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Synthetic dimensions can be rendered in the physical space and this has been achieved with photonics and cold atomic gases, however, little to no work has been succeeded in acoustics because acoustic wave-guides cannot be weakly coupled in…

Mesoscale and Nanoscale Physics · Physics 2020-12-23 Hui Chen , Hongkuan Zhang , Qian Wu , Yu Huang , Huy Nguyen , Emil Prodan , Xiaoming Zhou , Guoliang Huang

This paper is motivated by the problem of integrating multiple sources of measurements. We consider two multiple-input-multiple-output (MIMO) channels, a primary channel and a secondary channel, with dependent input signals. The primary…

Information Theory · Computer Science 2013-06-25 Yuan Wang , Haonan Wang , Louis Scharf

The boundaries of waveguides and nanowires have drastic influence on their coherent scattering properties. Designing the boundary profile is thus a promising approach for transmission and band-gap engineering with many applications. By…

Mesoscale and Nanoscale Physics · Physics 2012-12-04 O. Dietz , H. -J. Stöckmann , U. Kuhl , F. M. Izrailev , N. M. Makarov , J. Doppler , F. Libisch , S. Rotter

Three isoperimetric results are treated. (i) At a given pressure gradient, for all channels with given (cross-sectional) area that which maximises the steady flow $Q_{\rm steady}$ has a circular cross-section. (ii) Consider flows starting…

Analysis of PDEs · Mathematics 2016-10-31 Grant Keady , Benchawan Wiwatanapataphee

We report the pinching of an elongated liquid droplet that is confined in a rectangular microchannel. The droplet pinching is induced by a local variation of the channel topography and can lead to its break-up. The modification of the…

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

Microbubbles excited by acoustic fields inside water oscillate, and generate acoustic radiation forces and drag-induced acoustic streaming. These forces can be harnessed in various biomedical applications such as targeted drug delivery and…

Fluid Dynamics · Physics 2022-05-26 Amit Dolev , Murat Kaynak , Mahmut Selman Sakar

Acoustic microstreaming due to an oscillating microbubble is analytically investigated to obtain the circular streaming motion adjacent to a nearby wall. Classical theory due to Nyborg is carefully derived in the radial coordinates. The…

Fluid Dynamics · Physics 2019-09-04 Nima Mobadersany , Kausik Sarkar

While resonant modes do not exist within band gaps in infinite periodic materials, they may appear as in-gap localized edge modes once the material is truncated to form a finite periodic structure. Here, we provide an analysis framework…

Materials Science · Physics 2023-12-19 Matheus I. N. Rosa , Bruce L. Davis , Liao Liu , Massimo Ruzzene , Mahmoud I. Hussein

A characteristic feature of a superconductor made of multiple condensates is the possibility of the shape resonances in superconducting gaps. Shape resonances belong to class of Fano resonances in configuration interaction between open and…

Superconductivity · Physics 2013-12-17 Antonio Bianconi

Waves patterns in the Faraday instability have been studied for decades. Besides the rich dynamics that can be observed on the waves at the interface, Faraday waves hide beneath them an elusive range of flow patterns --or streaming…

Fluid Dynamics · Physics 2017-05-24 Nicolas Périnet , Pablo Gutiérrez , Héctor Urra , Nicolás Mujica , Leonardo Gordillo

We investigate the formation of subaqueous transverse bedforms in turbulent open channel flow by means of direct numerical simulations with fully-resolved particles. The main goal of the present analysis is to address the question whether…

Fluid Dynamics · Physics 2020-08-26 Markus Scherer , Aman G. Kidanemariam , Markus Uhlmann

We investigate erosion patterns observed in a horizontal granular bed resulting from seepage of water motivated by observation of beach rills and channel growth in larger scale landforms. Our experimental apparatus consists of a wide…

The coherent stochastic resonance is observed and studied with multi-step periodic signal in continuous medium having two absorbing boundaries. The general features of this process are exihibited. The universal features at the resonance…

Condensed Matter · Physics 2009-10-31 Asish K. Dhara , Tapan Mukhopadhyay

We consider the acoustic flow field of rotationally symmetric systems, like an annular combustor and the flow in a round duct, in absence of a mean azimuthal flow field. We focus on azimuthal instabilities, which manifest as either spinning…

Fluid Dynamics · Physics 2020-10-05 Giulio Ghirardo , Francesco Gant

Enhancing and controlling chaotic advection or chaotic mixing within liquid droplets is crucial for a variety of applications including digital microfluidic devices which use microscopic ``discrete'' fluid volumes (droplets) as…

Chaotic Dynamics · Physics 2009-09-18 Rodolphe Chabreyrie , Dmitri Vainchtein , Cristel Chandre , Pushpendra Singh , Nadine Aubry

The aim of this paper is to provide a mathematical and numerical framework for the analysis and design of bubble meta-screens. An acoustic meta-screen is a thin sheet with patterned subwavelength structures, which nevertheless has a…

Analysis of PDEs · Mathematics 2016-08-10 Habib Ammari , Brian Fitzpatrick , David Gontier , Hyundae Lee , Hai Zhang

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

We present a discrete model of resonant scattering of waves by an open periodic waveguide. The model elucidates a phenomenon common in electromagnetics, in which the interaction of plane waves with embedded guided modes of the waveguide…

Mathematical Physics · Physics 2011-01-04 Natalia Ptitsyna , Stephen P. Shipman

Vortices in fluids and gases have piqued the interest of human for centuries. Development of classical-wave physics and quantum mechanics highlighted wave vortices characterized by phase singularities and topological charges. In particular,…

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