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New results for the dynamical critical behaviour of the two-dimensional Ising model

Daniel Tiggemann
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Abstract

Using the new supercomputer JUMP at the Research Center Juelich, we were able to simulate large lattices (up to L=2000000, meaning a new world record) for long times (up to T=6000 for L=150000). Using this data, we examined the dynamical critical exponent z. The old assumption of z=2 with logarithmic corrections seems very unlikely according to our data, leaving the asymptotic value of z~=2.167.

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Daniel Tiggemann. 2004-04-02. New results for the dynamical critical behaviour of the two-dimensional Ising model. https://doi.org/10.1142/s0129183104006509

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