Table 1 Critical exponents for percolation phase transition in dimensions d = 1, 2, 3, 4, 5, and d ≥ 6.

β: P_∞ (p) ∝ (p − p_c)^β

0

5/36

0.4181 (8)

0.657 (9)

0.830 (10)

1

γ: S_ave ∝|p − p_c|^−γ

1

43/18

1.793 (3)

1.442 (16)

1.185 (5)

1

ν: ξ ∝ |p − p_c|^−ν

1

4/3

0.8765 (16)

0.689 (10)

0.569 (5)

1/2

σ: s_ξ(p) ∝ |p − p_c|^−1/σ

1

36/91

0.4522 (8)

0.476 (5)

0.496 (4)

1/2

τ: n(s,p) ∝ s^−τG(s/s_ξ)

2

187/91

2.18906 (6)

2.313 (3)

2.412 (4)

5/2

D: s_ξ ∝ ξ^D

1

91/48

2.523 (6)

3.05 (5)

3.54 (4)

4