Using the Melnikov method,the phenomenon of thermal chaos under periodic perturbation in the extended phase space of the modified thermodynamics of Kerr-AdS black holes is investigated.On the(P,v)section in the extend...Using the Melnikov method,the phenomenon of thermal chaos under periodic perturbation in the extended phase space of the modified thermodynamics of Kerr-AdS black holes is investigated.On the(P,v)section in the extended phase space,it is shown that temporal chaos will appear in the unstable spinodal region when the perturbation amplitude is larger than critical value δ_(c)^(Pv).We findδ_(c)^(Pv) is monotonically decreasing with respect to the angular momentum parameter a,which implies a large a leads to chaotic behavior more easily under time-periodic thermal perturbation.Similarly,on the(Ω_(H),J)section,we show there exists a critical value δ_(c)^(ΩJ) which depends on the cosmological parameter l=√-3/Λ.When the perturbation amplitude exceeds δ_(c)^(ΩJ),temporal chaos occurs.As l increases,chaos becomes easier.For spatial perturbation,chaos always exists irrespective of perturbation amplitude in both the(P,v)section and(Ω_(H),J)section.展开更多
In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames....In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.展开更多
In this paper,we investigate three types of heat engines for the rotating Kerr-Anti de Sitter(Kerr-AdS)black hole.We first briefly review the thermodynamics and phase structure of the Kerr-AdS black hole and obtain th...In this paper,we investigate three types of heat engines for the rotating Kerr-Anti de Sitter(Kerr-AdS)black hole.We first briefly review the thermodynamics and phase structure of the Kerr-AdS black hole and obtain the phase structure in the T-S chart.The thermal stability of Kerr-AdS black holes,along with their dependence on various parameters,is thoroughly examined.Then,by utilizing the phase diagram,we consider three types of heat engines:the maximal Carnot engine,Stirling engine,and Rankine engine.We calculate both the work and efficiency for these engines.The results indicate that angular momentum has a significant influence on these heat engines.展开更多
In this study,we investigate the critical phenomena of Kerr-AdS black holes under the modified first law of thermodynamics.Specifically,we considered modified black hole thermodynamics that exhibit a van der Waalslike...In this study,we investigate the critical phenomena of Kerr-AdS black holes under the modified first law of thermodynamics.Specifically,we considered modified black hole thermodynamics that exhibit a van der Waalslike phase structure.All critical exponents were calculated,and then,a swallowtail diagram of free energy was plotted.Comparing with existing results,the main difference is the correspondence between the thermal quantities of Kerr-AdS black holes and the van der Waals system.In a previous study[Y.D.Tsai,X.N.Wu,and Y.Yang,Phys.Rev.D 85044005(2012)],the correspondence was(Ω_(H),J)→(V,P),while in our study,the correspondence was(J,Ω_(H))→(V,P).This difference was owing to the rotating effect.The modified black hole thermodynamics were associated with rotating observers.The free energy in such a reference contains extra rotating energy,which induces a Legendre transformation in the(Ω_(H),J)cross-section,causing the difference in correspondence.展开更多
Based on the Melnikov method,we investigate chaotic behaviors in the extended thermodynamic phase space for a slowly rotating Kerr-AdS black hole under temporal and spatial perturbations.Our results show that the temp...Based on the Melnikov method,we investigate chaotic behaviors in the extended thermodynamic phase space for a slowly rotating Kerr-AdS black hole under temporal and spatial perturbations.Our results show that the temporal perturbation coming from a thermal quench of the spinodal region in the phase diagram may cause temporal chaos only when the perturbation amplitude is above a critical value,which involves the angular momentum J.Under the spatial perturbation,however,it is found that spatial chaos always occurs,independent of the perturbation amplitude.展开更多
基金supported by the special foundation for Guangxi Ba Gui Scholars and Junwu Scholars of Guangxi Universitysupported by the National Natural Science Foundation of China(Grant No.12475049)。
文摘Using the Melnikov method,the phenomenon of thermal chaos under periodic perturbation in the extended phase space of the modified thermodynamics of Kerr-AdS black holes is investigated.On the(P,v)section in the extended phase space,it is shown that temporal chaos will appear in the unstable spinodal region when the perturbation amplitude is larger than critical value δ_(c)^(Pv).We findδ_(c)^(Pv) is monotonically decreasing with respect to the angular momentum parameter a,which implies a large a leads to chaotic behavior more easily under time-periodic thermal perturbation.Similarly,on the(Ω_(H),J)section,we show there exists a critical value δ_(c)^(ΩJ) which depends on the cosmological parameter l=√-3/Λ.When the perturbation amplitude exceeds δ_(c)^(ΩJ),temporal chaos occurs.As l increases,chaos becomes easier.For spatial perturbation,chaos always exists irrespective of perturbation amplitude in both the(P,v)section and(Ω_(H),J)section.
基金supported by the National Natural Science Foundation of China(Grant Nos.11505036 and 11275157)partially supported by the Science Fund from the Technology Department of Guizhou Province,China(Grant No.(2016)1104)
文摘In this note, the off-shell generalized Abbott-Deser-Tekin （ADT） formalism is applied to explore the mass of Kerr- anti-de Sitter （Kerr-AdS） black holes in various dimensions within asymptotically rotating frames. The cases in four and five dimensions are explicitly investigated. It is demonstrated that the asymptotically rotating effect may make the charge non-integrable or unphysical when the asymptotic non-rotating timelike Killing vector associated with the charge is allowed to vary and the fluctuation of the metric is determined by the variation of all the mass and rotation parameters. To obtain a physically meaningful mass, it is proposed that one can let the non-rotating timelike Killing vector be fixed or perform calculations in the asymptotically static frame. The results further support that the ADT formalism is background- dependent.
基金supported by the Natural Science Foundation of Hunan Province,China(Grant No.2022JJ40033)the National Natural Science Foundation of China(Grant No.12305061)
文摘In this paper,we investigate three types of heat engines for the rotating Kerr-Anti de Sitter(Kerr-AdS)black hole.We first briefly review the thermodynamics and phase structure of the Kerr-AdS black hole and obtain the phase structure in the T-S chart.The thermal stability of Kerr-AdS black holes,along with their dependence on various parameters,is thoroughly examined.Then,by utilizing the phase diagram,we consider three types of heat engines:the maximal Carnot engine,Stirling engine,and Rankine engine.We calculate both the work and efficiency for these engines.The results indicate that angular momentum has a significant influence on these heat engines.
基金Supported by the Special Foundation for Guangxi Ba Gui Scholars and Junwu Scholars of Guangxi Universitysupported by the National Natural Science Foundation of China(12275350)。
文摘In this study,we investigate the critical phenomena of Kerr-AdS black holes under the modified first law of thermodynamics.Specifically,we considered modified black hole thermodynamics that exhibit a van der Waalslike phase structure.All critical exponents were calculated,and then,a swallowtail diagram of free energy was plotted.Comparing with existing results,the main difference is the correspondence between the thermal quantities of Kerr-AdS black holes and the van der Waals system.In a previous study[Y.D.Tsai,X.N.Wu,and Y.Yang,Phys.Rev.D 85044005(2012)],the correspondence was(Ω_(H),J)→(V,P),while in our study,the correspondence was(J,Ω_(H))→(V,P).This difference was owing to the rotating effect.The modified black hole thermodynamics were associated with rotating observers.The free energy in such a reference contains extra rotating energy,which induces a Legendre transformation in the(Ω_(H),J)cross-section,causing the difference in correspondence.
基金the National Natural Science Foundation of China(11604121,11875126)。
文摘Based on the Melnikov method,we investigate chaotic behaviors in the extended thermodynamic phase space for a slowly rotating Kerr-AdS black hole under temporal and spatial perturbations.Our results show that the temporal perturbation coming from a thermal quench of the spinodal region in the phase diagram may cause temporal chaos only when the perturbation amplitude is above a critical value,which involves the angular momentum J.Under the spatial perturbation,however,it is found that spatial chaos always occurs,independent of the perturbation amplitude.
