论文标题
Bardeen-ads黑洞的空间和时间混乱和少量深色能量的影响
Spatial and Temporal Chaos of a Bardeen-AdS Black Hole and Effects of Quintessence Dark Energy
论文作者
论文摘要
研究了在空间/时间周期性的扰动下的热混乱，在Bardeen-ads的扩展相空间中，黑洞被典型的暗能量包围。用Melnikov积分获得混乱的发生条件。结果表明，即使是在平衡构型上施加的空间周期性扰动，空间混乱也总是应该发生的。但是，只有当给定的扰动振幅γ大于临界值γc时，时间混乱才会在不稳定的旋转区域出现。 γC的值由磁单电荷\ b {eta}，初始温度T0，典型状态参数ω和典型范围归一化参数a确定。特别是，将ω和A的效果结合在一起，我们发现典型性似乎与增强/阻尼机制非常相似。换句话说，存在临界值\ r {ho} c的深色能量密度\ r {ho}。在\ r {ho} <\ r {ho} c的区域中，典当的存在导致黑洞粘度的降低，从而使系统更有可能表现出混乱的行为。相反，考虑到能量密度\ r {ho}> \ r {ho} c，系统可获得较高的粘度，因此它具有耐受较大的热波动的能力。
Thermal chaos under spatially/temporally periodic perturbations in the extended phase space of Bardeen-AdS black holes surrounded by quintessence dark energy is investigated. The occurring condition of chaos is obtained with the Melnikov integral. It is shown that spatial chaos is always supposed to occur even for a tiny spatially periodic perturbation imposed on the equilibrium configuration. However, the temporal chaos will arise in the unstable spinodal region only if the given perturbed amplitude γ is larger than a critical value γc. The value of γc is determined by the magnetic monopole charge \b{eta}, the initial temperature T0, the quintessence state parameter ω, and the quintessence normalization parameter a. Particularly, combining the effects of ω and a together, we find that the quintessence appears quite similar to an enhancing/damped mechanism. In other words, there exists a critical value \r{ho}c of the quintessence dark energy density \r{ho}. In the region of \r{ho} < \r{ho}c, the existence of quintessence leads to a reduction in the viscosity of black holes and thus makes the system more likely to exhibit chaotic behavior. Conversely, given the energy density \r{ho} > \r{ho}c, the system acquires higher viscosity so that it is endowed with the ability to endure a larger thermal fluctuation.
