diff --git a/docs/source/methods/physics.rst b/docs/source/methods/physics.rst index af595202d9..42bda1d6b4 100644 --- a/docs/source/methods/physics.rst +++ b/docs/source/methods/physics.rst @@ -524,6 +524,28 @@ outgoing angle is ACE Law 61 - Correlated Energy and Angle Distribution +++++++++++++++++++++++++++++++++++++++++++++++++++++ +This law is very similar to ACE Law 44 in the sense that the outgoing angle of +the neutron is correlated to the outgoing energy and is not sampled from a +separate distribution. In this case though, rather than being determined from an +analytical distribution function, the cosine of the scattering angle is +determined from a tabulated distribution. For each incident energy :math:`i` and +outgoing energy :math:`j`, there is a tabulated angular distribution. + +The calculation of the outgoing energy of the neutron proceeds exactly the same +as in the algorithm described in :ref:`ace-law-4`. In that algorithm, we found +an interpolation factor :math:`f`, statistically sampled an incoming energy bin +:math:`\ell`, and sampled an outgoing energy bin :math:`j` based on the +tabulated cumulative distribution function. Once the outgoing energy has been +determined with equation :eq:`ace-law-4-energy`, we then need to decide which +angular distribution to use. If histogram interpolation was used on the outgoing +energy bins, then we use the angular distribution corresponding to incoming +energy bin :math:`\ell` and outgoing energy bin :math:`j`. If linear-linear +interpolation was used on the outgoing energy bins, then we use the whichever +angular distribution was closer to the sampled value of the cumulative +distribution function for the outgoing energy. The actual algorithm used to +sample the chosen tabular angular distribution has been previously described in +:ref:`angle-tabular`. + ACE Law 66 - N-Body Phase Space Distribution ++++++++++++++++++++++++++++++++++++++++++++