Measuring the Decorrelation Times of Fourier Modes in Simulations

Details Measuring the Decorrelation Times of Fourier Modes in Simulations Measuring the Decorrelation Times of Fourier Modes in Simulations

1993-01-13

arxiv.org/abs/hep-lat/9301003v1

Phys.Lett. B305 (1993) 131-135

Physics

High Energy Physics

High Energy Physics - Lattice

16 pp (LaTeX), PUPT-1378 , IASSNS-HEP-93/2

Scientific paper

10.1016/0370-2693(93)91117-6

We describe a method to study the rate at which modes decorrelate in numerical simulations. We study the XY model updated with the Metropolis and Wolff dynamics respectively and compute the rate at which each eigenvector of the dynamics decorrelates. Our method allows us to identify the decorrelation time for each mode separately. We find that the autocorrelation function of the various modes is markedly different for the `local' Metropolis compared to the `non-local' Wolff dynamics. Equipped with this new insight, it may be possible to devise highly efficient algorithms.

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