Freezing transition of two-dimensional Lennard-Jones fluids

We have investigated, employing the techniques of molecular-dynamics computer simulation, the onset of the freezing region of a two-dimensional fluid interacting with a Lennard-Jones potential. We have studied the pair-distribution function g(r) and its Fourier transform S(q) for unique, qualitative, and quantitative structural characteristics associated with the onset of freezing and for the validity of a universal freezing criterion. We conclude that such a criterion exists, but its value is sensitive to even slight changes in density and temperature