Z2 symmetry: Ising spin ±1
Probabilities and Performances :

  • Figure: The Ising probability and the walker probability. The walker algorithm provide a uniform probability for 2 states. First we choose randomly the "box" (0) or (1). Then using an Alias we can get the + or - state. More ...
  • Figure: comparison of the autocorrelation time for various algorithms for the two dimensional ferromagnetic square lattices (2c), L=10
    The critical temperatures are shown by the squares
    • AW4=Alias Walker for 4 spins
    • AWH4=Alias Walker Hasting for 4 spins
    • DHB=Direct Heat-Bath
    • Me  =Metropolis
    • Me d = Restricted Metropolis
  • Figure: comparison of the time of simulation for various algorithms for the two dimensional ferromagnetic square lattices (2c), L=10
    The critical temperatures are shown by the squares
    • AW4=Alias Walker for 4 spins
    • AWH4=Alias Walker Hasting for 4 spins
    • DHB=Direct Heat-Bath
    • Me  =Metropolis
    • Me d = Restricted Metropolis
  • Figure: comparison of the rate of simulation for various algorithms for the ferromagnetic square lattices (2c), L=10
    The critical temperatures are shown by the squares
    • DHB=Direct Heat-Bath
    • AW4=Alias Walker for 4 spins
    • AWH4=Alias Walker Hasting for 4 spins
    • Me  =Metropolis
    • Me d = Restricted Metropolis