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The investigation about the volume of a black hole is closely related to the quantum nature of the black hole. The entropy is a significant concept for this. A recent work by Majhi and Samanta [Phys. Lett. B 770 (2017) 314] after us…

General Relativity and Quantum Cosmology · Physics 2017-09-22 Baocheng Zhang

Rotating superradiance in cylindrical geometries has recently been observed experimentally using acoustic waves, shedding light on the superradiant phenomenon in black holes. In this paper, we study superradiance in acoustic black holes…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Chengye Yu , Xiaolin Zhang , Sobhan Kazempour , Sichun Sun

The study of the resonances of the Helmholtz resonator has been broadly described in previous works. Here, for a simple tube-shaped two dimensional resonator, we can perform a careful analysis of the transition zone where oscillations start…

Spectral Theory · Mathematics 2011-06-07 Andre Martinez , Laurence Nedelec

Acoustic holes are the hydrodynamic analogue of standard black holes. Featuring an acoustic horizon, these systems spontaneously emit phonons at the Hawking temperature. We derive the Hawking temperature of the acoustic horizon by fully…

General Relativity and Quantum Cosmology · Physics 2021-05-21 Massimo Mannarelli , Dario Grasso , Silvia Trabucco , Maria Luisa Chiofalo

We consider the scalar Helmholtz equation with variable, discontinuous coefficients, modelling transmission of acoustic waves through an anisotropic penetrable obstacle. We first prove a well-posedness result and a frequency-explicit bound…

Analysis of PDEs · Mathematics 2022-09-20 Théophile Chaumont-Frelet , Euan A. Spence

We deal with the time-harmonic acoustic waves scattered by a large number of small holes, of maximal radius $a, a<<1$, arbitrary (i.e. not necessarily periodically) distributed in a bounded part of a homogeneous background. We show that as…

Mathematical Physics · Physics 2017-11-15 Durga Prasad Challa , Andrea Mantile , Mourad Sini

It is well known that a hypothetical compact object that looks like an Einsteinian (Schwarzschild or Kerr) black hole everywhere except a small region near its surface should have the ringdown profile predicted by the Einstein theory at…

General Relativity and Quantum Cosmology · Physics 2019-01-23 R. A. Konoplya , Z. Stuchlík , A. Zhidenko

Rhythms and vibrations represent the quintessence of life, they are ubiquitous (systemic) in all living systems. Recognising, unfolding these rhythms is paramount in medicine, for example in the physiology of the heart, lung, hearing,…

Neurons and Cognition · Quantitative Biology 2021-10-28 A. Guillet , A. Arneodo , P. Argoul , F. Argoul

It is argued that a characteristic length may be associated with the entropic state of a spherically symmetric black hole in the cosmological context. This length is much smaller than the Schwarzschild-radius of a black hole and may act as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hadi Salehi

Low frequency AC-measurements are commonly used to determine the voltage and currents through mesoscopic devices. We calculate the effect of the alternating Hall voltage on the recorded time-averaged voltage in the presence of a top-gate…

Mesoscale and Nanoscale Physics · Physics 2009-05-21 Tobias Kramer , Eric J. Heller , Robert E. Parrott

Ultrasonic standing waves in a cylindrical enclosure can achieve very high local pressures at the acoustic nodes (~1 MPa). When the acoustic wave passes through a phononic crystal comprised of steel and glycerin, there are regions of…

Materials Science · Physics 2021-07-16 Edward A. Rietman

We study the effects of noise and decoherence for a double-potential well system, suitable for the fabrication of qubits and quantum logic elements. A random noise term is added to the hamiltonian, the resulting wavefunction found…

Mesoscale and Nanoscale Physics · Physics 2015-05-25 P. Korcyl , J. Wosiek , L. Stodolsky

If the speed of sound were vastly larger in the early Universe a near scale-invariant spectrum of density fluctuations could have been produced even if the Universe did not submit to conventional solutions to the horizon problem. We examine…

Astrophysics · Physics 2009-06-23 Joao Magueijo

Electromagnetics and Acoustics on a bounded domain are governed by the Helmholtz's equation; when such a domain is a [pre-]fractal described by means of a `just-touching' Iterated Function System (IFS) spectral decomposition of the…

Spectral Theory · Mathematics 2007-05-23 W. Arrighetti , G. Gerosa

Musical acoustics is an interesting sub-field of physics which is usually able to engage students in a dual perspective, by combining science and art together. The physics principles involved in most musical instruments can be easily…

Classical Physics · Physics 2014-04-22 Zily Burstein , Christina M. Gower , Gabriele U. Varieschi

It is well-known that the perturbations of Schwarzschild black holes are governed by a wave equation with some effective potential. We consider perturbations of a gas in a tube called Laval nozzle, which is narrow in the middle and has a…

High Energy Physics - Theory · Physics 2008-11-26 E. Abdalla , R. A. Konoplya , A. Zhidenko

Understanding the difference between universal low-temperature properties of amorphous and crystalline solids requires an explanation of the stronger damping of long-wavelength phonons in amorphous solids. A longstanding sound attenuation…

Soft Condensed Matter · Physics 2019-09-18 Lijin Wang , Ludovic Berthier , Elijah Flenner , Pengfei Guan , Grzegorz Szamel

The backreaction equations for the linearized quantum fluctuations in an acoustic black hole are given. The solution near the horizon, obtained within a dimensional reduction, indicates that acoustic black holes, unlike Schwarzschild ones,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Roberto Balbinot , Serena Fagnocchi , Alessandro Fabbri , Giovanni P. Procopio

A cylindrical pipe with closed ends and with a partition in-between exhibits acoustic modes in the two, thus formed, one-dimensional cavities at certain frequencies. A partial transmission through the partition leads to interaction between…

Physics Education · Physics 2024-06-19 Arjit Kant Gupta , Anjan K. Gupta

The volume of a Meissner polyhedron is computed in terms of the lengths of its dual edges. This allows to reformulate the Meissner conjecture regarding constant width bodies with minimal volume as a series of explicit finite dimensional…

Metric Geometry · Mathematics 2023-10-30 Beniamin Bogosel