Understanding the thermodynamic phase transition of black holes can provide deep insights into the fundamental properties of black hole gravity and help to establish quantum gravity.In this work,we investigate the pha...Understanding the thermodynamic phase transition of black holes can provide deep insights into the fundamental properties of black hole gravity and help to establish quantum gravity.In this work,we investigate the phase transition and its dynamics for the charged EPYM AdS black hole.Through reconstructing Maxwell's equal-area law,we find there exists a high-/low-potential black hole(HPBH/LPBL)phase transition,not only the pure large/small black hole phase transition.The Gibbs free energy landscape(G_(L))is treated as a function of the black hole horizon,which is the order parameter of the phase transition due to thermal fluctuation.From the viewpoint of G_(L),the stable HPBH/LPBL states correspond to two wells of G_(L),which have the same depth.The unstable intermediate-potential black hole state corresponds to the local maximum of G_(L).Then we focus on the probability evolution governed by the Fokker-Planck equation.Through solving the Fokker-Planck equation with different reflection/absorption boundary conditions and initial conditions,the dynamics of switching between the coexistent HPBH and LPBL phases is probed within the first passage time.Furthermore,the effect of temperature on the dynamic properties of the phase transition is also investigated.展开更多
It is well known that when vacuum polarization emerges in quantum electrodynamics,the non-linear interaction between electromagnetic fields should be considered.Moreover,the corresponding field of non-linear electrody...It is well known that when vacuum polarization emerges in quantum electrodynamics,the non-linear interaction between electromagnetic fields should be considered.Moreover,the corresponding field of non-linear electrodynamics can have important effects on black hole physics.In this work,we focus on the relationship between an observable quantity,that is,the shadow radius,and the first-order phase transition of non-linear charged AdS black holes in the framework of Einstein-power-Yang-Mills gravity.The results show that,under a certain condition,there exists a first-order phase transition from the viewpoint of both the shadow radius and horizon radius,which depend on temperature(or pressure).From the viewpoint of the shadow radius,the phase transition temperature is higher than that from the viewpoint of the horizon radius under the same condition.This may be due to the non-linear Yang Mills charge and the gravitational effect.This indicates that the shadow radius can be regarded as a probe to reveal the thermodynamic phase transition information of black holes.The thermal profiles of coexistent large and small black hole phases when the system is undergoing the phase transition are presented for two different values of the non-linear Yang Mills charge parameter:γ=1,1.5.Furthermore,the effects of the non-linear Yang Mills charge parameter on the shadow radius and thermal profile are investigated.展开更多
基金Supported by the National Natural Science Foundation of China(11705106,11475107,12075143)the Natural Science Foundation of Shanxi Province,China(201901D111315)+2 种基金the Natural Science Foundation for Young Scientists of Shanxi Province,China(201901D211441)the Scientific Innovation Foundation of the Higher Education Institutions of Shanxi Province(2020L0471,2020L0472,2016173)the Science Technology Plan Project of Datong City,China(2020153)。
文摘Understanding the thermodynamic phase transition of black holes can provide deep insights into the fundamental properties of black hole gravity and help to establish quantum gravity.In this work,we investigate the phase transition and its dynamics for the charged EPYM AdS black hole.Through reconstructing Maxwell's equal-area law,we find there exists a high-/low-potential black hole(HPBH/LPBL)phase transition,not only the pure large/small black hole phase transition.The Gibbs free energy landscape(G_(L))is treated as a function of the black hole horizon,which is the order parameter of the phase transition due to thermal fluctuation.From the viewpoint of G_(L),the stable HPBH/LPBL states correspond to two wells of G_(L),which have the same depth.The unstable intermediate-potential black hole state corresponds to the local maximum of G_(L).Then we focus on the probability evolution governed by the Fokker-Planck equation.Through solving the Fokker-Planck equation with different reflection/absorption boundary conditions and initial conditions,the dynamics of switching between the coexistent HPBH and LPBL phases is probed within the first passage time.Furthermore,the effect of temperature on the dynamic properties of the phase transition is also investigated.
基金Supported by the National Natural Science Foundation of China(12075143)。
文摘It is well known that when vacuum polarization emerges in quantum electrodynamics,the non-linear interaction between electromagnetic fields should be considered.Moreover,the corresponding field of non-linear electrodynamics can have important effects on black hole physics.In this work,we focus on the relationship between an observable quantity,that is,the shadow radius,and the first-order phase transition of non-linear charged AdS black holes in the framework of Einstein-power-Yang-Mills gravity.The results show that,under a certain condition,there exists a first-order phase transition from the viewpoint of both the shadow radius and horizon radius,which depend on temperature(or pressure).From the viewpoint of the shadow radius,the phase transition temperature is higher than that from the viewpoint of the horizon radius under the same condition.This may be due to the non-linear Yang Mills charge and the gravitational effect.This indicates that the shadow radius can be regarded as a probe to reveal the thermodynamic phase transition information of black holes.The thermal profiles of coexistent large and small black hole phases when the system is undergoing the phase transition are presented for two different values of the non-linear Yang Mills charge parameter:γ=1,1.5.Furthermore,the effects of the non-linear Yang Mills charge parameter on the shadow radius and thermal profile are investigated.
