For the synchronous model, all sites are updated simultaneously (using two copies of the lattice) as in a cellular automaton. Lattice z cc λc = (1 - cc)/cc 2-d asynchronous SIR model triangular lattice 6 0.199727(6) , 0.249574(9 ) 2-d asynchronous SIR model square lattice 4 0.1765(5), 0.1765005(10) 4.66571(3) 2-d asynchronous SIR model honeycomb lattice 3 0.1393(1) 6.179(5) 2-d synchronous SIR model square lattice 4 0.22 3.552-d asynchronous SIR model on Penrose lattice0.1713(2)2-d asynchronous SIR model on Ammann-Beenker lattice0.1732(5)2-d asynchronous SIR model on random Delaunay triangulations0.1963(3) Note that the synchronous version is the same as the directed percolation model.
For the synchronous model, all sites are updated simultaneously (using two copies of the lattice) as in a cellular automaton. Lattice z cc λc = (1 - cc)/cc 2-d asynchronous SIR model triangular lattice 6 0.199727(6) 4.0068(2 ) 2-d asynchronous SIR model square lattice 4 0.1765(5), 0.1765005(10) 4.66571(3) 2-d asynchronous SIR model honeycomb lattice 3 0.1393(1) 6.179(5) 2-d synchronous SIR model square lattice 4 0.22 3.552-d asynchronous SIR model on Penrose lattice0.1713(2)2-d asynchronous SIR model on Ammann-Beenker lattice0.1732(5)2-d asynchronous SIR model on random Delaunay triangulations0.1963(3) Note that the synchronous version is related to the directed percolation model.
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