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Cosmos++ Time Series FFTs:
Averaged Time Series Power Spectrum:
The following plot displays in red the globally averaged time series power spectrum. The blue curve represents
the sum of the power in the m = 0, 1, 2, 3, and 4 azimuthal modes. Although I previously convinced Omer that the
roughly constant multiplicative factor between the two curves could be explain by the fact that we're only using
modes m = 0 through m = 4, I suspect that I may simply need to remove a factor of 2 that I put in by hand and instead
try to explain why the curves don't match at low frequency...
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Mode Projected Time Series Power Spectrum:
Power in m = 0, 1, 2, 3, and 4 azimuthal modes colored black, red, blue, green, and yellow, respectively.
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Radially Binned Time Series Power Spectrum:
Power averaged over radial bins between the radii listed along the top of the plot. Note that the ISCO
lies at r = 2.32 (included on the plot). Listed from inside out, the radial bins are colored red, blue, green,
yellow, cyan, and magenta. The black curve is the average unbinned power spectrum and the dotted red curve is
the sum of the radially binned data. These latter two curves do not match exactly because data from outside of
r = 20 was excluded to better focus on the inner most regions of the simulation.
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Ken Henisey
Graduate Student
Department of Physics
University of California
Santa Barbara, CA 93106-9530
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