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NEW RESULTS FOR THE DYNAMICAL CRITICAL BEHAVIOR OF THE TWO-DIMENSIONAL ISING MODEL

DANIEL TIGGEMANN

Institute for Theoretical Physics, Cologne University, 50937 Köln, Germany, European Union, Germany

https://doi.org/10.1142/S0129183104006509Cited by:4 (Source: Crossref)

Abstract

Using the new supercomputer JUMP at the Research Center Jülich, we were able to simulate large lattices (up to L=2·10⁶, a new world record) for long times (up to T=6000 for L=1.5·10⁵). 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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