论文标题
旋律不稳定性的全息方法
Holographic approach of the spinodal instability to criticality
论文作者
论文摘要
用于声音平方$ C_S^2 $的一阶相变的吸烟枪签名是旋转不稳定的发生。在量规/重力二元性中，它对应于Gregory-Laflamme型不稳定性，可以在数值上模拟为不稳定的平面黑麸皮的演变。利用全息图，研究了远离临界点的远处和以下结果。在临界点附近，由于其宽度和表面张力给出的冷和热稳定相之间的界面具有更大的相距和较小的表面张力。远离临界点的远距离旋转不稳定性的形成时间减少了。在较柔和且较硬的相变，证明了平衡峰和不稳定的高原的合并导致首选的最终单相分离溶液。最后，发现了一种新的非典型设置，并发现了将峰耗散成高原的新型设置。为了区分不均匀状态，我根据界面处的最大横向压力提出了一个新的标准，该标准编码了相结合的峰与完全相分离的高原。
A smoking gun signature for a first-order phase transition with negative speed of sound squared $c_s^2$ is the occurrence of a spinodal instability. In the gauge/gravity duality it corresponds to a Gregory-Laflamme type instability, which can be numerically simulated as the evolution of unstable planar black branes. Making use of holography its dynamics is studied far from and near a critical point with the following results. Near a critical point the interface between cold and hot stable phases, given by its width and surface tension, is found to feature a wider phase separation and a smaller surface tension. Far away from a critical point the formation time of the spinodal instability is reduced. Across softer and harder phase transitions, it is demonstrated that mergers of equilibrated peaks and unstable plateaux lead to the preferred final single phase separated solution. Finally, a new atypical setup with dissipation of a peak into a plateau is discovered. In order to distinguish the inhomogeneous states I propose a new criterium based on the maximum of the transverse pressure at the interface which encodes phase-mixed peaks versus fully phase separated plateaux.
