利用Melnikov方法研究了 Bardeen-Anti de Sitter(AdS)黑洞对周期性微扰的热力学响应以及混沌的发生与演化,探讨了 Quintessence暗能量对黑洞的影响.根据规范/引力对偶与扩展相空间的思想,将黑洞看作一个可压缩、具有微小黏性、各向同性的液体系统.首先对Bardeen-AdS黑洞的相变旋节区施加时间周期性微扰,当微扰的临界振幅γ大于临界振幅γc时,黑洞会产生热力学混沌现象,该临界值由非线性电磁场(具体体现为磁单极荷β)和初始温度T0共同决定.然后对黑洞施加空间周期性微扰时,任意大小的微扰振幅均会导致黑洞相空间中出现混沌现象.考虑Kiselev的各向同性唯象模型,我们发现Quintessence暗能量对其内包裹黑洞的影响类似于一种热力学意义下的增益/阻尼机制.
Thermal chaos of Bardeen-AdS black hole and effects of quintessence dark energy
Thermal chaos under temporally/spatially periodic perturbations in the extended phase space of Bardeen-Anti de Sitter black holes surrounded by quintessence dark energy is investigated.Occurring condition of chaos is obtained with Melnikov integral.Spatial chaos is always supposed to occur even for a tiny spatially periodic perturbation imposed on equilibrium configuration.However,temporal chaos will arise in unstable spinodal region only if the given perturbed amplitude γ is larger than a critical value γc.The value of γc is determined by magnetic monopole charge β,initial temperature T0,quintessence state parameter ω,and quintessence normalization parameter a.In particular,combining effects of ω and parameter a together,we find that the function of quintessence dark energy is similar to an enhancing/damped mechanism.
black hole extended phase spaceMelnikov methodtemporally/spatially periodic perturbationsquintessence dark energygauge/gravity duality
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