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