Construction of momentum theorem using cross moments

POSTER

Abstract

Charney-Drazin theorem has been extended to Hasegawa Wakatani system~for zonal flow problem in magnetic fusion [P.H. Diamond, et al., Plasma Phys. Control. Fusion \textbf{50}, 124018 (2008)]. For this model, the guiding center density is the potential vorticity and zonal flow is influenced by the particle flux. In this work we construct momentum theorems in terms of a hierarchy of cross moments $\left\langle {n_G ^2} \right\rangle $, $\left\langle {u_\phi n_G } \right\rangle $, and $\left\langle {p_i n_G } \right\rangle $. Then we show that the particle flux, momentum flux, and heat flux influence the zonal flow for each system respectively. This work was supported by U. S. Department of Energy Contract No. DE--AC02--09CH11466 (TSH, LW), China Scholarship Council (LW), U. S. DOE SciDAC center for Gyrokinetic Particle Simulation of Turbulent Transport in Burning Plasmas, and the U. S. DOE SciDAC-FSP Center for Plasma Edge Simulation (TSH).

Authors

  • T.S. Hahm

    • PPPL
    • Princeton Plasma Physics Laboratory, Princeton University
    • Princeton University, Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, NJ 08543, USA
    • Princeton Plasma Physics Laboratory
    • Princeton University, PPPL

  • Lu Wang

    • School of Physics, Peking University, Beijing 100871, China
    • School of Physics, Peking University

  • P.H. Diamond

    • Center for Astrophysics and Space Science, U.C.S.D., La Jolla, CA 92093, USA