Test for random number generators: Schwinger-Dyson equations for the Ising model
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1998
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American Physical Society
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Abstract
We use a set of Schwinger-Dyson equations for the Ising model to check several random number generators. For the model in two and three dimensions, it is shown that the equations are sensitive tests of bias originating with the random numbers. The method is almost costless in computer time when added to any simulation.
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© 1998 American Physical Society. We acknowledge interesting discussions with L. A. Fernández, J. J. Ruiz-Lorenzo, and A. Muñoz-Sudupe. The computations have been carried out using the RTNN machines at the Universidad de Zaragoza and the Universidad Complutense de Madrid. We acknowledge CICyT for partial financial support (Contracts Nos. AEN97-1708 and AEN97- 1693).