Complexity Growth, Butterfly Velocity and Black hole Thermodynamics
arXiv:1711.09749 · doi:10.1016/j.aop.2020.168244
Abstract
We propose a connection between the butterfly velocity and the complexity growth rate in the context of thermodynamics of black holes where the cosmological constant is interpreted as thermodynamic pressure. According to the Smarr formula of black hole systems, there are different relations between butterfly velocity and complexity growth rate. The accuracy of this relationship has been checked for several models.
10 pages, 1 figure, major changes, to be appeared in AOP (Annals of physics)