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Article Dans Une Revue Physical Review D Année : 2015

Slow sound in a duct, effective transonic flows, and analog black holes

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Résumé

We propose a new system suitable for studying analog 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 analog 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 analog surface gravity.

Dates et versions

hal-02512451 , version 1 (19-03-2020)

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Yves Aurégan, Pierre Fromholz, Florent Michel, Vincent Pagneux, Renaud Parentani. Slow sound in a duct, effective transonic flows, and analog black holes. Physical Review D, 2015, 92 (8), ⟨10.1103/PhysRevD.92.081503⟩. ⟨hal-02512451⟩
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