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[Preprint]. 2025 May 13:arXiv:2301.09600v4. [Version 4]

TABLE I.

Critical exponents for the Directed percolation and Ising model universality classes on lattices of d=2 and 3 dimensions, compared to the mean-field (MF) prediction. Values are given to the hundredths place; more accurate estimates are available in the cited references.

Directed percolation [52] Ising model

d=2 d=3 MF d=2[18] d=3[53] MF
ν* 0.73 0.58 1/2 1 0.63 1/2
z* 1.77 1.89 2 2.17 [54] 2.02 [55] 2
η* −0.41 −0.17 0 1/4 0.036 0
β* 0.28 0.82 1 1/8 0.33 1/2
Δ* 1.87 1.91 2 15/8 1.56 3/2

Derived exponents using the scaling relations β*=ν*2d+η* and Δ*=ν*2d+2z*η* for the directed percolation universality class [51].