2019
DOI: 10.1063/1.5063874
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Transport theory of phase space zonal structures

Abstract: A set of equations is derived that describes the transport of particles and energy in a thermonuclear plasma on the energy confinement timescale. The equations thus derived allow to study collisional and turbulent transport self-consistently retaining the effect of magnetic field geometry without assuming any scale separation between fluctuations and the reference state. In a previous article [1], transport equations holding on the reference state lengthscale have been derived using the moment approach introdu… Show more

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Cited by 46 publications
(100 citation statements)
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“…Attempts along this line has been made in the Ref. [62] and a transport equation for the zonal phase space distribution function has been derived.…”
Section: Introductionmentioning
confidence: 99%
“…Attempts along this line has been made in the Ref. [62] and a transport equation for the zonal phase space distribution function has been derived.…”
Section: Introductionmentioning
confidence: 99%
“…Appendix A. Linear stability of EGAM described by equation (12) Equation ( 12) is the linear EGAM dispersion relation excited by a not fully slowed down EP distribution function given by equation (11), with the logarithmic and simple-pole like singularities in the square bracket related to the slowing-down and low energy end cutoff, respectively. The corresponding EGAM linear properties are…”
Section: Data Availabilitymentioning
confidence: 99%
“…Zonal field structures (ZFS) with toroidally and nearly poloidally symmetric mode structures (n = 0/m ≃ 0, ±1 • • •, with n/m being the toroidal/poloidal mode numbers, respectively) are generally recognized to regulate micro-scale drift wave turbulence (DW) including drift Alfvén waves (DAWs) and their associated transport by scattering into stable short radial wavelength regimes [4][5][6][7][8]. Interested readers may refer to a recent work [9] discussing the role of ZFS and phase space zonal structures (PSZS) [10,11] as the generator of nonlinear equilibria with (suppressed) turbulence [6,12].…”
Section: Introductionmentioning
confidence: 99%
“…These, meanwhile, are comparable to the inverse of the instability growth rates and are O(10 −1 ) shorter than those of resistive/collisionless tearing instabilities [12,13,14]. The complexities of nonlinear wave and charged-particle dynamics with at least O(10 3 ) separation of spatial and temporal scales in nonuniform plasmas with complicated magnetic field geometries, thus, naturally demand the employment of numerical simulations as a powerful tool for understanding the observations, extracting the underlying physics mechanisms, and predicting the future performances [6,15]. Most of the existing simulation models are based on the so-called magnetohydrodynamic fluid approximation, which can not adequately address the kinetic physics such as enhanced space-charge separation at the microscopic ρ i scale and wave-particle interactions.…”
Section: Introductionmentioning
confidence: 99%