The Effects Of The Variations Of Turbulence Parameters On The Observable Turbulence Statistics

Now many analyses of the observed data of molecular clouds verify that supersonic turbulence widely exists in molecular clouds. The supersonic turbu-lence motion is the main process that dominates the dynamic properties and evolution of molecular clouds. 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 numeri-cal models based on Gaussian fields created by the code pyFC. These models are with different values of the 1D density Fourier spectral index ?n, the turbulence driving parameter, i.e., the b parameter and the 1D Fourier velocity power spec-tral index ?v. 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 dis-cover that as ?n increases, (1) the standard deviations ?ln(N/<N>) and ?ln(W/<W>) of the logarithmic column density ln(N/<N>) and the logarithmic integrated in-tensity ln(W/<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 ?ln(N/<N>) and ?ln(W/<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 ?v increases, (1) the PDF of ln(W/<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 ?N/<N>, Mach number, the b parameter and ?n. My results will help to understand the observed properties of turbulence in molecular clouds, and help the researchers do better simulations of the true molecular clouds.