Multigrid simulation of the XY model
1991; Elsevier BV; Volume: 356; Issue: 3 Linguagem: Inglês
10.1016/0550-3213(91)90386-c
ISSN1873-1562
AutoresArjan Hulsebos, Jan Smit, Jeroen C. Vink,
Tópico(s)Magnetic properties of thin films
ResumoWe test a multigrid Monte Carlo method for systems with compact variables in the two dimensional XY model on lattices up to 256 × 256. In the vortex phase, using a 10-hit Metropolis updating scheme, we find the integrated autocorrelation time τ for the magnetic susceptibility scaling with the correlation length ζ like τ ∝ ζ1.35(20) in the range ζ ≈ 12–40. In the spin-wave phase critical slowing down appears to be eliminated.
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