Table 1.
The exponents describing SAWs in 2D and 3D in regular systems. The values for the coordination numbers are for the square and simple cubic lattices, respectively. For comparison, the exponents in 4D are reported, without taking into account logarithmic corrections, and the coordination was taken as . The values for (, , ) have been calculated from the exponents (, , d) using Equations (10)–(12).
2D | 3D | 4D | |
---|---|---|---|
3/4 | 0.587597(7) | 1/2 | |
43/32 (1.34375) | 1.15695300(95) | 1 | |
2.63815853032790(3) | 4.6840401(50) | 7 | |
11/24 (0.45833…) | 0.26711(2) | 0 | |
5/8 (0.625) | 0.25664(5) | 0 | |
4 | 2.42481(4) | 2 |