  Linear Discriminant Analysis (LDA) is applied to investigate the electron
beam effects on the X-pinch produced K-shell Aluminum synthetic spectra. The
radiating plasma is produced by the explosion of two 25-{\mu}m Al wires on a
compact L-C (40kV, 200kA and 200ns) generator and time integrated spectra are
recorded using de Broglie spectrographs. The electron temperature and
density(Te = 80 eV and ne = 1x1020 cm-3), as well as the hot electron beam
fraction (f = 0.2 and energy centered at 10 keV) in the Al plasma, were
extracted using coefficients of principal components derived from the non-LTE
K-shell Al model. LDA shows that the weak transitions of Al He {\alpha} Ly
{\alpha}and He {\beta} represents Stark splitting and shifting profiles.
Finally, these transitions follows the elliptic polarization of Stokes V
profiles in the presence of electron beam fraction. A 3-dimensional
representation of LDA shows that the presence of electron beam, reflects
outward spiral turbulence. These spirals show the signature of Langmuir
turbulence. These spirals are modeled with logistic growth of predator-prey
model. This modeling suggests that the electron beams and ions represent the
preys and predator, respectively and the center region of the spirals tends to
have low temperatures of 50-100 eV.
