论文标题
能源和熵补偿，四维带电的高斯抗DE抗DE保姆在下面的自由能景观上的黑洞的相变和动力学
Energy and entropy compensation, phase transition and kinetics of four dimensional charged Gauss-Bonnet Anti-de Sitter black holes on the underlying free energy landscape
论文作者
论文摘要
我们根据自由能景观研究了GB重力中四维充电广告黑洞的相变和动力学。在临界温度以下，自由能景观地形具有双盆地的形状，每个盆地代表一个稳定/不稳定的黑洞相。热力学小/大黑洞相变由盆地的相等深度确定。我们还通过研究状态在集合中的概率分布以及MFPT以及由热波动引起的状态切换过程的动力学波动来证明相变的基本动力学。最终分布由Boltzmann定律确定，MFPT及其波动与通过屏障高度和集成温度的自由能景观地形密切相关。此外，我们提供了具有不同物理参数的相变动力学的完整描述。自由能是两个相对较大数字之间微妙平衡和竞争的结果，即能量和熵乘以温度。低能和低熵可以从最小自由能（能量/质量首选）而产生稳定的热力学状态，而高能和高熵也可以在自由能最小值方面产生稳定的状态。当GB耦合常数增加，或者电荷（电势）增加，或者压力（宇宙常数的绝对值）减小时，小黑洞状态更容易逃到大黑洞状态。同时，逆过程变得越来越困难，即小（大）黑洞状态变得更少（更）稳定。
We study the phase transition and the kinetics of the four dimensional charged AdS black hole in GB gravity based on the free energy landscape. Below the critical temperature, the free energy landscape topography has the shape of double basins with each representing one stable/unstable black hole phase. The thermodynamic small/large black hole phase transition is determined by the equal depths of the basins. We also demonstrate the underlying kinetics of the phase transition by studying the time evolution of the probability distribution of the state in the ensemble as well as the MFPT and the kinetic fluctuation of the state switching process caused by the thermal fluctuations. The final distribution is determined by the Boltzmann law and the MFPT and its fluctuation are closely related to the free energy landscape topography through barrier heights and ensemble temperature. Furthermore, we provide a complete description of the kinetics of phase transition with different physical parameters. The free energy is the result of the delicate balance and competition between the two relatively large numbers, the energy and entropy multiplied by temperature. Low energy and low entropy can give rise to a stable thermodynamic state in terms of free energy minimum (energy/mass preferred) while the high energy and high entropy can also give rise to a stable state in terms of free energy minimum. When the GB coupling constant increases, or the electric charge (potential) increases, or the pressure (absolute value of cosmological constant) decreases, it is easier for the small black hole state to escape to the large black hole state. Meanwhile, the inverse process becomes harder, i.e. the small (large) black hole state becomes less (more) stable.
