TABLE 1.
Static exponents characterize variables that do not change through time, such as susceptibility, specific heat, and the distribution of correlations. Exponents are taken from (25; 26). Additional exponents and further explanation can be found in the chart in reference (18). Each exponent applies to all systems within the same universality class (e.g. 2-D Ising). An exponent of 0 denotes logarithmic dependence. Dynamic exponents, which are not shown here, characterize the time dependence of variables, and each exponent depends on the details of each system (e.g. 2-D Ising with or without conserved order parameter) (106).
Measured quantity | Static Exponent | 2-D Ising prediction | 3-D Ising prediction | Mean field prediction |
---|---|---|---|---|
Specific heat | α | 0 | 0.110(5) | 0 |
Order parameter | β | 1/8 | 0.325±0.0015 | 1/2 |
Susceptibility/Compressibility | γ | 7/4 | 1.2405±0.0015 | 1 |
Shape of critical isotherm | δ | 15 | 4.82(4) | 3 |
Correlation length | ν | 1 | 0.630(2) | 1/2 |
Asymptote of correlation function | η | 1/4 | 0.32±0.003 | 0 |
Line or surface tension | μ = (d − 1) ν | 1 |