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

Daniel Tiggemann ()
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Daniel Tiggemann: Institute for Theoretical Physics, Cologne University, 50937 Köln, Germany, European Union, Germany

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1069-1073

Abstract: Using the new supercomputer JUMP at the Research Center Jülich, we were able to simulate large lattices (up toL=2·106, a new world record) for long times (up toT=6000forL=1.5·105). Using this data, we examined the dynamical critical exponentz. The old assumption ofz=2with logarithmic corrections seems very unlikely according to our data, leaving the asymptotic value ofz≃2.167.

Keywords: Ising model; critical point; Monte Carlo; relaxation (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006509

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