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

Yves Aurégan, Pierre Fromholz, Florent Michel, Vincent Pagneux, and Renaud Parentani
Phys. Rev. D 92, 081503(R) – Published 21 October 2015
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Abstract

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.

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  • Received 16 March 2015

DOI:https://doi.org/10.1103/PhysRevD.92.081503

© 2015 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsFluid DynamicsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Yves Aurégan1,*, Pierre Fromholz2,†, Florent Michel3,‡, Vincent Pagneux1,§, and Renaud Parentani3,∥

  • 1Laboratoire d’Acoustique, Université du Maine, UMR CNRS 6613, Avenue O Messiaen, 72085 Le Mans Cedex 9, France
  • 2Département de Physique, ENS, 24 rue Lhomond, 75005 Paris, France
  • 3Laboratoire de Physique Théorique, CNRS, Université Paris-Sud, Université Paris-Saclay, 91405 Orsay, France

  • *yves.auregan@univ-lemans.fr
  • pierre.fromholz@ens.fr
  • florent.michel@th.u-psud.fr
  • §vincent.pagneux@univ-lemans.fr
  • renaud.parentani@th.u-psud.fr

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Issue

Vol. 92, Iss. 8 — 15 October 2015

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