We generate random Gaussian turbulent velocity fields with a Kolmogorov spectrum and use these to obtain synthetic line-of-sight velocity profiles. The profiles are found to be similar to line profiles observed in molecular clouds. We suggest methods for analysing measured line profiles to test whether they might arise from Gaussian Kolmogorov turbulence.

accepted in ApJ, compressed postscript, figures not included. Complete preprint available at http://ucowww.ucsc.edu/~dubinski/home.html or by request to dubinski@lick.ucsc.edu