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Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2+1-dimensional cKdV-type equation. In a case study, we consider concentric waves from a…

Pattern Formation and Solitons · Physics 2016-08-24 K. R. Khusnutdinova , X. Zhang

The evolution of high dimensional entanglement in atmospheric turbulence is investigated. We study the effects of turbulence on photonic states generated by spontaneous parametric down-conversion, both theoretically and experimentally. One…

The effect of particles that undergo strong diffusive-shock-acceleration on the stability of the accelerating shock is investigated. A two-fluid model is employed in which the accelerated particles are treated as a fluid whose effect is…

Astrophysics · Physics 2007-05-23 M. Mond , L. O'C. Drury

Starting from the stochastic Zakharov-Kuznetsov equation, a multidimensional KdV type equation on a hypercubic lattice, we provide a derivation of the 3-wave kinetic equation. We show that the two point correlation function can be…

Analysis of PDEs · Mathematics 2024-02-13 Gigliola Staffilani , Minh-Binh Tran

We report results of a three dimensional, high resolution (up to 512^3) numerical investigation of supersonic compressible magnetohydrodynamic turbulence. We consider both forced and decaying turbulence. The model parameters are appropriate…

Astrophysics · Physics 2009-10-30 James M. Stone , Eve C. Ostriker , Charles F. Gammie

We report theoretical and experimental results on 4-wave capillary wave turbulence. A system consisting of two inmiscible and incompressible fluids of the same density can be written in a Hamiltonian way for the conjugated pair…

Soft Condensed Matter · Physics 2015-05-13 Gustavo Düring , Claudio Falcón

Rapidly rotating turbulent flow is characterized by the emergence of columnar structures that are representative of quasi-two dimensional behavior of the flow. It is known that when energy is injected into the fluid at an intermediate scale…

Fluid Dynamics · Physics 2015-06-04 Amrik Sen , Pablo D. Mininni , Duane Rosenberg , Annick pouquet

We introduce and study a random matrix model of Kolmogorov-Zakharov turbulence in a nonlinear purely dynamical finite size system with many degrees of freedom. For the case of a direct cascade the energy and norm pumping takes place at low…

Statistical Mechanics · Physics 2024-04-03 Klaus M. Frahm , Dima L. Shepelyansky

We study properties of chaos in generic one-dimensional nonlinear Hamiltonian lattices comprised of weakly coupled nonlinear oscillators, by numerical simulations of continuous-time systems and symplectic maps. For small coupling, the…

Chaotic Dynamics · Physics 2011-12-06 Mario Mulansky , Karsten Ahnert , Arkady Pikovsky , Dima Shepelyansky

We study the growth of small-scale inhomogeneities of the density of particles floating in weakly nonlinear, small-amplitude, surface waves. Despite the amplitude smallness, the accumulated effect of the long-time evolution may produce…

Chaotic Dynamics · Physics 2012-10-23 M. Vucelja , I. Fouxon

Stratified turbulence shows scale- and direction-dependent anisotropy and the coexistence of weak turbulence of internal gravity waves and strong turbulence of eddies. Straightforward application of standard analyses developed in isotropic…

Fluid Dynamics · Physics 2019-10-10 Naoto Yokoyama , Masanori Takaoka

Fast magnetosonic waves are among the fundamental oscillation modes of astrophysical plasmas. To study their dynamics, we carry out numerical simulations of the wave turbulence kinetic equation, which describes the evolution of the energy…

Plasma Physics · Physics 2026-05-22 Nicolás Pablo Müller , Sébastien Galtier

Intermittency is investigated using decaying direct numerical simulations of incompressible weak magnetohydrodynamic turbulence with a strong uniform magnetic field ${\bf b_0}$ and zero cross-helicity. At leading order, this regime is…

Chaotic Dynamics · Physics 2014-09-09 Romain Meyrand , Khurom H. Kiyani , Sebastien Galtier

The dynamic conformal transformation method has been generalized for the first time to numerically simulate the capillary wave turbulence of a liquid surface in the plane symmetric anisotropic geometry. The model is strongly nonlinear and…

Fluid Dynamics · Physics 2024-03-20 Evgeny Kochurin

We present results from particle-in-cell simulations of driven turbulence in magnetized, collisionless, and relativistic pair plasma. We find that fluctuations are consistent with the classical $k_\perp^{-5/3}$ magnetic energy spectrum at…

Plasma Physics · Physics 2017-02-14 Vladimir Zhdankin , Gregory R. Werner , Dmitri A. Uzdensky , Mitchell C. Begelman

We study the propagation of sound waves in a three-dimensional, infinite ambient flow with weak random fluctuations of the mean particle velocity and speed of sound. We more particularly address the regime where the acoustic wavelengths are…

Mathematical Physics · Physics 2021-09-03 Jean-Luc Akian , Éric Savin

This study employs three-dimensional particle-resolved simulations of planar shocks passing through a suspension of stationary solid particles to study wake-induced gas-phase velocity fluctuations, termed pseudo-turbulence. Strong coupling…

Fluid Dynamics · Physics 2025-04-07 Archana Sridhar , Rodney O. Fox , Jesse Capecelatro

The nonlinear evolution of a vortex sheet driven by the Kelvin--Helmholtz instability is characterized by the formation of a spiral possessing complex stretching and intensity patterns. We show that the power energy spectrum of a single…

Classical Physics · Physics 2007-05-23 Malek Abid , Alberto Verga

The scattering of inertia-gravity waves by large-scale geostrophic turbulence in a rapidly rotating, strongly stratified fluid leads to the diffusion of wave energy on the constant-frequency cone in wavenumber space. We derive the…

Atmospheric and Oceanic Physics · Physics 2019-05-22 Hossein Kafiabad , Miles A. C. Savva , Jacques Vanneste

We use three-dimensional simulations to study the statistics of supersonic turbulence in molecular clouds. Our numerical experiments describe driven turbulent flows with an isothermal equation of state, Mach numbers around 10, and various…

Astrophysics of Galaxies · Physics 2009-05-18 Alexei G. Kritsuk , Sergey D. Ustyugov , Michael L. Norman , Paolo Padoan
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