Potts Spins

Probabilities and Performances :

Figure: comparison of the autocorrelation time for various algorithms for the two dimensional ferromagnetic square lattices (2c). q=3, L=20 The critical temperatures are shown by the squares AW=Alias Walker AWHd=Restricted Alias Walker Hasting DHB=Direct Heat-Bath DHBd=Restricted Direct Heat-Bath Me  =Metropolis Med  = Restricted Metropolis
Figure: comparison of the time of simulation for various algorithms for the two dimensional ferromagnetic square lattices (2c) and the three dimensional antiferromagnetic cubic lattice (3c), q=3, L=20 The critical temperatures are shown by the squares AW=Alias Walker AWHd=Restricted Alias Walker Hasting DHB=Direct Heat-Bath DHBd=Restricted Direct Heat-Bath Me  =Metropolis Med  = Restricted Metropolis
Figure: comparison of the rate of simulation for various algorithms for the ferromagnetic square lattices (2c) and the three dimensional antiferromagnetic cubic lattice (3c). q=3, L=20 The critical temperatures are shown by the squares AW=Alias Walker AWHd=Restricted Alias Walker Hasting DHB=Direct Heat-Bath DHBd=Restricted Direct Heat-Bath Me  =Metropolis Med  = Restricted Metropolis
Figure: comparison of the time consumption at the critical temperature as function of the lattice size for various algorithms for the ferromagnetic square lattices (2c). q=3 AW=Alias Walker AWHd=Restricted Alias Walker Hasting DHB=Direct Heat-Bath DHBd=Restricted Direct Heat-Bath Me  =Metropolis Med  = Restricted Metropolis
Figure: comparison of the time consumption at the critical temperature as function of the number of state q for various algorithms for the ferromagnetic square lattices (2c). L=20 AW=Alias Walker AWHd=Restricted Alias Walker Hasting DHB=Direct Heat-Bath DHBd=Restricted Direct Heat-Bath Me  =Metropolis Med  = Restricted Metropolis

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