Errors in Monte Carlo simulations using shift register random number generators

Details Errors in Monte Carlo simulations using shift register random number generators Errors in Monte Carlo simulations using shift register random number generators

1995-12-19

arxiv.org/abs/cond-mat/9512135v1

Intn. Journ. Mod. Phys. C 6, 781 (1995).

Physics

Condensed Matter

7 pages Revtex, 4 ps figures (uuencoded). Paper also available from: http://moses.physik.uni-mainz.de/~wilding/home_wilding.ht

Scientific paper

We report large systematic errors in Monte Carlo simulations of the tricritical Blume-Capel model using single spin Metropolis updating. The error, manifest as a $20\%$ asymmetry in the magnetisation distribution, is traced to the interplay between strong triplet correlations in the shift register random number generator and the large tricritical clusters. The effect of these correlations is visible only when the system volume is a multiple of the random number generator lag parameter. No such effects are observed in related models.

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