2016MNRAS.458.3489D

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 with different values of the 1D density Fourier spectral index β_n, the turbulence driving parameter, i.e. the b parameter and the 1D Fourier velocity power spectral index β_v. Then I calculate the line profiles of ¹³CO emission on every sight line. I derive the statistical properties of column density N, line intensity W, peak intensity T_peak and velocity dispersion V_rms on every sight line. I discover that as β_n increases, (1) the standard deviations σ_ln (N/<N> )_ and σ_ln (W/<W> )_ of the logarithmic column density ln (N/<N> ) and the logarithmic integrated intensity ln (W/<W> ) increase; (2) the number of the low T_peak values becomes larger; (3) the probability distribution function (PDF) of V_rms inclines to left a little. As the b parameter increases, (1) the values of both σ_ln (N/<N> )_ and σ_ln (W/<W> )_ increase; (2) the numbers of both the low T_peak values and the saturated T_peak values become larger; (3) the PDF of V_rms inclines to left obviously. As β_v increases, (1) the PDF of ln (W/<W> ) remains generally unchanged; (2) the PDF of T_peak remains generally unchanged; (3) the PDF of V_rms inclines to left obviously. I also discuss the relationship among σ_N/<N> _, Mach number, the b parameter and β_n.