In order to study how the statistical properties of the observational quantities of the turbulent molecular cloud models vary with different turbulence parameters, I use the artificially-generated random numerical models based on Gaussian fields created by the code pyFC. These models are with different values of the 1D density Fourier spectral index βn, the turbulence driving parameter, i.e., the b parameter and the 1D Fourier velocity power spectral index βv. Then I calculate the line profiles of 13CO J=1-0 emission on every sight-line. I derive the statistical properties of column density N, line intensity W, peak intensity Tpeak and velocity dispersion Vrms on every sight line. I discover that as βn increases, (1) the standard deviations σln (N/) and σln (W/) of the logarithmic column density ln (N/) and the logarithmic integrated intensity ln (W/) increase; (2) there are more sight lines with low Tpeak; (3) the PDF of Vrms inclines to left a little. As the b parameter increases, (1) the values of both σln (N/) and σln (W/) increase; (2) the numbers of both the low Tpeak values and the saturated Tpeak values become larger; (3) the PDF of Vrms inclines to left obviously. As βv increases, (1) the PDF of ln (W/) remains generally unchanged; (2) the PDF of Tpeak remains generally unchanged; (3) the PDF of Vrms inclines to left obviously. I also discuss the relationship among σN/, Mach number, the b parameter and βn.
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