Second order kinetic theory of parallel momentum transport in collisionless drift wave turbulence
Abstract
A second order kinetic model for turbulent ion parallel momentum transport is presented. A new nonresonant second order parallel momentum flux term is calculated. The resonant component of the ion parallel electrostatic force is the momentum source, while the nonresonant component of the ion parallel electrostatic force compensates for that of the nonresonant second order parallel momentum flux. The resonant component of the kinetic momentum flux can be divided into three parts, including the pinch term, the diffusive term, and the residual stress. By reassembling the pinch term and the residual stress, the residual stress can be considered as a pinch term of parallel waveparticle resonant velocity, and, therefore, may be called as “resonant velocity pinch” term. Considering the resonant component of the ion parallel electrostatic force is the transfer rate between resonant ions and waves (or, equivalently, nonresonant ions), a conservation equation of the parallel momentum of resonant ions and waves is obtained.
 Authors:
 Department of Engineering Physics, Tsinghua University, Beijing 100084 (China)
 (China)
 Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031 (China)
 Publication Date:
 OSTI Identifier:
 22599913
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 8; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; EQUATIONS; IONS; PARTICLES; RESIDUAL STRESSES; TRANSPORT THEORY; TURBULENCE; VELOCITY; WAVE PROPAGATION
Citation Formats
Li, Yang, Email: lyang13@mails.tsinghua.edu.cn, Southwestern Institute of Physics, Chengdu 610041, Gao, Zhe, Chen, Jiale, and Center for Magnetic Fusion Theory, Chinese Academy of Sciences, Hefei. Second order kinetic theory of parallel momentum transport in collisionless drift wave turbulence. United States: N. p., 2016.
Web. doi:10.1063/1.4960827.
Li, Yang, Email: lyang13@mails.tsinghua.edu.cn, Southwestern Institute of Physics, Chengdu 610041, Gao, Zhe, Chen, Jiale, & Center for Magnetic Fusion Theory, Chinese Academy of Sciences, Hefei. Second order kinetic theory of parallel momentum transport in collisionless drift wave turbulence. United States. doi:10.1063/1.4960827.
Li, Yang, Email: lyang13@mails.tsinghua.edu.cn, Southwestern Institute of Physics, Chengdu 610041, Gao, Zhe, Chen, Jiale, and Center for Magnetic Fusion Theory, Chinese Academy of Sciences, Hefei. Mon .
"Second order kinetic theory of parallel momentum transport in collisionless drift wave turbulence". United States.
doi:10.1063/1.4960827.
@article{osti_22599913,
title = {Second order kinetic theory of parallel momentum transport in collisionless drift wave turbulence},
author = {Li, Yang, Email: lyang13@mails.tsinghua.edu.cn and Southwestern Institute of Physics, Chengdu 610041 and Gao, Zhe and Chen, Jiale and Center for Magnetic Fusion Theory, Chinese Academy of Sciences, Hefei},
abstractNote = {A second order kinetic model for turbulent ion parallel momentum transport is presented. A new nonresonant second order parallel momentum flux term is calculated. The resonant component of the ion parallel electrostatic force is the momentum source, while the nonresonant component of the ion parallel electrostatic force compensates for that of the nonresonant second order parallel momentum flux. The resonant component of the kinetic momentum flux can be divided into three parts, including the pinch term, the diffusive term, and the residual stress. By reassembling the pinch term and the residual stress, the residual stress can be considered as a pinch term of parallel waveparticle resonant velocity, and, therefore, may be called as “resonant velocity pinch” term. Considering the resonant component of the ion parallel electrostatic force is the transfer rate between resonant ions and waves (or, equivalently, nonresonant ions), a conservation equation of the parallel momentum of resonant ions and waves is obtained.},
doi = {10.1063/1.4960827},
journal = {Physics of Plasmas},
number = 8,
volume = 23,
place = {United States},
year = {Mon Aug 15 00:00:00 EDT 2016},
month = {Mon Aug 15 00:00:00 EDT 2016}
}

This paper presents a novel, unified approach to the theory of turbulent transport of parallel momentum by collisionless drift waves. The physics of resonant and nonresonant offdiagonal contributions to the momentum flux is emphasized, and collisionless momentum exchange between waves and particles is accounted for. Two related momentum conservation theorems are derived. These relate the resonant particle momentum flux, the wave momentum flux, and the refractive force. A perturbative calculation, in the spirit of ChapmanEnskog theory, is used to obtain the wave momentum flux, which contributes significantly to the residual stress. A general equation for mean k{sub parallel} (<k{sub parallel}>)more »

Transport of parallel momentum by driftAlfven turbulence
An electromagnetic gyrokinetic formulation is utilized to calculate the turbulent radial flux of parallel momentum for a strongly magnetized plasma in the large aspect ratio limit. For low{beta} plasmas, excluding regions of steep density gradients, the level of momentum transport induced by microturbulence is found to be well described within the electrostatic approximation. However, near regions of steep equilibrium profile gradients, strong electromagnetic contributions to the momentum flux are predicted. In particular, for sufficiently steep density gradient, the magnitude of transport induced by the offdiagonal residual stress component of the momentum flux induced by drift wave turbulence can be quenched.more » 
Anomalous momentum transport from drift wave turbulence
A sheared slab magnetic field model [bold B]=[ital B][sub 0][[bold [cflx z]]+([ital x]/[ital L][sub [ital s]])[bold [cflx y]]], with inhomogeneous flows in the [bold [cflx y]] and [bold [cflx z]] directions, is used to perform a fully kinetic stability analysis of the ion temperature gradient (ITG) and dissipative trapped electron (DTE) modes. The concomitant quasilinear stress components that couple to the local perpendicular ([ital y] component) and parallel ([ital z] component) momentum transport are also calculated and the anomalous perpendicular and parallel viscous stresses obtained. A breakdown of the ITGinduced viscous stresses are generally observed at moderate values of themore » 
A kinetic theory of trappedelectrondriven drift wave turbulence in a sheared magnetic field
A kinetic theory of collisionless and dissipative trappedelectrondriven drift wave turbulence in a sheared magnetic field is presented. Weak turbulence theory is employed to calculate the nonlinear electron and ion responses and to derive a wave kinetic equation that determines the nonlinear evolution of trappedelectron mode turbulence. The saturated fluctuation spectrum is calculated using the condition of nonlinear saturation. The turbulent transport coefficients ({ital D}, {chi}{sub {ital i}}, {chi}{sub {ital e}}), are, in turn, calculated using the saturated fluctuation spectrum. Because of the disparity in the three different radial scale lengths of the slablike eigenmode: {Delta} (trappedelectron layer width), {italmore » 
Statistical theory of resistive driftwave turbulence and transport
Resistive driftwave turbulence in a slab geometry is studied by statistical closure methods and direct numerical simulations. The twofield Hasegawa{endash}Wakatani (HW) fluid model, which evolves the electrostatic potential and plasma density selfconsistently, is a paradigm for understanding the generic nonlinear behavior of multiplefield plasma turbulence. A gyrokinetic derivation of the HW model is sketched. The recently developed Realizable Markovian Closure (RMC) is applied to the HW model; spectral properties, nonlinear energy transfers, and turbulent transport calculations are discussed. The closure results are also compared to direct numerical simulation results; excellent agreement is found. The transport scaling with the adiabaticity parameter,more »