Van der Waals phase transition in the framework of holography
Xiao-Xiong Zeng (Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, China, State School of Material Science and Engineering, Chongqing Jiaotong University, Chongqing, 400074, China); Li-Fang Li (State Key Laboratory of Space Weather, National Space Science Center, Chinese Academy of Sciences, Beijing, 100190, China)
Phase structure of the quintessence Reissner–Nordström–AdS black hole is probed by the nonlocal observables such as holographic entanglement entropy and two point correlation function. Our result shows that, as the case of the thermal entropy, both the observables exhibit the Van der Waals-like phase transition. To reinforce this conclusion, we further check the equal area law for the first order phase transition and critical exponent of the heat capacity for the second order phase transition. We also discuss the effect of the state parameter on the phase structure of the nonlocal observables.