Abstract
O(N) ferromagnets, anisotropic or not, with standard nearestneighbour interaction are expressed asN Ising models coupled with certain auxiliary fields. A hybrid Monte Carlo algorithm is then developed. It consists of global updates of the Ising variables using the Fortuin-Kasteleyn representation, combined with ordinary heat-bath or Metropolis updates of the remaining variables. The method generalizes toZ(2N) models. A numerical test forZ(8) at β=1.1 is reported. It reveals a dramatic reduction in critical slowing-down.
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