1998
DOI: 10.1103/physrevlett.81.4863
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Double Curl Beltrami Flow: Diamagnetic Structures

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Cited by 266 publications
(255 citation statements)
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“…The eigenfunctions in the HMHD system are generally given by double Beltrami flows (DBFs), namely, force-free stationary solutions for a two-fluid plasma, as determined by Mahajan and Yoshida [26]. Among the DBFs, considering the influence of a uniform background magnetic field and the Hall-term effect vanishing limit, the generalized Elsässer variables (GEVs [21]) have been found to be the most suitable for avoiding problems with singularities in the standard MHD limit [14].…”
Section: Introductionmentioning
confidence: 99%
“…The eigenfunctions in the HMHD system are generally given by double Beltrami flows (DBFs), namely, force-free stationary solutions for a two-fluid plasma, as determined by Mahajan and Yoshida [26]. Among the DBFs, considering the influence of a uniform background magnetic field and the Hall-term effect vanishing limit, the generalized Elsässer variables (GEVs [21]) have been found to be the most suitable for avoiding problems with singularities in the standard MHD limit [14].…”
Section: Introductionmentioning
confidence: 99%
“…We note that the Beltrami and Bernoulli conditions recover the fluid mechanical equilibrium model of diamagnetic (high-beta) structures [4,5].…”
Section: Da -Aumentioning
confidence: 75%
“…We note that (24) is the determining equation for U, which corresponds to the "Beltrami condition" of vortex dynamics systems [4]. The effective potential p determines the density;…”
Section: Da -Aumentioning
confidence: 99%
“…A possibility of extremely high-fl equilibrium (f3 can exceed unity) with a strong sheared flow was theoretically pointed out, which was based on the double-curl Beltrami field [1]. In fact, under some theoretical and simulation works obtain several high-fl solutions in both cylindrical and toroidal geometry.…”
Section: Introductionmentioning
confidence: 99%
“…Although several methods can be considered, we have proposed to add a charge neutral plasma to a pure electron plasma. If the two plasmas are well mixed together, a perpendicular ion flow would be driven inside the two-fluid plasma due to E. Furthermore, if the flow is fast enough in the electrically non-neutralized plasma, the structure of B may exhibit a diamagnetic profile, which is required to attain a high-fl value, as the theory [1] points out.…”
Section: Introductionmentioning
confidence: 99%