 Figure: comparison of the time consumption to simulate
a two dimensional three state (S=1) ferromagnetic Ising_S spins
on a square lattice for various algorithms
(Metropolis,Me, Restricted metropolis, Me_{d}, Direct Heat Bath, DHB,
Restricted Direct Heat Bath, DHB_{d},
Walter Algorithm, WA,
Restricted Walter Algorithm Hasting, WAH_{d} ).
We note that the DHB and WA are equivalent. Only the time
consumption changes. DHB_{d} and WAH_{d} are also equivalent.
The critical temperatures are shown by the squares
The Restricted Walter Algorithm Hasting, WAH_{d} or the direct
Heat Bath DHB_{d}
are the fastest algorithms at the critical temperature.
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