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Micro-canonical Monte Carlo simulation of spin wave in 2D classical XY-model

Smita Ota, S.B.Ota

We have carried out micro-canonical Monte Carlo simulations of the two dimensional (2D) XY-model in a 30×30 lattice using periodic boundary conditions. The energy distribution of the spins in the lattice has been studied. The temperature dependence of the spin wave energy is determined from the average and the most probable energies of the spins; which is found to be in good agreement with that predicted from the spin wave theory. The vortex unbinding transition takes place, when the frequency of the most probable spin-wave energy reduces by one order of magnitude.