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We study the dynamics of a nearly incompressible fluid via (classical) effective field theory. In the kinematical regime corresponding to near incompressibility (small fluid velocities and accelerations), compressional modes are, by…

High Energy Physics - Theory · Physics 2013-03-15 Solomon Endlich , Alberto Nicolis

This paper presents a theoretical investigation of vortex modes in acoustofluidic cylindrical resonators with rigid boundaries and viscous fluids. By solving the Helmholtz equation for linear pressure, incorporating boundary conditions that…

Fluid Dynamics · Physics 2024-10-15 Alisson S. Marques , Glauber T. Silva

In the analogue gravity framework, the acoustic disturbances in a moving fluid can be described by an equation of motion identical to a relativistic scalar massless field propagating in a curved spacetime. This description is possible only…

General Relativity and Quantum Cosmology · Physics 2016-06-06 Bethan Cropp , Stefano Liberati , Rodrigo Turcati

We use Clebsch potentials and an action principle to derive a closed system of gauge invariant equations for sound superposed on a general background flow. Our system reduces to the Unruh (1981) and Pierce (1990) wave equations when the…

Condensed Matter · Physics 2011-10-18 Santiago Esteban Perez Bergliaffa , Katrina Hibberd , Michael Stone , Matt Visser

We report a theoretical study showing that rogue waves can emerge in whispering gallery mode resonators as the result of the chaotic interplay between Kerr nonlinearity and anomalous group-velocity dispersion. The nonlinear dynamics of the…

Stimulated Brillouin scattering recently allowed experimental excitation of surface acoustic resonances in micro-devices, enabling vibration at rates in the range of 50 MHz to 12 GHz. The experimental availability of such mechanical…

Optics · Physics 2015-05-28 John Zehnpfennig , Gaurav Bahl , Matthew Tomes , Tal Carmon

We study analytically the superradiant instability properties of the hydrodynamic vortex model, an asymptotically flat acoustic geometry which, like the spinning Kerr black-hole spacetime, possesses an effective ergoregion. In particular,…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Shahar Hod

Using quasiclassical approach rather precise analytical approximations for the eigenfrequencies of whispering gallery modes in convex axisymmetric bodies may be found. We use the eikonal method to analyze the limits of precision of…

Optics · Physics 2007-05-23 Michael L. Gorodetsky , Aleksey E. Fomin

We investigate perturbations in a rotational and incompressible fluid flow. Interested in the phenomenon analogous to the black hole ergoregion instability, we verify the influence of the vorticity in the instability associated with this…

General Relativity and Quantum Cosmology · Physics 2025-01-17 Leandro A. Oliveira , Carolina L. Benone , Luís C. B. Crispino

The flow in a cylinder driven by time harmonic oscillations of the rotation rate, called longitudinal librations, is investigated. Using a theoretical approach and axisymmetric numerical simulations, we study two distinct phenomena…

Fluid Dynamics · Physics 2012-02-21 Alban Sauret , David Cébron , Michael Le Bars , Stéphane Le Dizès

Theory predicts that Coherent Synchrotron Radiation (CSR) in electron storage rings should appear in whispering gallery modes. In an idealized model these are resonances of the vacuum chamber that are characterized by their high frequencies…

Accelerator Physics · Physics 2017-08-21 Robert L. Warnock

We demonstrate that yttrium iron garnet microspheres support optical whispering gallery modes similar to those in non-magnetic dielectric materials. The direction of the ferromagnetic moment tunes both the resonant frequency via the Voigt…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 J. A. Haigh , S. Langenfeld , N. J. Lambert , J. J. Baumberg , A. J. Ramsay , A. Nunnenkamp , A. J. Ferguson

We theoretically study the properties of highly prolate shaped dielectric microresonators. Such resonators sustain whispering gallery modes that exhibit two spatially well separated regions with enhanced field strength. The field per photon…

Quantum Physics · Physics 2007-11-26 Y. Louyer , D. Meschede , A. Rauschenbeutel

Four-dimensional, asymptotically flat spacetimes with an ergoregion but no horizon have been shown to be linearly unstable against a superradiant-triggered mechanism. This result has wide implications in the search for astrophysically…

General Relativity and Quantum Cosmology · Physics 2014-06-10 Leandro A. Oliveira , Vitor Cardoso , Luís C. B. Crispino

Wave scattering phenomena are ubiquitous in almost all Sciences, from Biology to Physics. Interestingly, it has been shown many times that different physical systems are the stage to the same processes. The discoveries of such analogies…

General Relativity and Quantum Cosmology · Physics 2021-11-04 Theo Torres

Edge effects in the depinned phase of flux lines in hollow superconducting cylinder with columnar defects and electric current along the cylinder are investigated. Far from the ends of the cylinder vortices are distributed almost uniformly…

Statistical Mechanics · Physics 2007-05-23 P. G. Silvestrov

We simulate light propagation in perturbed whispering-gallery mode microcavities using a two-dimensional finite-difference beam prop- agation method in a cylindrical coordinate system. Optical properties of whispering-gallery microcavities…

Optics · Physics 2013-10-21 Mohammad Amin Cheraghi Shirazi , Wenyan Yu , Serge Vincent , Tao Lu

We study whispering gallery modes in triple microdisks of equilateral and isosceles triangular configurations. The characteristic properties of resonant modes in three microdisks on vertices of an equilateral triangle are explained by…

Optics · Physics 2020-09-10 Jung-Wan Ryu , Sunghwan Rim

We perform a linear stability analysis of dynamical, quadratic gravity in the high-frequency, geometric optics approximation. This analysis is based on a study of gravitational and scalar modes propagating on spherically-symmetric and…

General Relativity and Quantum Cosmology · Physics 2014-03-19 Dimitry Ayzenberg , Kent Yagi , Nicolas Yunes

We study the instability of a superfluid flow through a constriction in three spatial dimensions. We consider a Bose-Einstein condensate at zero temperature in two different geometries: a straight waveguide and a torus. The constriction…

Quantum Gases · Physics 2014-04-11 F. Piazza , L. A. Collins , A. Smerzi