论文标题
自由能景观上的五维中性高斯广告广告的热力学相变的动态特性
Dynamic properties of thermodynamic phase transition for five-dimensional neutral Gauss-Bonnet AdS black hole on free energy landscape
论文作者
论文摘要
了解热力学相变的动态过程可以为黑洞显微镜特性和结构提供深入的见解。我们在本文中研究了五维中性高斯河网广告黑洞的稳定小型黑洞相变的动态特性。首先，通过使用黑洞的第一定律，我们证明了景观上自由能的极端点表示满足田间方程的真正黑洞解决方案。局部最大和最小点分别对应于局部不稳定和稳定的黑洞状态。尤其是在自由能景观上，共存小和大的黑洞的井具有相同的深度。然后，我们研究了Fokker-Planck方程所控制的概率进化。由于热波动，我们发现小的（大）黑洞状态可以转移到大（小）黑洞状态。此外，计算了第一个通过时间。对于每个温度，都会呈现一个峰，这表明在短时间内发生的第一个通道事件中有很大一部分。温度越高，概率的降低速度更快。这些结果将发现稳定的小型黑洞相变的一些有趣的动态特性。
Understanding the dynamic process of the thermodynamic phase transition can provide the deep insight into the black hole microscopic properties and structures. We in this paper study the dynamic properties of the stable small-large black hole phase transition for the five-dimensional neutral Gauss-Bonnet AdS black hole. Firstly, by using the first law of black holes, we prove that the extremal points of the free energy on the landscape denote the real black hole solutions satisfying the field equations. The local maximal and minimal points correspond to local unstable and stable black hole states, respectively. Especially, on the free energy landscape, the wells of the coexistence small and large black holes have the same depth. Then we investigate the probability evolution governed by the Fokker-Planck equation. Due to the thermal fluctuation, we find that the small (large) black hole state can transit to the large (small) black hole state. Furthermore, the first passage time is calculated. For each temperature, a single peak is presented, which suggests that there is a considerable fraction of the first passage events taking place at short time. And the higher the temperature is, the faster decrease of the probability is. These results will uncover some intriguing dynamic properties of the stable small-large black hole phase transition in modified gravity.
