which is of the linear-isotropic type. Given the even moments, the parameters and can be determined. However, not for every combination of and from a distribution function we can find such parameters. In particular, it can be shown, that
In Equation 3.13 the value comes from a Gaussian distribution. The value of 1 is reached from a distribution function of the form in the limit .
Likewise one can show that
must hold. Our implementation of the diffusion closure uses one lookup table for and one for
both parameterized by the single parameter . From the study of Monte Carlo data we know that the range of parameters and in the results largely exceeds the range of and given by Equations 3.13 and 3.15.
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