Abstract
We have carried out micro-canonical Monte Carlosimulations of a planar rotator model in 30 × 30 lattice using periodic boundary conditions. The energy distribution of the rotator in the lattice shows features that can be associated with spin wave and vortex excitations. The results supplement the first-order transition observed in canonicalMonte Carlosimulation, due to vortex nucleation. We also see features that can be associated with the in-homogeneity of vortex charge in the critical region.
Highlights
Simulations of statistical systems have gained much interest, recently [1,2,3,4]
We have carried out micro-canonical Monte Carlo simulations of a planar rotator model in 30 × 30 lattice using periodic boundary conditions
The energy distribution of the rotator in the lattice shows features that can be associated with spin wave and vortex excitations
Summary
Simulations of statistical systems have gained much interest, recently [1,2,3,4]. The spin-models with continuous symmetry, such as the planar rotator model [5], has been studied significantly to know its properties and applicability to physical systems. We have carried out micro-canonical Monte Carlo simulations of a planar rotator model in 30 × 30 lattice using periodic boundary conditions. The energy distribution of the rotator in the lattice shows features that can be associated with spin wave and vortex excitations.
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