f(R)-CIM AdS时空的相变及P-v临界性

Phase transitions and P-v criticality of f(R)-CIM AdS spacetime

近年来,f(R)-CIM AdS度规引起了人们的普遍关注。f(R)-CIM AdS度规带有引力修正参数,会对热力学性质产生重要影响,因而,研究在延伸相空间中的f(R)-CIM AdS时空的相变和临界性是一项非常有意义的工作。主要计算了在延伸相空间f(R)-CIM AdS时空的温度、压强、吉布斯自由能及二阶相变的临界值,并根据这些热力学量的表达式和临界值绘制出了相关的P-v相图及不同状态下的G-T图像,详细探讨了f(R)-CIM AdS时空的相变和P-v临界性,进一步讨论了其全局热力学稳定性。研究结果表明f(R)-CIM AdS时空会发生类似于恒温下气-液流体系统的范德瓦尔斯相变。

The studies of thermodynamic phase transitions have been done due to their abundant phase structure in AdS spacetime.Recently,the metric of f(R)-CIM AdS has attracted widespread attention.The metric of f(R)-CIM AdS with gravitational modification parameters will have important effects on the thermodynamic properties,so it is very interesting to study the phase transition and criticality in f(R)-CIM AdS space-time in the extended phase space.In this paper,in the extended phase space,we mainly calculate the temperature,pressure,Gibbs free energy,and critical values of the second order phase transition.Based on the expression of these thermodynamic quantities and critical values,the relevant P-v phase diagram and the G-T images in different states are drawn,and the phase transition and P-v criticality of f(R)-CIM AdS space-time are explored in detail.The global thermodynamic stability is further discussed.It is shown that a van der Waals phase transition is presented which is similar to the gas-liquid fluid system at constant temperature.