Effect of the cross frequency on the transport in the fusion plasmas

The cross phase $\delta$, i.e. the difference of the phase between the electric potential $\phi$ and the pressure $p_e$, is studied in the electromagnetic resistive drift turbulence. An evolution equation for $\delta$ is obtained in the Fourier space that includes the energy-non-transporting fluxes due to $E\times B$ and magnetic nonlinearities. BOUT++ platform [1] is used for the simulation until the steady state of the model is reached. The thermal transport $\Gamma$ is found to be proportional to $|p_e|^2 \cdot \delta$ and $\dot{\delta}$ is much smaller than the frequencies of $\phi$ and $p_e$. The effect of zonal flows on $\delta$ will be presented at the conference. [1] B. D. Dudson, M. V. Umansky, X. Q. Xu, P. B. Snyder, and H. R. Wilson, Comp. Phys. Comm. 180 1467 (2009)