相关稳定性猜想能被拯救吗？
Can the correlated stability conjecture be saved?
摘要：
Gubser和Mitra [1，2]提出的相关稳定性猜想（CSC）将黑膜的热力学稳定性和经典（不）稳定性联系起来。在文献[3]中指出，热力学不稳定性，特别是负比热，确实导致全息双重等离子体激发的流体动力学谱的不稳定性。CSC的反例是在具有标量毛发的黑膜经历二级相变的背景下提出的[4，5]。后者constitutionary不变的视野有标量头发，提出的问题是否渐近参数的标量头发可以适当地解释为额外的费用，导致泛化的热力学稳定性标准。本文证明了推广这类热力学稳定性判据并不能挽救CSC。我们进一步提出了一个简单的统计模型，它清楚地表明，热力学和动力学（在）稳定性一般是不相关的。
英文摘要：
Correlated stability conjecture (CSC) proposed by Gubser and Mitra [1,2] linked the thermodynamic and classical (in)stabilities of black branes. In [3] it was shown that the thermodynamic instabilities, specifically the negative specific heat, indeed result in the instabilities in the hydrodynamic spectrum of holographically dual plasma excitations. Counter-examples of CSC were presented in the context of black branes with scalar hair undergoing a second-order phase transition [4,5]. The latter translationary invariant horizons have scalar hair, raising the question whether the asymptotic parameters of the scalar hair can be appropriately interpreted as additional charges leading to a generalization of the thermodynamic stability criterion. In this paper we show that the generalization of the thermodynamic stability criterion of this type can not save CSC. We further present a simple statistical model which makes it clear that thermodynamic and dynamical (in)stabilities generically are not correlated.
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