Numerical tests confirm the shaken dynamics reproduces the predicted Ising phase transition curve, while mixing-time and GPU benchmark results support its use as a fast parallel sampler.
Criticality of measures on 2-d Ising configurations: from square to hexagonal graphs
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abstract
On the space of Ising configurations on the 2-d square lattice, we consider a family of non Gibbsian measures introduced by using a pair Hamiltonian, depending on an additional inertial parameter $q$. These measures are related to the usual Gibbs measure on $\Z^2$ and turn out to be the marginal of the Gibbs measure of a suitable Ising model on the hexagonal lattice. The inertial parameter $q$ tunes the geometry of the system. The critical behaviour and the decay of correlation functions of these measures are studied thanks to relation with the Random Cluster model.
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physics.comp-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Parallel simulation of two--dimensional Ising models using Probabilistic Cellular Automata
Numerical tests confirm the shaken dynamics reproduces the predicted Ising phase transition curve, while mixing-time and GPU benchmark results support its use as a fast parallel sampler.