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

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

2004-04-02

arxiv.org/abs/cond-mat/0404050v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures, submitted to Int. J. Mod. Phys. C

Scientific paper

10.1142/S0129183104006509

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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