论文标题
自由能景观上欧拉 - 黑洞的热力学相变
Thermodynamic phase transition of Euler-Heisenberg-AdS black hole on free energy landscape
论文作者
论文摘要
我们研究了基于自由能景观的Euler-Heisenberg-Ads黑洞的一阶相变。通过求解fokker-Planck方程，我们研究了系统状态的概率分布。由于温度$ t $或Euler-Heisenberg参数$ a $的变化，小（大）黑洞可能有机会切换到大（小）黑洞。较高的（下）$ t $对应于大（小）黑洞的较大概率。可以在某些情况下获取并存的小黑洞和大型黑洞状态。对于$ 0 <a \ leq \ frac {32} {7} Q^2 $，可以用小$ a $获得小型的黑洞相变。对于大$ a $，小（大）黑洞的可能性将减少到零。对于小$ a $，可以使用最初的小（大）黑洞状态以更高（较低）$ t $或更小（更大）$ a $获得第一个通道时间的较高峰值。对于$ a <0 $，较小的（较大）$ a $对应于大（小）黑洞的较大概率。对于较高（较低）$ t $或更小（更大）$ a $，初始小（大）黑洞状态也可以获得第一个通道时间的较高峰值。
We study the first order phase transition of Euler-Heisenberg-AdS black hole based on free energy landscape. By solving the Fokker-Planck equation, we research the probability distribution of the system states. The small (large) black hole can have the chance to switch to the large (small) black hole due to the change of the temperature $T$ or Euler-Heisenberg parameter $a$. A higher (lower) $T$ corresponds to a larger probability for a large (small) black hole. The coexistent small and large black hole states can be acquired for some conditions. For $0< a\leq \frac{32}{7} Q^2 $, the small-large black hole phase transition can be acquired with a small $a$. The probability of small (large) black holes will decrease to zero for a large $a$. For a small $a$, a higher peak of the first passage time can be acquired for higher (lower) $T$ or smaller (larger) $a$ with the initial small (large) black hole state. For $a<0$, a smaller (larger) $a$ corresponds to a larger probability for a large (small) black hole. A higher peak of the first passage time can also be obtained for higher (lower) $T$ or smaller (larger) $a$ with initial small (large) black hole state.
