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In many plasma systems, introducing a small background shear flow is enough to stabilize the system linearly. The nonlinear dynamics are much less sensitive to sheared flows than the average linear growthrates, and very small amplitude…

Plasma Physics · Physics 2018-01-17 Chris C. T. Pringle , Ben F. McMillan , Bogdan Teaca

A dynamical approach, rather than the usual statistical approach, is taken to explore the physical mechanisms underlying the nonlinear transfer of energy, the damping of the turbulent fluctuations, and the development of coherent structures…

Solar and Stellar Astrophysics · Physics 2015-08-19 G. G. Howes

The unit of nonlinear interaction in Navier-Stokes and the Magnetohydrodynamic (MHD) equations is a wavenumber triad ({\bf k,p,q}) satisfying ${\bf k+p+q=0}$. The expression for the combined energy transfer from two of these wavenumbers to…

Fluid Dynamics · Physics 2007-05-23 Gaurav Dar , Mahendra K. Verma , V. Eswaran

A local turbulence model is developed to study energy cascades in the interstellar medium (ISM) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid interstellar medium (ISM) that…

Space Physics · Physics 2015-05-13 Dastgeer Shaikh , Gary P. Zank

Several simulations of turbulence in the Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] are energetically analyzed and compared with each other and with the experiment. The simulations use the same model,…

Plasma Physics · Physics 2013-05-16 B. Friedman , T. A. Carter , M. V. Umansky , D. Schaffner , I. Joseph

This work presents a new theoretical and numerical model describing all possible linear interactions between upper-hybrid wave turbulence and random density fluctuations in a solar wind plasma; not only linear processes as wave reflection,…

Plasma Physics · Physics 2025-07-21 Catherine Krafft , Alexandr Volokitin

We calculate the net energy per unit time exchanged between two sets of modes in a generic system governed by a three-wave kinetic equation. Our calculation is based on the property of detailed energy conservation of the triadic resonant…

Fluid Dynamics · Physics 2023-01-18 Giovanni Dematteis , Yuri V. Lvov

Turbulence is ubiquitously observed in nearly collisionless heliospheric plasmas, including the solar wind and corona and the Earth's magnetosphere. Understanding the collisionless mechanisms responsible for the energy transfer from the…

Plasma Physics · Physics 2019-09-06 Tak Chu Li , Gregory G. Howes , Kristopher G. Klein , Yi-Hsin Liu , Jason M. TenBarge

In this paper we analytically compute the strength of nonlinear interactions in a triad, and the energy exchanges between wavenumber shells in incompressible fluid turbulence. The computation has been done using first-order perturbative…

Chaotic Dynamics · Physics 2009-11-07 Mahendra K. Verma , Arvind Ayyer , Olivier Debliquy , Shishir Kumar , Amar V. Chandra

Nonlinear entropy transfer processes in toroidal ion temperature gradient (ITG) and electron temperature gradient (ETG) driven turbulence are investigated based on the gyrokinetic entropy balance relations for zonal and non-zonal modes,…

Plasma Physics · Physics 2026-02-27 Motoki Nakata , Tomo-Hiko Watanabe , Hideo Sugama

The nonlinear interaction of waves in a driven medium may lead to wave turbulence, a state such that energy is transferred from large to small lengthscales. Here, wave turbulence is observed in experiments on a vibrating plate. The…

Chaotic Dynamics · Physics 2008-10-07 Arezki Boudaoud , Olivier Cadot , Benoît Odille , Cyril Touzé

Nonlinear interaction of a low density electron beam with a uniform plasma is studied using two-dimensional particle-in-cell (PIC) simulations. We focus on formation of coherent phase space structures in the case, when a wide…

Plasma Physics · Physics 2012-05-21 I. V. Timofeev

The quasilinear premise is a hypothesis for the modeling of plasma turbulence in which the turbulent fluctuations are represented by a superposition of randomly-phased linear wave modes, and energy is transferred among these wave modes via…

Solar and Stellar Astrophysics · Physics 2014-04-11 Gregory G. Howes , Kristopher G. Klein , Jason M. TenBarge

A local turbulence model is developed to study energy cascades in the heliosheath and outer heliosphere (OH) based on self-consistent two-dimensional fluid simulations. The model describes a partially ionized magnetofluid OH that couples a…

Space Physics · Physics 2015-05-14 Dastgeer Shaikh , G. P. Zank

In this study, the energy exchange between electrons and ions in ITG TEM turbulence is investigated using gyrokinetic simulations. The energy exchange in TEM turbulence is primarily composed of the cooling of electrons associated with…

Plasma Physics · Physics 2025-12-18 T. Kato , H. Sugama , T. -H. Watanabe

Plasma turbulence is the dominant transport mechanism for heat and particles in magnetized plasmas in linear devices and tokamaks, so the study of turbulence is important in limiting and controlling this transport. Linear devices provide an…

Plasma Physics · Physics 2017-11-17 Jarrod Leddy , Ben Dudson

Plasma turbulence at scales of the order of the ion inertial length is mediated by several mechanisms, including linear wave damping, magnetic reconnection, formation and dissipation of thin current sheets, stochastic heating. It is now…

Plasma Physics · Physics 2018-03-28 Enrico Camporeale , Luca Sorriso-Valvo , Francesco Califano , Alessandro Retinò

The concept of Nonlinear dispersion relation (NDR) is used in various fields of Physics (nonlinear optics, hydrodynamics, hydroelasticity, mechanics, quantum optics, plasma physics,...) to characterize fundamental phenomena induced by…

The nonlinear interaction between counterpropagating Alfven waves is the physical mechanism underlying the cascade of energy to small scales in astrophysical plasma turbulence. Beginning with the equations for incompressible MHD, an…

Solar and Stellar Astrophysics · Physics 2015-06-16 Gregory G. Howes , Kevin D. Nielson

The nonlinear evolution of an ion ring instability in a low-beta magnetospheric plasma is considered. The evolution of the two-dimensional ring distribution is essentially quasilinear. Ignoring nonlinear processes the time-scale for the…

Plasma Physics · Physics 2015-05-27 M. Mithaiwala , L. Rudakov1 , G. Ganguli , C. Crabtree