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We analyze stability of a system which contains an harmonic oscillator non-linearly coupled to its second harmonic, in the presence of a driving force. It is found that there always exists a critical amplitude of the driving force above…

chao-dyn · Physics 2009-10-31 I. M. Khalatnikov , M. Kroyter

The interaction acoustic radiation force in a standing plane wave applied to each small solid sphere in a two-particle system immersed in a viscoelastic fluid is studied in a framework based on perturbation theory. In this work, the first-…

Fluid Dynamics · Physics 2023-03-29 Fateme Eslami , Hossein Hamzehpour , Sanaz Derikvandi , S. Amir Bahrani

Brownian oscillator, i.e. a micron-sized or smaller particle trapped in a thermally fluctuating environment is studied. The confining harmonic potential can move with a constant velocity. As distinct from the standard Langevin theory, the…

Statistical Mechanics · Physics 2012-02-21 Lukas Glod , Gabriela Vasziova , Jana Tothova , Vladimir Lisy

In this work, we study the acoustically mediated interaction forces among multiple well-separated spherical particles trapped in the same node or antinode plane of a standing wave. An analytical expression of the acoustic interaction force…

Soft Condensed Matter · Physics 2016-12-21 Shenwei Zhang , Chunyin Qiu , Mudi Wang , Manzhu Ke , Zhengyou Liu

The non-linear dynamics of driven oscillations in the size of a spherical bubble are mapped to the dynamics of a Newtonian particle in a potential within the incompressible liquid regime. The compressible liquid regime, which is important…

Fluid Dynamics · Physics 2024-12-30 Uri Shimon , Ady Stern

The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\'e map, is…

Chaotic Dynamics · Physics 2011-11-10 D. V. Makarov , M. Yu. Uleysky , M. V Budyansky , S. V. Prants

A wave equation for a time-dependent perturbation about the steady shallow-water solution emulates the metric an acoustic white hole, even upon the incorporation of nonlinearity in the lowest order. A standing wave in the sub-critical…

Other Condensed Matter · Physics 2009-11-10 Arnab K. Ray , J. K. Bhattacharjee

Acoustic fields effect steady transport of suspended particles by rectifying the inertia of primary oscillations. We develop a fully analytic theory that relates this steady particle motion to incident oscillatory (acoustic) flow and the…

Fluid Dynamics · Physics 2023-10-03 Xiaokang Zhang , Jake Minten , Bhargav Rallabandi

Sound can exert forces on objects of any material and shape. This has made the contactless manipulation of objects by intense ultrasound a fascinating area of research with wide-ranging applications. While much is understood for acoustic…

Soft Condensed Matter · Physics 2024-01-17 Melody X. Lim , Bryan VanSaders , Heinrich M. Jaeger

We study the coupled small-amplitude motion of the mechanical system consisting of infinitely deep water and a structure immersed in it. The former is bounded above by a free surface, whereas the latter is formed by an arbitrary finite…

Mathematical Physics · Physics 2014-10-23 Nikolay Kuznetsov , Oleg Motygin

A one dimensional system made up of a compressible fluid and several mechanical oscillators, coupled to the acoustic field in the fluid, is analyzed for different settings of the oscillators array. The dynamical models are formulated in…

Mathematical Physics · Physics 2007-05-23 C. Cacciapuoti , R. Figari , A. Posilicano

Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be…

Chaotic Dynamics · Physics 2008-01-15 Sohrab Behnia , Amin Jafari , Wiria Soltanpoor , Okhtai Jahanbakhsh

The long time dynamics of large particles trapped in two inhomogeneous turbulent shear flows is studied experimentally. Both flows present a common feature, a shear region that separates two colliding circulations, but with different…

Fluid Dynamics · Physics 2016-03-02 N Machicoane , M López-Caballero , L Fiabane , J-F Pinton , M Bourgoin , J Burguete , R Volk

The controlled rotation of solid particles trapped in a liquid by an ultrasonic vortex beam is observed. Single polystyrene beads, or clusters, can be trapped against gravity while simultaneously rotated. The induced rotation of a single…

Fluid Dynamics · Physics 2018-08-22 Diego Baresch , Régis Marchiano , Jean-Louis Thomas

A new instability mechanism is described in accretion flows where the gas is accelerated from a stationary shock to a sonic surface. The instability is based on a cycle of acoustic and entropic waves in this subsonic region of the flow.…

Astrophysics · Physics 2007-05-23 T. Foglizzo , M. Tagger

A sound stimulus entering the inner ear excites a deformation of the basilar membrane which travels along the cochlea towards the apex. It is well established that this wave-like disturbance is amplified by an active system. Recently, it…

Biological Physics · Physics 2009-11-10 Thomas Duke , Frank Julicher

Inviscid hydrodynamics mediates forces through pressure and other, typically irrotational, external forces. Acoustically induced forces must be consistent with arising from such a pressure field. The use of "acoustic stress" is shown to…

Fluid Dynamics · Physics 2014-09-30 Clifford Chafin

The dynamics of an active walker in a harmonic potential is studied experimentally, numerically and theoretically. At odds with usual models of self-propelled particles, we identify two dynamical states for which the particle condensates at…

Soft Condensed Matter · Physics 2019-02-20 Olivier Dauchot , Vincent Démery

In this work we analyze the solutions of a simple system of coupled phase oscillators in which the connectivity is learned dynamically. The model is inspired in the process of learning of birdsong by oscine birds. An oscillator acts as the…

Neurons and Cognition · Quantitative Biology 2009-11-11 Marcos A. Trevisan , Sebastian Bouzat , Ines Samengo , Gabriel B. Mindlin

A rigid spherical particle in an acoustic wave field oscillates at the wave period but has also a mean motion on a longer time scale. The dynamics of this mean motion is crucial for numerous applications of acoustic microfluidics, including…

Fluid Dynamics · Physics 2015-06-19 Jin-Han Xie , Jacques Vanneste