论文标题
用Lyapunov指数探测黑洞的相结构
Probing Phase Structure of Black Holes with Lyapunov Exponents
论文作者
论文摘要
我们猜想Lyapunov指数与黑洞相变之间存在关系。为了支持我们的猜想，计算了Reissner-Nordström-Ads黑洞的颗粒和环弦运动的Lyapunov指数。当发生相变时，Lyapunov指数将变为多估，而Lyapunov指数的分支与黑洞相一致。此外，Lyapunov指数的不连续变化可以视为订单参数，并且在关键点附近的关键指数为$ 1/2 $。我们的发现表明，Lyapunov指数可以是研究黑洞相结构的有效工具。
We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for Reissner-Nordström-AdS black holes. When a phase transition occurs, the Lyapunov exponents become multivalued, and branches of the Lyapunov exponents coincide with black hole phases. Moreover, the discontinuous change in the Lyapunov exponents can be treated as an order parameter, and has a critical exponent of $1/2$ near the critical point. Our findings reveal that Lyapunov exponents can be an efficient tool to study phase structure of black holes.
