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Ossola, Giovanni; Sokal, Alan D
Physical review. E, Statistical, nonlinear, and soft matter physics, 08/2004, Letnik: 70, Številka: 2 Pt 2Journal Article
We show that linear congruential pseudo-random-number generators can cause systematic errors in Monte Carlo simulations using the Swendsen-Wang algorithm, if the lattice size is a multiple of a very large power of 2 and one random number is used per bond. These systematic errors arise from correlations within a single bond-update half-sweep. The errors can be eliminated (or at least radically reduced) by updating the bonds in a random order or in an aperiodic manner. It also helps to use a generator of large modulus (e.g., 60 or more bits).
