Vectorised dynamics Monte Carlo renormalisation group for the Ising model
- 1 October 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (14) , L801-L806
- https://doi.org/10.1088/0305-4470/17/14/014
Abstract
Applying the dynamic Monte Carlo renormalisation group to the Glauber kinetic Ising model, the dynamical critical exponent z is found by simulation of up to 81922 and 5123 spins on the vector computer CDC Cyber 205, using the new 'Method of 2d colours' for the Monte Carlo part (update speed 22 megaspins/s). The two-dimensional result z=2.14-or+0.02 disagrees with Domany's hypothesis (1984). For three dimensions, a systematic trend in z with increasing blocksize leads to an extrapolated value z=1.965-or+0.010, which is consistent with a theoretically expected value 2.02.Keywords
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