Bardeen-AdS黑洞的热力学混沌及暗能量效应  

Thermal chaos of Bardeen-AdS black hole and effects of quintessence dark energy

作　　者：王天志 王鑫洋 刘文彪[1,3] WANG Tianzhi;WANG Xinyang;LIU Wenbiao(Department of Physics,Beijing Normal University,100875,Beijing,China;College of Education for the Future,Beijing Normal University,519087,Zhuhai,Guangdong,China;Faculty of Arts and Sciences,Beijing Normal University,519087,Zhuhai,Guangdong,China)

机构地区：[1]北京师范大学物理学系,北京100875 [2]北京师范大学未来教育学院,广东珠海519087 [3]北京师范大学文理学院,广东珠海519087

出　　处：《北京师范大学学报（自然科学版）》2023年第6期906-913,共8页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12105015)。

摘　　要：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γ_(c)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T_(0)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 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 amplitudeγis larger than a critical valueγ_(c).The value ofγ_(c) is determined by magnetic monopole chargeβ,initial temperature T_(0),quintessence state parameterω,and quintessence normalization parameter a.In particular,combining effects ofωand parameter a together,we find that the function of quintessence dark energy is similar to an enhancing/damped mechanism.

关 键 词：黑洞的扩展相空间热力学 MELNIKOV方法 时空周期性混沌 Quintessence暗能量 规范/引力对偶 

分 类 号：O412.1[理学—理论物理]