 相似文献
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Starting from the Einstein-Boltzmann formula we determine classically the second moments for the fluctuations of a massive Schwarzschild black hole enclosed with thermal radiation in a rigid box. 相似文献
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Liu ChengZhou 《中国科学G辑(英文版)》2008,51(2):113-125
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In this study, we obtained an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We found that the Smarr formula and the first law of black hole thermodynamics can still be constructed in this Lorentz symmetry breaking black hole spacetime, but the conceptions of the black hole horizon area/entropy and the volume inside the horizon should be renewed due to its anisotropy. We also found that two types of phase transition exist: small-large black hole phase transition and Hawking-Page phase transition, like those of the Schwarzschild AdS black hole. After Lorentz symmetry breaking, the black hole mass at the divergent point of heat capacity becomes small, and the Gibbs free energy of the meta-stable large black hole is also smaller, showing that the large stable black hole can be more easily formed. 相似文献
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The entropy density, energy density, pressure and equation
of state around the RNAdS black hole are calculated in the WKB
approximation on the Teukolsky-type master equation. The
appearance of spin-dependent terms is demonstrated. The existence
of these terms shows that the black hole radiation is not exactly
thermal radiation and the black hole entropy is not strictly proportional to
the area of the event horizon. 相似文献
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S. Estrada-Jiménez J. R. Gómez-Díaz A. López-Ortega 《General Relativity and Gravitation》2013,45(11):2239-2250
For a two-dimensional black hole we determine the quasinormal frequencies of the Klein–Gordon and Dirac fields. In contrast to the well known examples whose spectrum of quasinormal frequencies is discrete, for this black hole we find a continuous spectrum of quasinormal frequencies, but there are unstable quasinormal modes. In the framework of the Hod and Maggiore proposals we also discuss the consequences of these results on the form of the entropy spectrum for the two-dimensional black hole. 相似文献