论文标题
鹰温温度和声子发射
Hawking temperature and phonon emission in acoustic holes
论文作者
论文摘要
声孔是标准黑洞的流体力学类似物。这些系统具有声学范围，在鹰温度下自发发射声子。我们通过在协方差动力学理论方法中充分利用黑色和声学孔之间的类比来得出声学范围的鹰温度。从协变量动力学方程得出声子分布函数后，我们通过等同于声孔的熵和能量损失以及自发发射的声子的熵和能量增长来重现鹰温度的表达。与以前的计算不同，我们不需要对正常模式传播的微观处理。我们的方法对霍金温度的含义及其与熵的联系开辟了不同的看法，这可能可以更轻松地研究热力学平衡以外的非固定视野。
Acoustic holes are the hydrodynamic analogue of standard black holes. Featuring an acoustic horizon, these systems spontaneously emit phonons at the Hawking temperature. We derive the Hawking temperature of the acoustic horizon by fully exploiting the analogy between black and acoustic holes within a covariant kinetic theory approach. After deriving the phonon distribution function from the covariant kinetic equations, we reproduce the expression of the Hawking temperature by equating the entropy and energy losses of the acoustic hole and the entropy and energy gains of the spontaneously emitted phonons. Differently from previous calculations we do not need a microscopical treatment of normal modes propagation. Our approach opens a different perspective on the meaning of Hawking temperature and its connection with entropy which may allow an easier study of non stationary horizons beyond thermodynamic equilibrium.
