Hybrid cluster-local Monte Carlo dynamics stay efficient along the entire critical line of the 2D Blume-Capel model but revert to local-update scaling precisely at tricriticality because vacancy percolation blocks nonlocal spin relaxation.
Binder, Critical Properties from Monte Carlo Coarse Graining and Renormalization, Phys
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The authors derive exact flow equations for the constraint effective action in the Ising class using FRG, solve them numerically at second-order derivative expansion for 2D and 3D systems, extract universal rate functions and momentum-dependent correlations, and benchmark against Monte Carlo.
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Cluster Dynamics Stay Fast-Until Tricriticality
Hybrid cluster-local Monte Carlo dynamics stay efficient along the entire critical line of the 2D Blume-Capel model but revert to local-update scaling precisely at tricriticality because vacancy percolation blocks nonlocal spin relaxation.
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Constraint effective action and critical correlation functions at fixed magnetization
The authors derive exact flow equations for the constraint effective action in the Ising class using FRG, solve them numerically at second-order derivative expansion for 2D and 3D systems, extract universal rate functions and momentum-dependent correlations, and benchmark against Monte Carlo.