Slow Sound in a duct, effective transonic flows and analogue black holes

Abstract

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.

5 pages + 2 pages of supplementary material, 4 figures in total, final version published in PRD

References in corpus (11)

• Quantum Gravity at a Lifshitz Point
• Fiber-optical analogue of the event horizon
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• A Primer for Black Hole Quantum Physics
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Cited by in corpus (6)

• Slow sound in lined flow ducts
• The imprint of the analogue Hawking effect in subcritical flows
• Hydrodynamic models of astrophysical wormholes. The general concept
• Gravity waves on modulated flows downstream from an obstacle: The transcritical case
• Slow sound laser in lined flow ducts
• An escape of vector matter-wave soliton from a parabolic trap