Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).
Subleading critical exponents from the renormalisation group
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abstract
We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to leading order in the derivative expansion. Further results are derived for other cutoffs including smooth, sharp and background field cutoffs. An estimate for higher order corrections is given as well. We establish that the leading antisymmetric corrections to scaling are strongly subleading compared to the leading symmetric ones.
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cond-mat.stat-mech 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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The dynamic critical exponent $z$ of the three-dimensional Ising universality class: Monte Carlo simulations of the improved Blume-Capel model
Monte Carlo simulations of the improved Blume-Capel model give the dynamic critical exponent of the 3D Ising universality class as z = 2.0245(15).