For a decade now the subject of the nature of the two-dimensional melting transition has
remained controversial. An elegant theory based on the unbinding of pairs of crystal defects …

Early in this century, the newly discovered x-ray diffraction by crystals made a complete
change in crystallography and in the whole science of the atomic structure of matter, thus …

The main aspects of the theory of phase transitions in two-dimensional degenerate systems
(Berezinskii–Kosterlitz–Thouless, or BKT, transitions) are reviewed in detail, including the …

We present the first direct calculation by simulation of the excess surface free energy of a
crystal–liquid interface. We perform these calculations on the (111),(100), and (110) …

We have observed a two-stage melting transition in a two-dimensional (2D) colloidal
suspension of highly charged, submicron-sized spheres in water using optical microscopy …

A theory of melting in two dimensions via the spontaneous generation of grain boundaries is
worked out. We find that this mechanism is more favorable than the dislocation unbinding …

The high-temperature behavior of a high-angle twist grain boundary, a free surface, and
planar arrays of voids of various sizes, all on the (001) plane in copper, are studied through …

We show that the simplest model fluids in two and three dimensions, namely, the hard-disk
and hard-sphere fluids, exhibit a structural precursor to the freezing transition, which …

We report grand canonical Monte Carlo simulations for a Lennard-Jones (LJ) fluid modeled
on methane in slit-shaped pores of several materials and pore widths. Three types of pore …

Despite the fundamental nature and practical importance of melting, there is still no
generally accepted theory of this ubiquitous phenomenon. Even the earliest simulations of …