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Phase diagram of the system with the repulsive shoulder potential in two dimensions: density functional approach. (English) Zbl 1400.82073

Summary: In the framework of the density functional theory of freezing proposed in our previous works, we calculate the phase diagram of two-dimensional system of particles interacting through the repulsive shoulder potential. This potential consists of the hard core and repulsive shoulder of the larger radius. It is shown that at low densities the system melts through the continuous transition in accordance with the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) scenario, while at high densities the conventional first order transition takes place.

MSC:

82B26 Phase transitions (general) in equilibrium statistical mechanics
80A22 Stefan problems, phase changes, etc.
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