Relaxation of 2D turbulence of vortex crystals

Driscoll, C. F.; Schecter, David A.; Jin, Dezhe Z.; Dubin, D. H. E.; Fine, K. S.; Cass, A. C.

doi:10.1016/s0378-4371(98)00495-6

Cited by 10 publications

(9 citation statements)

References 8 publications

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“…2016), or have dealt with the analysis of turbulent quantities in conditions of free evolution (Driscoll et al. 1999; Romé & Lepreti 2011). An analysis of turbulence in conditions of forced evolution has been seldom considered, with few recent exceptions (Hurst et al.…”

Section: Introductionmentioning

confidence: 99%

Spectral analysis of forced turbulence in a non-neutral plasma

2017

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The paper investigates the dynamics of magnetized non-neutral (electron) plasmas subjected to external electric field perturbations. A two-dimensional (2-D) particle-in-cell code is effectively exploited to model this system with a special attention to the role that non-axisymmetric, multipolar radio frequency (RF) drives applied to the cylindrical (circular) boundary play on the insurgence of azimuthal instabilities and the subsequent formation of coherent structures preventing the relaxation to a fully developed turbulent state, when the RF fields are chosen in the frequency range of the low-order fluid modes themselves. The isomorphism of such system with a 2-D inviscid incompressible fluid offers an insight into the details of forced 2-D fluid turbulence. The choice of different initial density (i.e. fluid vorticity) distributions allows for a selection of conditions where different levels of turbulence and intermittency are expected and a range of final states is achieved. Integral and spectral quantities of interest are computed along the flow using a multiresolution analysis based on a wavelet decomposition of both enstrophy and energy 2-D maps. The analysis of a variety of cases shows that the qualitative features of turbulent relaxation are similar in conditions of both free and forced evolution; at the same time, fine details of the flow beyond the self-similarity turbulence properties are highlighted in particular in the formation of structures and their timing, where the influence of the initial conditions and the effect of the external forcing can be distinguished.

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Section: Introductionmentioning

confidence: 99%

Spectral analysis of forced turbulence in a non-neutral plasma

2017

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“…Strongly magnetized pure electron plasmas confined in Penning–Malmberg traps (Malmberg & deGrassie 1975) are excellent systems for quantitative investigations of two-dimensional (2D) fluid dynamic phenomena, such as vortex dynamics and turbulence (Driscoll et al. 1999; Durkin & Fajans 2000). With respect to other systems investigated in fluid turbulence studies, such as rotating tanks (Baroud et al.…”

Section: Introductionmentioning

confidence: 99%

“…Strongly magnetized pure electron plasmas confined in Penning-Malmberg traps (Malmberg & deGrassie 1975) are excellent systems for quantitative investigations of two-dimensional (2D) fluid dynamic phenomena, such as vortex dynamics and turbulence (Driscoll et al 1999;Durkin & Fajans 2000). With respect to other systems investigated in fluid turbulence studies, such as rotating tanks (Baroud et al 2002), soap films (Rutgers 1998) and electrolyte layers (Rivera, Vorobieff & Ecke 1998), non-ideal effects are significantly reduced for electron plasmas (Romé & Lepreti 2011), allowing for a more direct comparison between experiments and theoretical models.…”

Section: Introductionmentioning

confidence: 99%

Effect of initial conditions on electron–plasma turbulence: a multiresolution analysis

2015

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The transverse dynamics of a pure electron plasma confined in a Penning–Malmberg trap is investigated, taking advantage of two-dimensional particle-in-cell numerical simulations. The evolution of the electron plasma turbulence is studied by means of a wavelet-based multiresolution analysis. In particular, a modified recursive denoising algorithm is developed to separate coherent and incoherent (not necessarily homogeneous) components of the flow. A set of simulations have been carried out changing systematically the radii of an initial annular density distribution of the electrons. The results of the multiresolution analysis indicate that the initial density configuration may have a considerable effect on the evolution of turbulence. Even very small initial density fluctuations can lead to quite different final states, especially in the presence of multiple active diocotron modes characterized by similar growth rates.

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“…Experimental evidences of such two‐dimensional fluid phenomena that occur when intense, point like vortices are placed within a diffused, circular vortex, can be found in earlier experimental works regarding the relaxation of turbulent magnetized electron column . Such vortex merger processes for a non‐viscoelastic neutral fluid have been extensively studied in the past both at incompressible and compressible regimes .…”

Section: Introductionmentioning

confidence: 92%

Viscoelastic effects on asymmetric two‐dimensional vortex patterns in a strongly coupled dusty plasma

Gupta

Mukherjee

Ganesh

2019

Contributions to Plasma Physics

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Strongly coupled dusty plasma medium is often described as a viscoelastic fluid that retains its memory. In a flowing dusty plasma medium, vortices of different sizes appear when the flow does not remain laminar. The vortices also merge to transfer energy between different scales. In the present work, we study the effect of viscoelasticity and compressibility over a localized vortex structure and multiple rotational vortices in a strongly coupled viscoelastic dusty plasma medium. In case of single rotating vortex flow, a transverse wave is generated from the localized vortex source and the evolution time of generated waves is found to be reduced due to finite viscoelasticity and compressibility of the medium. It is found that the viscoelasticity suppresses the dispersion of vorticity. In the presence of multiple vortices, we find, the vortex mergers get highly affected in the presence of memory effect of the fluid, and thus the dynamics of the medium gets completely altered compared to a non‐viscoelastic fluid. For a compressible fluid, viscoelasticity dampens the energy in the sonic waves generated in the medium. Thus a highly viscoelastic and compressible fluid, in some cases, behaves similarly to an incompressible viscoelastic fluid. The wave‐front like rings propagate in elliptical orbits keeping the footprint of the earlier position of the point‐vortex. The rings collide with each other even within the patch vortex region forming regions of high vorticity at the point of intersection and pass through each other.

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Relaxation of 2D turbulence of vortex crystals

Cited by 10 publications

References 8 publications

Spectral analysis of forced turbulence in a non-neutral plasma

Spectral analysis of forced turbulence in a non-neutral plasma

Effect of initial conditions on electron–plasma turbulence: a multiresolution analysis

Viscoelastic effects on asymmetric two‐dimensional vortex patterns in a strongly coupled dusty plasma

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