管道中的慢声、有效跨音速流和模拟黑洞
Slow Sound in a duct, effective transonic flows and analogue black holes
摘要：
我们提出了一个新的系统，适用于研究模拟重力效应，包括在管道中流动的气体与兼容的壁。有效的跨音速流动是通过壁面柔度引起的一维声速的降低，从均匀的低马赫数流动中获得的。我们表明，修改后的方程的线性扰动可以写在一个哈密顿形式。我们执行一个一维的减少与规范制定一致，并推导出模拟度量随着第一色散项。在弱色散区，从声波视界发射的光谱数值上显示为普朗克的，并且具有由模拟表面重力固定的温度。
英文摘要：
We propose a new system suitable for studying analogue gravity effects, consisting of a gas flowing in a duct with a compliant wall. Effective transonic flows are obtained from uniform, low Mach number flows through the reduction of the one-dimensional speed of sound induced by the wall compliance. We show that the modified equation for linear perturbations can be written in a Hamiltonian form. We perform a one-dimensional reduction consistent with the canonical formulation, and deduce the analogue metric along with the first dispersive term. In a weak dispersive regime, the spectrum emitted from a sonic horizon is numerically shown to be Planckian, and with a temperature fixed by the analogue surface gravity.
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