论文标题

在扩展相空间中带电的dilaton-ads黑洞的热混乱

Thermal chaos of a charged dilaton-AdS black hole in the extended phase space

论文作者

Dai, Chaoqun, Chen, Songbai, Jing, Jiliang

论文摘要

我们已经研究了通过Melnikov方法为带电的Dilaton-Ads黑洞的扩展相空间中的热混沌行为,并提出了Dilaton参数对热混沌的影响。我们的结果表明,对于时间扰动,仅当扰动振幅大于某些临界值时,带电的Dilaton-Ads黑洞中的热混乱才会发生,但是对于空间扰动,混乱始终存在,无论扰动幅度如何,混乱总是存在。这些行为与其他广告中的黑洞相似,黑洞可以被视为静态广告的常见特征。此外,我们还发现,导致混乱的临界时间扰动幅度随着Dilaton参数而增加,并且随着电荷而减小。这意味着在时间扰动下,dilaton参数的存在使混乱的开始更加困难,这与电荷参数的不同之处。

We have studied thermal chaotic behavior in the extended phase space for a charged dilaton-AdS black hole by Melnikov method and present the effect of dilaton parameter on the thermal chaos. Our result show that for the temporal perturbation the thermal chaos in the charged dilaton-AdS black hole occurs only if the perturbation amplitude is larger than certain a critical value, but for the spatially perturbation, the chaos always exists irrespective of perturbation amplitude. These behaviors are similar to those in other AdS black hole, which can be regarded as the common features of the static AdS black holes. Moreover, we also find that the critical temporal perturbation amplitude leading to chaos increases with the dilaton parameter and decreases with the charge. This means that under the temporal perturbation the presence of dilaton parameter makes the onset of chaos more difficult, which differs from that of the charge parameter.

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