Table 2.

Values of exponents as reported in the literature

	Value
Exponent	2d	3d	Lattice model	Molecular dynamics	Experiments
β	1.52	1.38	1.78 (43)	2 (45), 2.33 (8), 3(3d) (8)	2.22(3d) (46), 2.78 (47), 2.22(3d) (48)
ν/β	0.72	0.53	0.5 (19), 0.6 (43), 1 (20)	0.5 (7), 0.43 (8), 0.33(3d) (8)
τ	1.36	1.43	1.34 (49),1.25 (16)	1.3 (36), 1.3(3d) (36)	1.37–1.49(3d) (50), 1.5(3d) (60)
df	1.1	1.5	1.5 (20), 1.5 (43), 1 (16)	0.9 (36), 1.1(3d) (36), 1 (51), 1.5(3d) (51), 1.6(3d) (52)
(2 − τ)df	0.7	0.8	0.75 (16)	1 (10), 0.6 (36), 0.8(3d) (36)
z/df	0.52	0.43	0.68 (49)		0.5 (60)
θ	0.57	0.35		0.54 (36), 0.43(3d) (36), 0.5 (35), 0.5(3d) (35)

The exponents characterizing the relationships between length and strain rate $\mathrm{\xi }\sim {\dot{\mathrm{\gamma }}}^{-\mathrm{\nu }/\mathrm{\beta }}$, average avalanche size and system length $\langle S\rangle \sim L^{\left(2-\mathrm{\tau }\right)d_f}$, and avalanche durations with sizes $T\sim S^{z/d_f}$ are reported often and are shown here. Three-dimensional observations are labeled (3d); otherwise, the values correspond to 2D systems.