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We present a theory of resonances for a class of non-autonomous Hamiltonians to treat the structural instability of spatially localized and time-periodic solutions associated with an unperturbed autonomous Hamiltonian. The mechanism of…

chao-dyn · Physics 2009-10-31 A. Soffer , M. I. Weinstein

It was shown previously that the current-carrying state of a Field Effect Transistor with asymmetric source and drain boundary conditions may become unstable against spontaneous generation of plasma waves [1]. By extending the analysis to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. I. Dyakonov

The presence of a dispersed phase substantially modifies small-scale turbulence. However, there has not been a comprehensive mechanistically-based understanding to predict turbulence modulation. Based on the energy flux balance, we propose…

Fluid Dynamics · Physics 2023-11-23 S. Balachandar , C. Peng , L. -P. Wang

This paper continues the systematic investigation of diffusive shear instabilities initiated in Part I of this series. In this work, we primarily focus on quantifying the impact of non-local mixing, which is not taken into account in Zahn's…

Solar and Stellar Astrophysics · Physics 2018-07-25 D. Gagnier , P. Garaud

The stability and transition in the bottom boundary layer under a solitary wave are analysed in the presence of finite amplitude disturbances. First, the receptivity of the boundary layer is investigated using a linear input-output…

Fluid Dynamics · Physics 2020-07-15 Asim Önder , Philip Li-Fan Liu

A dynamical model is proposed for isotropic turbulence driven by steady forcing that yields a viscosity independent dynamics for the small-scale (inertial) regime. This reproduces the Kolmogorov spectrum for the two-point velocity…

Statistical Mechanics · Physics 2011-07-04 Mohammad Mehrafarin

We investigate a model where strong noise in a sub-population creates a metastable state in an otherwise unstable two-population system. The induced metastable state is vortex-like, and its persistence time grows exponentially with the…

Statistical Mechanics · Physics 2013-05-29 Matthew Parker , Alex Kamenev , Baruch Meerson

The tensor network representation of many-body quantum states, given by local tensors, provides a promising numerical tool for the study of strongly correlated topological phases in two dimension. However, tensor network representations may…

Strongly Correlated Electrons · Physics 2018-09-12 Sujeet K. Shukla , M. Burak Şahinoğlu , Frank Pollmann , Xie Chen

We show that the unsteadiness of turbulence has a drastic effect on turbulence parameters and in particle cluster formation. To this end we use direct numerical simulations of particle laden flows with a steady forcing that generates an…

A statistically stationary turbulence with a mean shear gradient is realized in a flow driven by suitable body forces. The flow domain is periodic in downstream and spanwise directions and bounded by stress free surfaces in the normal…

Chaotic Dynamics · Physics 2009-10-31 Joerg Schumacher , Bruno Eckhardt

Zonal jets and non-zonal large-scale flows are often present in forced-dissipative barotropic turbulence on a beta-plane. The dynamics underlying the formation of both zonal and non-zonal coherent structures is investigated in this work…

Atmospheric and Oceanic Physics · Physics 2015-05-05 Nikolaos A. Bakas , Navid C. Constantinou , Petros J. Ioannou

A system of interacting particles described by stochastic differential equations is considered. As oppopsed to the usual model, where the noise perturbations acting on different particles are independent, here the particles are subject to…

Analysis of PDEs · Mathematics 2016-06-23 Michele Coghi , Franco Flandoli

A two dimensional flow model is introduced with deterministic behavior consisting of bursts which become successively larger, with longer interburst time intervals between them. The system is symmetric in one variable x and there are bursts…

Chaotic Dynamics · Physics 2009-11-11 J. M. Finn , E. R. Tracy , W. E. Cooke , A. S. Richardson

We explore the near-resonant interaction of inertial waves with geostrophic modes in rotating fluids via numerical and theoretical analysis. When a single inertial wave is imposed, we find that some geostrophic modes are unstable above a…

Fluid Dynamics · Physics 2020-08-26 Thomas Le Reun , Basile Gallet , Benjamin Favier , Michael Le Bars

We report on laboratory experiments of wave-driven rotating turbulence. A set of wavemakers produces inertial-wave beams that interact nonlinearly in the central region of a water tank mounted on a rotating platform. The forcing thus…

Fluid Dynamics · Physics 2020-10-30 Maxime Brunet , Basile Gallet , Pierre-Philippe Cortet

The role of short-wave instabilities on geostrophic turbulence is studied in a simplified model consisting of three layers in the quasi-geostrophic approximation. The linear stability analysis shows that short-wave instabilities are created…

Fluid Dynamics · Physics 2015-10-21 Gualtiero Badin

Waves and oscillations are commonly observed in the dynamics of self-driven agents such as pedestrians or vehicles. Interestingly, many factors may perturb the stability of space homogeneous streaming, leading to the spontaneous formation…

Physics and Society · Physics 2021-06-10 Martin Friesen , Hanno Gottschalk , Barbara Rüdiger , Antoine Tordeux

An analysis of instability dynamics in a stochastic magnetic field is presented for the tractable case of the resistive interchange. Externally prescribed static magnetic perturbations convert the eigenmode problem to a stochastic…

Plasma Physics · Physics 2023-06-14 Mingyun Cao , P. H. Diamond

We carry out a general study of the stability of astrophysical flows that appear steady in a uniformly rotating frame. Such a flow might correspond to a stellar pulsation mode or an accretion disk with a free global distortion giving it…

Astrophysics · Physics 2009-11-10 J. C. B. Papaloizou

A linear analysis of the zombie vortex instability is performed in a stratified shearing sheet setting for three model barotropic shear flows. The linear analysis is done by utilizing a Green's function formulation to resolve the critical…

Fluid Dynamics · Physics 2016-10-26 Orkan M. Umurhan , Karim Shariff , Jeffrey N. Cuzzi
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