6533b872fe1ef96bd12d2f7d
RESEARCH PRODUCT
Errors in Monte Carlo simulations using shift register random number generators
Nigel B. WildingFriederike Schmidsubject
Systematic errorPhysicsRandom number generationmedia_common.quotation_subjectLagMonte Carlo methodCondensed Matter (cond-mat)General Physics and AstronomyFOS: Physical sciencesStatistical and Nonlinear PhysicsCondensed MatterAsymmetryComputer Science ApplicationsDistribution (mathematics)Computational Theory and MathematicsCondensed Matter::Statistical MechanicsStatistical physicsMathematical Physicsmedia_commonSpin-½Shift registerdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1996-12-01 |