Before revision: 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 3.55 Contact process (asynchronous SIS model) I → S with unit rate; S → I with rate λnI/z where nI is the number of nearest neighbor I sites, and z is the total number of nearest neighbors (equivalently, each I attempts to infect one neighboring site with rate λ) (Note: S → I with rate λn in some definitions, implying that lambda has one-fourth the values given here).
After revision: 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 triangulations0.1763(3) Contact process (asynchronous SIS model) I → S with unit rate; S → I with rate λnI/z where nI is the number of nearest neighbor I sites, and z is the total number of nearest neighbors (equivalently, each I attempts to infect one neighboring site with rate λ) (Note: S → I with rate λn in some definitions, implying that lambda has one-fourth the values given here).