منابع مشابه
Gaussian core model in two dimensions. I. Melting transition
The method of molecular dynamics computer simulation has been used to examine the solid-fluid transition for the Gaussian core model in two dimensions. The system contained 780 particles subject to periodic boundary conditions, and confined to a single reduced density p* = 3• The virial pressure, mean potential energy, and pair correlation functions all indicate that the melting process is firs...
متن کاملGaussian core model phase diagram and pair correlations in high Euclidean dimensions.
The physical properties of a classical many-particle system with interactions given by a repulsive Gaussian pair potential are extended to arbitrarily high Euclidean dimensions. The goals of this paper are to characterize the behavior of the pair correlation function g(2) in various density regimes and to understand the phase properties of the Gaussian core model (GCM) as parametrized by dimens...
متن کاملGaussian core model in two dimensions. II. Solid and fluid phase topological distribution functions
Local structure in the two-dimensional Gaussian core model at p* = 3/2 has been anayzed through the topology of nearest-neighbor polygons. Disorder is revealed by the presence of nonhexagonal polygons (disclinations). Near the melting point most disclination polygons have either five or seven sides and these are present in nearly equal concentrations. The concentrations increase by an order of ...
متن کاملPhase diagram of the Gaussian-core model.
We trace with high numerical accuracy the phase diagram of the Gaussian-core model, a classical system of point particles interacting via a Gaussian-shaped, purely repulsive potential. This model, which provides a reliable qualitative description of the thermal behavior of interpenetrable globular polymers, is known to exhibit a polymorphic fcc-bcc transition at low densities and reentrant melt...
متن کاملHexatic phase in the two-dimensional Gaussian-core model.
We present a Monte Carlo simulation study of the phase behavior of two-dimensional classical particles repelling each other through an isotropic Gaussian potential. As in the analogous three-dimensional case, a reentrant-melting transition occurs upon compression for not too high temperatures, along with a spectrum of waterlike anomalies in the fluid phase. However, in two dimensions melting is...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2018
ISSN: 0012-7094
DOI: 10.1215/00127094-2018-0018