论文标题
鹰辐射类似物中的一对具有零和能量的表面波数据包
Pairs of surface wave packets with zero-sum energy in the Hawking radiation analog
论文作者
论文摘要
在这里，我们提出了一个最小的模拟重力设置，并建议如何选择两个表面重力波数据包，以模仿非旋转黑洞的地平线的鹰辐射的某些关键方面。与常规研究的散射问题不同，我们提出的设置构成了恒定的平均流量，在平面测深的测定法上，两个波数据包具有相同数量的波动作用，但相等和相反（符号）能量的能量，从而模仿了从近地平线真空波动中产生的虚拟粒子。请注意与波浪作用和能量标准符号有关的物理机制，并具有波浪的内在和总相位速度。我们构建了相等波动的狭窄波数据包，一个具有正能量和群体速度的狭窄波包可以反对平均流动，并从黑洞中逃脱为霍金辐射，而另一个具有负能量和群体速度的速度被平均流量流动并掉入其中。霍金（Hawking）对低频模式放大的预测在我们的最低构造模型中得到了满足。我们发现波数据包的质心波数和表面升高幅度与简单的分析表达相关。
Here we propose a minimal analog gravity setup and suggest how to select two surface gravity wave packets in order to mimic some key aspects of Hawking radiation from the horizon of non-rotating black holes. Our proposed setup, unlike the scattering problem conventionally studied, constitutes of a constant mean flow over a flat bathymetry, in which the two wave packets possess the same amount of wave action but equal and opposite (sign) amount of energy, thereby mimicking virtual particles created out of near horizon vacuum fluctuations. Attention is given to the physical mechanism relating to the signs of the wave action and energy norm with the wave's intrinsic and total phase speeds. We construct narrow wave packets of equal wave action, the one with positive energy and group speed propagates against the mean flow and escapes from the black hole as Hawking radiation, while the other with negative energy and group speed is drifted by the mean flow and falls into it. Hawking's prediction of low frequency mode amplification is satisfied in our minimal model by construction. We find that the centroid wavenumbers and surface elevation amplitudes of the wave packets are related by simple analytical expressions.
