Anomalous pinch of turbulent plasmas driven by the magnetic-drift-induced Lorentz force through the Stokes-Einstein relation

Wang, Shaojie

doi:10.1063/1.4959812

Cited by 7 publications

(4 citation statements)

References 33 publications

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“…as shown in figures 6(a1) and (a2). It has been proven that equation ( 15) also works at the nonlinear stage [26]. It is found that D rr and D rK at the nonlinear stage roughly satisfy equation ( 15), as shown in figures 6(b1) and (b2).…”

Section: The Relation Between D Rr and D Rkmentioning

confidence: 74%

“…It can be seen from figure 6 that D rK is mainly contributed by trapped particles and, in the trapping cone, the D rK directly obtained by NDTM is close to that obtained using equation (15), which indicates equation ( 15) is well satisfied; meanwhile, out of the trapping cone, especially in the velocity space of v ⊥ < v T outside of the resonance curve, a difference is found between D rK obtained by the above two methods, which indicates equation ( 15) is not well satisfied. The reasons for the difference are as follows: (1) note that in obtaining equation ( 15) [26], the cos θ ≈ 1 was used by invoking the strong ballooning approximation; when the strong ballooning approximation is not well satisfied, cos θ ≈ 1 is still a good approximation for trapped particles, but not a good one for passing particles; (2) the coefficient,…”

Section: The Relation Between D Rr and D Rkmentioning

confidence: 99%

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The phase-space structure of a nonlinear ion diffusion tensor in ion-temperature-gradient-driven turbulence

Sun

Wang

et al. 2023

Nucl. Fusion

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The phase-space structure of ion diffusion tensor in ITG turbulence is studied by using the newly developed numerical code NDTM. The numerical results show that at both the linear and nonlinear stage, the diffusion tensor of ITG turbulence presents typical ballooning structure in poloidal direction and magnetic drift resonance structure in velocity-space. The Drr and DrK components of the diffusion tensor satisfy the Stokes-Einstein relation. It is found that the phase-space structure of ion diffusion tensor at linear stage is induced by the resonance between ions and ITG eigenmodes, while that at nonlinear stage is induced by the resonance between ions and the Daughter-Ballooning-Modes under the poloidal acceleration of nonlinear zonal radial electric fields.

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Section: The Relation Between D Rr and D Rkmentioning

confidence: 74%

Section: The Relation Between D Rr and D Rkmentioning

confidence: 99%

The phase-space structure of a nonlinear ion diffusion tensor in ion-temperature-gradient-driven turbulence

Sun

Wang

et al. 2023

Nucl. Fusion

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“…After calculating the necessary deviations of F 0 and substituting them into equation (3), we obtain 3,4,5. In order to conveniently analyze the transport coefficients and fluxes in section 4, analogous to the treatment in [21], we have defined a set of driving forces…”

Section: Dispersion Relationmentioning

confidence: 99%

Anomalous transport driven by ion temperature gradient instability in an anisotropic deuterium-tritium plasma

Zhang¹,

Yu²,

Xue³

et al. 2022

Plasma Sci. Technol.

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In the nowadays and future fusion devices such as ITER and CFETR, as the use of various heating schemes, the parallel and perpendicular temperature of plasmas can be different; this temperature anisotropy may have significant effects on the turbulence. In this work, the anomalous transport driven by the ion temperature gradient instability is investigated in an anisotropic deuterium-tritium (D-T) plasma. The anisotropic factor $\alpha$, defined as the ratio of perpendicular temperature to parallel temperature, is introduced to describe the temperature anisotropy in the equilibrium distribution function of D. The linear dispersion relation in local kinetic limit is derived, and then numerically evaluated to study the dependence of mode frequency on the anisotropic factor $\alpha$ and the proportion for T particle $\vareT$ by choosing three sets of typical parameters, denoted as the cyclone base case (CBC), ITER and CFETR cases. Based on the linear results, the mixing length model approximation is adopted to analyze the quasi-linear particle and energy fluxes for D and T. It is found that choosing small $\alpha$ and large $\vareT$ is beneficial for the confinement of particle and energy for D and T. This work may be helpful for the estimation of turbulent transport level in the ITER and CFETR devices.

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“…To end this subsection, we point out that if one does not absorb the contribution from the driven source in the velocity space into those in the spatial space, then one should add another term in equation (73b) to reflect this contribution; obviously, this term will explicitly appear in equation (84). Note that this term will also appear, for example, in equation (85) as a heating source [51]. Equation ( 86) is obtained by substituting equation (85) into equation (84), one can easily deduce that the form of equation ( 86) is kept unchanged.…”

Section: The Zonal Radial Electric Field In the Cylindrical Geometrymentioning

confidence: 99%

Theory of gyrokinetic velocity moment and its application for zonal flows in a tokamak plasma

Zhang

Dai

et al. 2020

Nucl. Fusion

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The calculation of the velocity moment in the gyrokinetic theory and its application in the study of zonal flows in a tokamak plasma are investigated. Based on the scalar invariance property, the expression for the particle velocity in the gyrocenter coordinates is obtained, and a method to systematically calculate the velocity moment in the gyrokinetic theory is proposed, especially for the calculation of the first-order perpendicular velocity moment. The kinetic equation which describes the evolution of the perturbed distribution on the meso-scale of the zonal flow is derived. The effects of the turbulent particle flux, the turbulent energy flux, the turbulent toroidal Reynolds stress and the turbulent poloidal Reynolds stress (PRS) are explicitly included in the phase-space particle flux. In the cylindrical geometry, the zonal radial electric field is driven by the turbulent PRS and the turbulent energy flux, and the result agrees with the radial force balance equation. In the toroidal geometry, the zonal radial electric field is driven by the turbulent PRS, the turbulent energy flux and the turbulent toroidal Reynolds stress; in contrast to the case in the cylindrical geometry, the effect of the turbulent PRS is shielded by the toroidal effect. By combining the radial force balance equation, the poloidal momentum equation in the toroidal geometry is obtained.

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Anomalous pinch of turbulent plasmas driven by the magnetic-drift-induced Lorentz force through the Stokes-Einstein relation

Abstract: It is found that the Lorentz force generated by the magnetic drift drives a generic plasma pinch fluxes of particle, energy and momentum through the Stokes-Einstein relation. The proposed theoretical model applies for both electrons and ions, trapped particles and passing particles.

Cited by 7 publications

References 33 publications

The phase-space structure of a nonlinear ion diffusion tensor in ion-temperature-gradient-driven turbulence

The phase-space structure of a nonlinear ion diffusion tensor in ion-temperature-gradient-driven turbulence

Anomalous transport driven by ion temperature gradient instability in an anisotropic deuterium-tritium plasma

Theory of gyrokinetic velocity moment and its application for zonal flows in a tokamak plasma

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