Vugyro midplane rms - Theory Group

Fluctuations -> Midplane data -> RMS fluctuation levels

General Description

Plots toroidal angle and time-averaged radial profile of RMS fluctuation levels along outboard midplane. Using the definition

$\delta f_{mid}(r,\varphi,t) =\sum_{n=-N}^N f_n(r,\theta=0,t) e^{-i n \varphi}$

It is straightforward to show

$\delta f_{RMS}(r) = \sqrt{< \delta f_{mid}^2>_{\varphi,t} } = \sqrt{< | f_0 |^2>_t + 2 \sum_{n=1}^N < | f_n |^2 >_t }$

The overplotted horizontal bars correspond to the radial average of $δ f R M S$ and the standard deviation of the mean of that radial average. The numerical values are given at the end of the plotlabel. In a periodic simulation, this result corresponds to the box-average RMS fluctuation level.

Sample Image

Image:Rms flucamp.tiff

Button Definitions

Plot: Generate/regenerate plot
index up: Cycles up through all possible fluctuation fields (electrostatic potential, ion and electron density, energy, and temperature)
index down: Cycles down the fluctuation fields
Local norm: Toggle between $δ f R M S (r) / f 0 (r 0)$ and $δ f R M S (r) / f 0 (r)$
Finite-n only: Toggle whether to include n = 0 fluctuations in calculation
ss+: increases n value for overplotting singular surfaces
ss-: decreases n value for overplotting singular surfaces
PS dump: Create postscript file from screen image
Write to .sav file: Dump data to IDL savefile
Write to text file: Dump data to ASCII file
Done: Kill plot window

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