Two-dimensional
(2D) phase transitions in molecular layers adsorbed
on various surfaces have attracted much research attention over the
past decades. Special attention is paid to the solidification/melting
transition using methods based on molecular simulation techniques.
The main research interest is focused on parameters of the liquid–solid
or fluid–solid transitions; that is, the pressure, the chemical
potential, and the density change. It is implied that the liquid and
solid phases coexist like vapor and liquid with a flat interface,
and the transition occurs simply via gradual increase of the solid
fraction at a constant pressure. However, visualization of the transition
based on molecular simulation in a canonical Monte Carlo method in
a relatively large simulation cell has shown that the liquid and solid
phases form islands in the liquid or “lakes” in the
solid of arbitrary size and shape without a distinct interface. For
this reason, the aim of this study was a detailed analysis of the
2D phase transition with the emphasis on the properties of the intermediate
state between the pure liquid (fluid) and the crystal. Thermodynamically,
the transition phase behaves like a two-phase system: when the density
changes over a certain range at a specified temperature, the tangential
pressure is nearly constant. However, no energy barrier was observed
at the transition from the pure liquid or fluid to the intermediate
phase. The absence of the van der Waals loop provides a very efficient
way to determine parameters of the 2D liquid/fluid–solid transition
and the chemical potential of the crystalline phase by a thermodynamic
integration or direct evaluation with the kinetic Monte Carlo simulation
in a sufficiently large simulation cell. The advantage of this way
is that it makes the liquid–solid transition reversible without
resorting to any special procedures.